Part I. Total Yield Measurement for the ²¹Ne(α,n)²⁴Mg Reaction. Part II. A Study of the ¹²C(He,p)¹⁴N Reaction Citation Mak, Hay Boon (1972) Part I. Total Yield Measurement for the ²¹Ne(α,n)²⁴Mg Reaction. Part II. A Study of the ¹²C(He,p)¹⁴N Reaction. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/MAQD-H937. https://resolver.caltech.edu/CaltechTHESIS:05092016-085355645 Abstract PART I The total cross-section for the reaction 21 Ne(α, n) 24 Mg has been measured in the energy range 1.49 Mev ≤ E cm ≤ 2.6 Mev. The cross-section factor, S(O), for this reaction has been determined, by means of an optical model calculation, to be in the range 1.52 x 10 12 mb-Mev to 2.67 x 10 12 mb-Mev, for interaction radii in the range 5.0 fm to 6.6 fm. With S(O) ≈ 2 x 10 12 mb-Mev, the reaction 21 Ne(α, n) 24 Mg can produce a large enough neutron flux to be a significant astrophysical source of neutrons. PART II The reaction 12 C( 3 He, p) 14 N has been studied over the energy range 12 Mev ≤ E lab ≤ 18 Mev. Angular distributions of the proton groups leading to the lowest seven levels in 14 N were obtained. Distorted wave calculations, based on two-nucleon transfer theory, were performed, and were found to be reliable for obtaining the value of the orbital angular momentum transferred. The present work shows that such calculations do not yield unambiguous values for the spectroscopic factors. Item Type: Thesis (Dissertation (Ph.D.)) Subject Keywords: (Physics) Degree Grantor: California Institute of Technology Division: Physics, Mathematics and Astronomy Major Option: Physics Thesis Availability: Public (worldwide access) Research Advisor(s): Barnes, Charles A. Thesis Committee: Unknown, Unknown Defense Date: 12 November 1971 Funders: Funding Agency Grant Number NSF GP-28027 Record Number: CaltechTHESIS:05092016-085355645 Persistent URL: https://resolver.caltech.edu/CaltechTHESIS:05092016-085355645 DOI: 10.7907/MAQD-H937 Default Usage Policy: No commercial reproduction, distribution, display or performance rights in this work are provided. ID Code: 9706 Collection: CaltechTHESIS Deposited By: INVALID USER Deposited On: 11 May 2016 16:51 Last Modified: 01 Jul 2024 22:15 Thesis Files Preview PDF - Final Version See Usage Policy. 53MB Repository Staff Only: item control page

PART I TOTAL YIELD MEASUREMENTS FOR THE 21 Ne(~,n) 24 Mg REACTION A STUDY OF THE PART II 12 c( He,p) 14N REACTION Thesis by Hay Boon Mak In Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy California Institute of Technology Pasadena, California 1972 (Submitted November 12, 1971) (ii) TO MY MOTHER AND FATHER (iii) ACKNOWLEIXiMENTS It has been a great pleasure to work in the Kellogg Radiation Laboratory and I wish to express my sincere gratitude to all those who create the stimulating and enjoyable atmosphere there. I particularly wish to thank Professor C. A. Barnes for his helpful guidance throughout this work, and Professor William A. Fowler for his enlightening discussions. The 21 Ne(a,n) 24 Mg experiment was carried out in collaboration with Dr. D. Ashery, and the 12 c(3He,p) 14N experiment with Dr. w. K. Lin. I am deeply indebted to them both. Dr. E. A. Adelberger and Dr. A. B. McDonald introduced the author to the experimental equipment and techniques and to them deep appreciation is due. This work is supported in part by National Science Foundation grant GP-28027. (iv) ABSTRACT PART I The total cross-section for the reaction 21 Ne(a,n) 24Mg has been measured in the . energy range 1. 49 Mev ~ Et~ 2. 6 Mev. The cross-section factor, S(O), for this reaction has been detennined, by means of an optical model calculation, to be in the range 1.52 x 10 12 mb-Mev to 2.67xlo 12 mb-Mev, for interaction radii in the range 5.0 fm to 6.6 fm. With S(O) ~ 2 x 10 12 mb-Mev, the reaction 21 Ne(~,n) 24 Mg can produce a large enough neutron flux to be a signifi cant astrophysical source of neutrons. PART II The reaction 12 c(3He,p) 14N has been studied over the energy range 12 Mev~ Elab ~ 18 Mev. Angular distri - butions of the proton groups leading to the lowest seven levels in 14N were obtained. Distorted wave calculations, based on two-nucleon transfer theory, were performed, and were found to be reliable for obtaining the value of the orbital angula r momentum transferred. The present work shows that such calculations do not yield unambiguous values for th e spectroscopic factors. ( v) TABLE OF CONTENTS PART I Section Title Page A INTRODUCTION 2 B APPARATUS 6 l. 2. 6 3. 4. c 9 11 11 11 12 15 18 1. 18 20 Neutron Detection Gamma Ray Detection RESULT 1. 2. J. 4. 5. E 7 7 8 EXPERIMENTAL METHOD 2. D Pulsed-beam System Neutron Detection (i) Neutron Detection (ii) Electronics (iii)Neutron Detector Efficiency Gamma Ray Detection (i) Gamma Ray Detector (ii) Electronics (iii)Gamma Counter Efficiency Target and Gas Cell Neutron Angular Distribution Neutron Cross-sections Gamma Ray Cross-section Total Cross-section Analysis CONCLUSION REPERENCES 27 27 28 28 31 31 37 42 (vi) PART I (cont'd) Title Section ~ 44 TABLES 1. 2. 3. 4. 5. 6. FIGURES Gamma Ray Counter Efficiencies at 3. 5 cm. Angular Distributions of n 0 + n 1 • Excitation Function of a(n 0 + n 1 ). Excitation Functions of a(4.2 Mev), a(2.8 Mev) and a(l. 37 Mev). Excitation Function of the Reaction 21Ne(a.rn)24Mg. Table of Parameters that Yield Best Fit. 44 46 48 50 52 54 56 1. Schematic Diagram of the Beam 56 Pulsing System for the ONR-CIT Tandem. 2. Block Diagram of the Electronics 58 Used to Measure Neutron Flight Time. 3. Neutron Detector Efficiency Curve. 60 4. Block Diagram of the Electronics 62 Used to Measure Gamma Ray Intensities and Energies. 5. Schematic Drawing of the Gas Cell. 64 6a. Alpha Particle Spectra for 66 Determination of the Ni Foil Thickness and the Straggling of the Transmitted Alpha Particle. (vii) PART I (cont'd) Section Title FIGURES (cont'd) 6b. Measurements of Ni Foil Thickness by the Reaction l9F(p,n,y) 16 o. 7, Energy Level Diagram of 24Mg. 8. Neutron Time-of-flight Spectrum at E = 2.36 Mev. 9, Gamma Ray Time-of-flight spectrum. 10. Gamma Ray Spectra Obtained at E = 2.1 Mev. 11. Angular Distribution of the 1.37 Mev Gamma Rays. 12. Angular Distribution of the 2.86 Mev Gamma Rays. lJ. Angular Distribution of the 4.2 Mev Gamma Rays. 14. Angular Distributions of (n 0 + n ) Groups. 1 15. Excitation Function for the Reaction 21 Ne(n,n) 24 Mg. 16. Cross-section Factor S(E) for the Reaction 21 Ne(n,n) 24Mg. 66 68 70 72 74 76 78 80 82 84 86 (viii) PART II Section Title ~ A INTRODUCTION 89 B EXPERIMENTAL METHOD 93 l• 2. 3. 4. 93 93 95 95 c DATA REDUCTION 1. 2. 3. D 3He Beam Scattering Chamber Target Electronic Circuitry 98 Absolute Differential Cross-section 98 Measurement 12 c(3He,3He412 c Reaction 101 12 c(3He,p) 1 N 102 Reaction ANALYSIS 1. 12 c(3He,3He) 12 c 2. 12 c(3He,p) 14N (i) Reaction Reaction Calculation of the Structural Factor, GNLSJTy 104 104 106 106 (ii) Calculation of Form Factor B~L 108 (iii)Optical-Model Para.meters 109 (iv) Distorted-wave Calculations 110 E APPENDIX CONCLUSION 114 A 117 A. B. Two-Nucleon Stripping Theory Examination of Approximations 1. Zero-range Approximation 2. Local Potential Approximation 3, Radial Cutoffs 117 120 120 122 123 (ix) PART II (cont'd) Section Title 4. 5, 6. APPENDIX Form Factor of Bound State Multiple-step Processes Optical Parameters B Center-of-mass Differential Cross-sections ~ 123 125 126 128 REFERENCES 186 TABLES 190 2. Optical-model Parameters for 12 c(3He,3He) 12 c Elastic Scattering The values of GNLSJTy using J. True's, and Cohen and Kurath's wave functions. Optic~l-model Parameters for 1. 14N(p,p)l4N 190 192 194 Elastic Scattering. FIGURES 1. 2. J. 4. 12" Scattering Chamber Block Diagram of Electronic Circuitry Particle Spectra for the 196 198 200 12c(3He,p)l4N and 12c(3He,p)l4N Reactions Excitation Function for the 202 12 c(-3He,JHe) 12 c Elastic Scattering at alab = 45° 5, Angular Distributions for the 20 4 12 c(3He,3He) 12 c Elastic Scattering (x) PART II (cont'd) Section Title in the range 12 Mev ~ Elab ~ 18 Mev 6. 7. Energy Level Diagram of 14N Angular Distributions for the 206 208 12c(3He,p) 14N(O.O) Reaction in the range 12 Mev ~ Elab ~ 18 Mev 8. Angular Distributions for the 12 c( He,p) 14N(2.Jll) Reaction 210 in the range 12 Mev ~ Elab ~ 18 Mev 9. Angular . Distributions for the 1 2c(3He,p) 14N(J.945) Reaction 212 in the range 12 Mev ~ Elab ~ 18 Mev 10. Angular Distributions for the 1 2c(3He,p) 14N(4.91) Reaction 214 in the range 12 Mev ~ Elab ~ 18 Mev 11. Angular Distribution for the 12 c(3He,p) 14N(5.ll) Reaction 216 in the range 12 Mev ~ Elab ~ 18 Mev 12. Angular Distribution for the 12 c(3He,p) 14N(5,69) Reaction 218 in the range 12 Mev ~ Elab ~ 18 Mev 13. Angular Distribution for the 12 c(3He,p) 14N(5.83) Reaction in the range 12 Mev ~ Elab ~ 18 Mev 220 (xi) PART II (cont'd) Section Title 14. 15. Comparison of DWBA Calculation Using Different Parameters The Position Vector Diagram of the Reaction 12 c(3He,p) 14N ~ 222 224 1 PART I Total Yield Measurement for the 21 Ne(a,n) 24 Mg Reaction. 2 A. INTRODUCTION Within the framework of the s- and R- processes, a rather large neutron flux is needed to synthesize nuclei Cameron (Cam .54) and Greenstein (Gre 54) first suggested the reaction 1 3c + 4He -+ 160 + n with A~ 60. as a possible nuetron source, following the C-N-0 hydrogen burning processes. However, the large relative amount of 14N produced in the C-N-0 cycle would absorb all the neutrons through the reaction 14N + n ~ 14c + p, and thus rule out appreciable neutron production by the 1 3c + 4He -t 160 + n reaction in the products of the C-N-0 cycle. Cameron (Cam 60) later suggested the following sequence as a possible neutron source. --7 18F .+ y Al --7 f3+ + \I + 180 A2 14N + 4He 18F 180 + 4He _, 22Ne 180 + 4He ~ + y AJ 21 Ne + n Q = -0.705 Mev A4 22Ne + 4He -4 25Mg + n Q = -o.48 Mev A5 Due to the high negative Q-value of the reaction J 18o(a.,n) 21 Ne, reaction AJ is expected to dominate over A4, and the 22Ne(a.,n) 25Mg reaction is likely to be an important neutron source. 21 Ne can also be produced by the Ne-Na-Mg cycle in the following sequence, as suggested by Marion and Fowler (MF 57), A6 A7 In this case, 20 Ne present in the material from which the star was formed can be converted into 21 Ne .in the hydrogen-burning region surrounding the heliumburning core. The helium produced in the hydrogen burning can then react with 21 Ne to produce neutrons by the reaction Q -= 2. 557 Mev A8 Alternatively, turbulence at the hydrogen-helium interface could produce 21 Ne from 20 Ne, with subsequent operation of reaction A8. Thus the 21 Ne(a.,n) 24 Mg reaction may also be a significant source of neutron for further nucleosynthesis. The results of the present investigation can be 4 used to obtain the astrophysically useful quantity ~rosssection factor) S(E), for the reaction 21 Ne(a,n) 24Mg. The cross-section factor is related to the total crosssection, a(E), through the equation S(E) = E a(E) exp( 21T,-,) A9 where AlO v = velocity of incident particle, and E = incident channel energy in the centerof-mass system. A theoretical estimate of the cross-section factor of this reaction had been made by Marion and Fowler (MF 57), assuming only s-waves in the incident channel and with the following additional assumptions: ra , 1. rn » 2. the level spacing, D, between levels with the same spin and parity is approximately 100 kev, and J. the reduced a-particle width, ea.2 , is O.l. They estimated that S(O) was in the neighbourhood of 1.6 x 10 16 eV-barns. The differential cross-section for this reaction had been measured by Tanner (Tan 65) at elab = 30° , using an implanted 21 Ne target and a 'Hornyak counter• as 5 neutron detector. Unfortunately, he had considerable difficulty with carbon build-up on the target, which produces neutrons by · the l3c(a,n) 16o reaction. In the present experiment, a gaseous 21 Ne target was used. 1. This has the following advantagesa The target thickness can be determined to within ~ 5.% by a (mercury) manometer, and 2. The amount of carbon deposited on the entrance foil and on the rear wall of the gas cell can be checked by bombarding the empty gas cell with an a-particle beam. If the carbon build- up is found to be exeessive, the foil and the gas cell can be changed. 6 B. 1. APPARATUS Pulsed-beam System This experiment was carried out with the pulsedbeam, time-of-flight system associated with the ONR-CIT tandem which was able to identify the ground state and the first excited state neutron groups from the reaction 21 24 Ne(n,n) Mg. Since the neutrons from the 2nd and Jrd excited states were too low in energy to be detected efficiently by the time-of-flight spectrometer, the gamma-rays emitted by the de-excitation of these states to lower levels were detected by _a 12.7 cm diameter and 10.2 cm long NaI(Tl) crystal. The pulsed-beam and the time-of-flight ~ystem have been described in detail by Dietrich (Die 64), and Adelberger (Ade 67), and, more recently, by McDonald (McD 70). Only a brief description will be given here, together with recent modifications. A block diagram of the pulsed-beam system is shown in figure 1. The beam from the tandem accelerator is chopped by sweeping ~t, at a repetition ~ate of 3,5 megacycles per second, vertically across a pair of horizontal slits to produce beam bursts approximately 2 nanoseconds long. The ions are velocity-modulated before entering the tandem so that they arrive at the 7 chopping slits in bunches. The phase and amplitude of the bunching voltage can be adjusted so that the bunches arrive at the chopping slits just as the beam is being swept across the opening between the slits, thus increasing the instantaneous current. The phase of the bunches, relative to that of the chopping voltage, is very sensitive to fluctuations in the energy of the ions from the ion source. A phase stabilizer, slightly modified from the circuit designed by Adelberger (Ade 67a), automatically adjusts _the phase of the bunching voltage in response to the difference of the currents collected by the upper and lower chopping slits. A typical time-average current of approximately 150 namp of 4He+ ions was used throughout this experiment. The beam current was collected inside the gas cell, and integrated by a commercially available current integrator (Eldorado Model CI-100). 2. Neutron Detection (i) Neutron Detection Neutrons were detected by observing the protonrecoil scintillations in a 12.7 cm diameter, 5.08 cm thick, piece of 'Pilot B• plastic scintillator, mounted on a fast 12.7 cm diameter photo-multiplier (Amperex XP1040). 8 The detector was surrounded by a lead cylinder 6,25 cm thick to reduce gamma ray background. A 1.27 cm thick lead disc in front of the detector attenuated low energy gamma rays to reduce the dead time of the multi-channel analyser. The detector and the shielding were mounted on a cart which moved along an I-beam pi voted at one end, so that the detector could be reproducibly positioned at distances from 10 cm to 200 .cm from the target over the angular range from o0 to 125 (ii) ° Electronics Figure 2 shows a block diagram of the electronic circuits used for neutron detection. A fast negative timing signal from the anode of the photo-multiplier was clipped by a 12.2 cm long coaxial cable, inverted, and fed into the 'START' input of an Ortea (model 437) time-to-amplitude converter (called NTAC below), the input discriminator of which triggered at -250 mv. An r.f. signal picked up by a two-turns loop mounted near the beam deflecting plates was delayed through a variable delay line and amplified. This signal was then differentiated and finally inspected by a fast discriminator, on.e of the outputs of which was fed into the 'STOP' input of the 9 NTAC. The variable delay line was used to adjust the phase of the 'STOP' signal, relative to the time of arrival of the beam bursts at the target, so that the time region of interest for the neutron spectrum fell within the range of the NTAC. A linear signal, referred to later as the slow channel, was taken from the eleventh dynode of the photomultiplier, amplified and inspected by a single channel analyser, whose output was used to gate a multi-channel analyser. The discriminator level of the single channel analyser was set to eliminate noise from the photomultiplier, and very small scintillation-pulses that would have poor timing due to the finite rise-time of the photo-multiplier. (iii) Neutron Detector Efficiency The efficiency, .e (E), of the neutron detector is defined to be e ( E) = !il.fil_ ~l Bl where N0 (E) =number of neutronsof energy E incident on detector, and N(E) = number of neutrons of energy E detected. The d(d,n)3He reaction was used in measuring the 10 efficiency of the detector for neutrons with energies between 1.95 Mev and 10.75 Mev. The needed absolute d(d,n)3He cross-sections were interpolated from the tables of Broll.e y and Fowler (BF 60) . For low energy neutrons, the t(p,n)JHe reaction was used, with a Zirconium-Tritium target. The relative cross-sections were taken from Goldberg et al (GASW 61) and the relative efficiency was then matched onto the absolute efficiency determined by the d(d,n)JHe reaction in the range where the neutron energies overlapped. Figure 3 shows the efficiency of the neutron detector as a function of neutron energy. The slow channel, with the discriminator level set at a protonrecoil energy ot 450 kev, accounts for the sharp cut off below 1.0 Mev. As a matter of experimental convenience, the discriminator level was set at the mid-point of the Compton edge of the 661.6kev gamma line from l37cs, with an 18 db attenuator inserted at the input. After the discriminator level was set, the 18 db attenuation was removed. This gave a cut-off energy of 450 kev for proton recoils and 60 kev for gamma rays. The solid curve shown in Figure 3 is a theoretical calculation of the efficiency of the neutron detector, computed from an expression quoted by Dietrich (Die 64), in which multiple scattering and scattering from carbon 11 in the scintillator are neglected. The precision of the relative efficiency of the detector above 1 Mev was taken to be ±5%, and an overall error of 10% was assumed for the absolute efficiency. 3. Gamma Ray Detection (i) Gamma Ray Detector The gamma rays were detected by a 12.7 cm diameter, 10.2 cm thick, NaI(Tl) crystal mounted on a fast 12.7 cm diameter photo-multiplier (RCA C70133B). The NaI(Tl) crystal was optically coupled to the photo-multiplier through a short light pipe (RCA AJ2142). The detector was surrounded by a lead cylinder 5 cm thick to reduce background from cosmic rays and from the walls of the room. (ii) Electronics Figure 4 shows the block diagram of the electronic circuits used in the gamma ray detection system. A fast, negative, timing signal from the anode of the photo-multiplier was fed into the 'START' input of an Ortec (model 437) time-to-amplitude converter (later referred to as yTAC) whose input discriminator was set at -250 mv. The 'STOP' signal for the yTAC came from 12 the same fast discriminator that supplied 'STOP' signals for the NTAC. The output of the yTAC was inspected by two single channel analysers with identical window width. One of the single channel analysers was set to bracket the prompt gamma peak in the yTAC spectrum, and the other, at the flat portion of the yTAC spectrum. The outputs of these two single-channel analysers were then used to route events into the two halves of a 400 channel pulse height analyser. A linear signal was taken from the eleventh dynode of the photo~multiplier, amplified, shaped and fed to a 400 channel pulse height analyser in such a manner that the gamma spectrum associated with the beam plus background was stored in channels O to 199, while the gamma spectrum associated with the background alone was stored in channels 200 to 399. (iii) Gamma Counter Efficiency Suppose the angular distribution of the gamma radiation is isotropic, i.e. W( e) = a0 , the photo-peak efficiency, ey(r), of the NaI(Tl) crystal at a distance r away from the source is defined 13 to be e: ( r) y where = liU:l 4'fl'a B2 0 N(r) = number of gamma rays detected within the photo-peak. The total efficiency of the NaI (Tl) crystal can be calculated from the expression e: t ( E , r) = l2 J [ 1 - e -u ( E) .t ( r' e) ] sine de Vol BJ where u(E) = linear absorption coefficient of gamma rays of energy E in NaI(Tl), .t(r,e) =path length of gamma ray in NaI(Tl), and the integration is done over the volume of the crystal. The photo-peak to total ratio, R(E), of the 12.7 cm diameter x 10.2 cm NaI(Tl) crystal has been measured as a function of energy by Lin (Lin 65), and the photopeak efficiency is then given by R(E)et(E,r). The photo-peak efficiency of the NaI(Tl) crystal for detecting 4.2 Mev gamma ray was measured by detecting the 4.439 Mev gamma ray in coincidence with the neutrons from the reaction 9Be(cr,ny) 12 c. The NaI(Tl) crystal was placed in exactly the same position as in the 21 Ne(a,n) 24Mg experiment, and the neutron counter was 14 placed at 30° to the beam, at a distance of 200 cm from the gas cell. The target was a thin self-supporting 9Be foil, and was placed consecutively at the entrance, middle and the rear of the gas cell. The photo-peak efficiencies measured in these three cases differed by less than J%, and the average was then taken to be the photo-peak efficiency of the NaI{Tl) crystal for detecting 4.2J Mev gamma rays. The photo-peak efficiency for detecting 1.37 Mev and 2.8 Mev gamma rays was obtained by means of 60 co and ThC" sources. The absolute efficiencies at 20 cm, 25 cm and 28 cm distance were obtained with sources of known strength. Then, with weaker sources, the relative efficiencies over the range 2 cm to 28 cm were obtained, and normalized to the absolute efficiencies at 20cm, 25 cm and 28 cm. Table 1 lists the photo-peak efficiencies of the NaI(Tl) crystal at J.47 cm, together with the calculated values, which are about 20% higher than the experimental values. The difference between the calculated values and the experimental values may be due to the followings a. The absorption by the approximately J/32" of MgO reflector and 1/32" of Al wall in which the crystal was packed has not been taken into account, and 15 this causes approximately 6 % attenuation at the photo-peak, b. The photo-peak to . total ratio does, indeed, decrease by about 5% as the distance is changed from 10 cm to 2 cm, and c. The absorption by the 0.08 cm stainless steel wall of the gas cell has not been taken into account, and this may cause another 3% attenuation. 4. Target and Gas Cell The neon gas used in this experiment was prepared by the Mound Laboratory of the Monsanto Research Corporation, and had a gross composition of more than 99.9 mol % of neon with an isotopic composition of 19.5 mol % of 20 Ne, 50.9 mol % of 21 Ne, and 29.6 mol % of 22 Ne. The gas cell, 1.59 cm long and 1.54 cm in diameter, had a 0.08 cm thick stainless steel wall and was lined with 1 mil tantalum on the inside. The gas cell was electrically insulated from ground so that it could be used as a Faraday cup for integration of the beam current. A 0.)18 cm diameter collimator, at a distance of 12.7 cm before the window, was optically lined up with the gas cell, in such a way that no beam could strike the edge of the foil window and give erroneous beam 16 integration. The position and size of the beam spot were checked with a dummy gas cell whose end wall was replaced by a piece of quartz. Figure 5 shows the construction of the gas cell. The thickness of the Ni foil was measured by observing the energy lost by 2.320 Mev a.-particles in passing through the foil. Figure 6a shows the spectrum obtained by a magnetic spectrometer when the entrance aperture of the spectrometer was first covered by the Ni foil, and then with the foil removed, The energy loss was fo\llld to be J84 : 10 kev, corresponding to a foil thickness of 0.584: 0.06 mgm/cm 2 • The thickness of the foil was further checked by observing the shift of the l9F(p,a.y) 16o resonance at 873 kev, and this gave a result of 0,578: 0.06 mgm/cm 2 • Figure 6b shows the excitation function of the 19 F(p,a.y} 16 o reaction. Each incident energy was then corrected for the energy loss in the Ni foil by assuming a foil thickness of 0.584 mgm/cm 2 • The range table compiled by Williamson et al (WBP 66) was used for the calculation · of energy losses. The gas pressure inside the cell was measured by a mercury manometer, and was kept at approximately 50 mm of Hg. 17 The straggling of the beam in passing through the Ni foil was estimated to be 46 kev from Figure 6a. The gas introduced another 14 kev spread in beam energy, giving a total beam resolution of 48 kev. The beam energy from the accelerator was known to within 10 kev, after it was analysed by a 90° magneti c deflection. However, the Ni foil introduced an additional uncertainty of 20 kev. Thus the center-of- mass incident energy was known to 19 kev, and had a resolution of 41 kev. 18 C. EXPERIMENTAL METHOD Figure 7 shows the energy level diagram of 24Mg taken from Endt and Van der Leun (EL 67). The neutron groups feeding the ground state and first excited state of 24Mg in the reaction 21Ne(a,n) 24 Mg could be detected with the proton recoil scintillator, but the neutron groups from the second and third excited states had too low an energy to be detected efficiently this way, Moreover, the low energy neutrGn groups could not be resolved reliably from the neutron groups generated by the reaction 22Ne(a,n) 25Mg on the 22Ne present in the gas target. The gamma rays emitted by the de-excitation of the second and third excited states of 24Mg were used to calculate the total cross-section for these states. 1. Neutron Detection Figure 8 shows a neutron time-of-flight spectrum at E = 2.36 Mev, with the neutron detector at 76 cm from the target and at an angle of 25°. The neutron groups from the reaction 21 Ne(a,n) 24Mg are labelled n 0 , n 1 and n , while the neutron groups from the reaction 3 22Ne(a,n) 25Mg are labelled with the residual nuclei. The n 0 and n 1 groups cannot be resolved, but they could be separated from the neutron groups generated by the 19 22Ne(a,n) 2 5Mg reaction. The distance of the neutron detector was chosen in such a way that the n 0 and n 1 groups were resolved from the neutron groups from 2 5Mg throughout the experiment. Neutron-production differential cross-sections were measured at elab = 250 , 55 0 , 75 0 , 95 0 , 1150 and 135° for each bombarding energy, and the angular distributions were fitted by Legendre Polynomials up to order 3 or 4. ~ dt1 = M dn = 3 ~ i=O a 1Pi(cose) Cl biPi(cose) C2 4 E i=O The total cross-section was then obtained by integrating equation Cl or equation C2 over angle, depending on the x2 of the fits. Since, in this experiment, the neutron group n 0 was not resolved from the neutron group n 1 , the choice of an appropriate neutron efficiency for calculating the differential cross-section became a problem. However, in the energy range of the present experiment, the contribution from n 1 was always much larger than that from n 0 except at low energies as can be seen f rom Figure 8. Thus the neutron yield was calculated by assuming the whole peak to be produced by the n 1 group. 20 The n 0 and n 1 groups do not differ in energy by The efficiency curve of Figure 3 more than 1.4 Mev. indicates that the maximum error which could be introduced by assuming that the observed neutron group was all n1 is about 10% , since the efficiency does not vary by more than 10% for a 1.4 Mev change in neutron energy, in the range 2.0 Mev to 5.5 Mev~ Since the n group 1 is stronger than the n 0 group in this experiment, the error is estimated to be 5% or less. 2. Gamma Ray Detection Figure 7 shows the energy level diagram of 24 Mg and the branching ratios of the gamma transitions from the excited states. The NaI(Tl) crystal coUld not resolve the 1.37 Mev and the 2.86 Mev gamma rays generated by the reaction 21 Ne(a,n) 24Mg * from the 1.461 Mev ( 40 K) and 2.61 Mev (ThC" ) gamma rays in the room background. In order to extract the yield of the 1.)6 Mev and 2.86 Mev gamma rays, the pulsed beam and time-of-flight technique was used. The gamma time-of-flight spectrum is shown in Figure 9. The background gamma rays occur at random times with respect to the 'STOP' pulses for the yTAC, and hence give a flat background in the time-of-flight spectrum, while the gamma rays associated in time with 21 the beam bursts yield the so-called prompt gamma peak. Two single channel analysers, one accepting the prompt gamma peak (denoted as the 'TRUE' single channel) and the other accepting a known portion of the flat background (denoted as the 'RANDOM' single channel analyser), were used to route the linear gamma ray pulses into the two halves of a 400-channel pulse height analyser. Figure 10 shows the two sets of gamma spectra obtained. The width of the counting windows of the two single channel analysers were set to be as nearly identical as possible with a l37cs source, which, of course, gave a flat (random) time spectrum. The linear gamma ray signals from the l37cs sources were routed by the two single channel analysers into the two halves of the multi-channel analyser, and the windows of the single channel analysers were adjusted until the number of counts within the photo peak of the 661.6 kev line in the two spectra agreed to within 1% The width of the windows were checked frequently throughout the experiment, and were always found to be equal to within 2%. Suppose the branching ratio of the 4.23 Mev state is BR1 to the 1.37 Mev state and (l-BR1 ) to the ground state, and that of the 4.12 Mev state is BR 2 to the 22 1.37 Mev state and (l-BR 2 ) to the ground state. The NaI(Tl) crystal could not resolve a 4.23 Mev gamma ray from a 4.12 Mev gamma ray ( this pair later denoted by 4.2 Mev gamma ray), and a 2.86 Mev gamma ray from a 2.75 Mev gamma ray ( this pair later denoted by If a(n 2 ) and a(n ), a(2.8) and 3 a(4.2) represent the cross-sections for producing the 2.8 Mev gamma ray). 4.12 Mev level, the 4.23 Mev level, a 2.8 Mev gamma ray and a 4.2 Mev gamma ray, then , and Thus a(4.2) + a(2.8) = a(n 2 ) + a(n 3 ) • The 1.37 Mev gamma ray produced in the 21 Ne(a,n) 24 Mg reaction could not be resolved from the l.J6 Mev gamma ray emmited by the inelastic scattering of a-particles on 21 Ne. However, since r a « r n , the 1. 37 Mev gamma ray can still be used as a good check on the crosssection for producing the 1.37 Mev level obtained from the neutron detection method. In the present experiment, all the gamma transi t ions were either E2 or Ml, or a coherent combination of these rnultipolarities. It therefore follows that the angular distributions must be of the form 23 = a 0 + a 2P 2 (cose) + a 4P4 (cose) W(e) CJ For a detector of finite size, the angular distributions are then given by the equation W(E,r,e) where r = = distance between the target and the front surface of the NaI(Tl) crystal, E = energy of the gamma ray, and J 1 (E,r) = J P (cose) {1-e-u(E).t(r,e)} sin0d9 Vol L C5 with P1 (cose) = Legendre Polynomial of order L, .d r,e) = gamma ray path in NaI (Tl) crystal, and u(E) = linear absorption coefficient for gamma rays of energy E in NaI(Tl). In this experiment, only the photo peaks were used for calculating the gamma yield. Under these circumstances the equation for JL(E,r) should be re-defined as KL(E,r) = JVolPL(cos0)T(E,r,e) {1-e-u(E).t(r,e)} s i n0d0 c6 24 where T(E,r,0) = probability for the absorbed gamma ray to lose all its energy to the NaI(Tl) crystal. Peak-to-total ratios have been measured for NaI(Tl) crystals of different sizes at various distances and for different gamma ray energies (MY 68). results of such measurements indicate The that to within 5%, the peak-to-total ratio is independent of distance r. Therefore, KL(E,r) can be re-written as K (E r) - T(E) L ' - J VolPL (cose) {1-e-u(E).t(r,e)} sin0d0 C? and the ratio KL/K 0 is the same as JL/J 0 defined by equation CJ. Hence equation C2 can be used to describe the angular distributions of the gamma rays, whether the total counts or just the photo peak is used. The angular distributions of the 1.37 Mev, 2.8 Mev and 4. 2 Mev gamma rays, with the NaI(Tl) crystals 25.8 cm away from the center of the gas cell, are shown in Figures 11,12 and 13. The measured relative angular distributions were found to be fitted by the expressions w( 1 . 37 , r, e) + 0.065 J4(l.J?,r) P (cos0) 4 J (1.37,r) 0 C8 25 w(2.76,r,e) W(4.2J,r,e) For the 12.7 cm diameter x 10.2 cm NaI(Tl) crystal used in the present experiment, integrating equation C5 over the angle gives the following valuesi J4(l.J7,J.5cm) P (cos55:0 ) = -0.0004 4 J (1.J7,J.5cm) 0 Thus, to simplify calculations, the NaI(Tl) crystal was placed at 3.5 cm from the center of the gas cell and at an angle 55°. The second and third tenns of equations CS, C9 and ClO are then small compared with 26 the first term and can be ignored. The following equation is used in calculating the cross-section, N {RT • 1 • q • 1 } = €y (J p~ N0 Q x where N ~ total number of gamma ray detected, € y= efficiency of the NaI (Tl) crystal as defined by equation B2, R0 = gas constant, P = pressure of neon gas, = length of gas cell, T = temperature of the gas, L N0 = Avogadro's number, = total charge collected, q = charge of an electron, and Q x = isotopic. concentration of 21 Ne gas. 27 D. 1. RESULT Neutron Angular Distribution 22 angular distributions of the unresolved n 0 +n1 group were obtained covering the energy range 1.55 Mev ~ ~ 2.57 Mev in 60 kev steps. For most of the angular distributions, differential cross-sections were measured at ecm= 27°, 58°, 78°, 99°, 119°, and 138°. At E= 1.49 Mev, because of the low cross-section, only one differential cross-section at e 0 m= 90° was measured. Table 2 lists the angular distributions for the n 0 +n1 groups. In most cases, the angular distributions could be fitted equally well with a sum of Legendre Polyn.anials of the form ~ = a 0 + ~P 1 ( cose) + a 2P 2 ( cose) + a 3P3 ( cose) Dl or + b 2P 2 ( cose) + b P ccose) 3 3 D2 Figure 15 shows the angular distributions of the n 0 +n1 group, at E= 1.65 Mev, 1.82 Mev, 2.03 Mev and 2.36 Mev. 28 2, Neutron Cross-sections The cross-section for producing the ground state or the first excited state of 24Mg were calculated by integrating equations Dl and D2 over angles, giving , and DJ D4 In most cases, the ratio of aofb 0 differs from unity by less than 1%, and in no case was the ratio more than 6% different from unity, The average of a 0 and b 0 was therefore used to obtain the cross-section, i.e. = D.5 The uncertainty in the absolute value of a(n 0 + n 1 ) was estimated to be 15% for the data taken at the high energies, and 20% for the two lowest energies. The excitation function of a(n 0 + n 1 ) is listed in table 3. The yield is a very smooth function of energy, except for a sharp resonance at E ~ 1.93 Mev, about 70 kev wide. J. Gamma Ray Cross-section The excitation function of a(4.2 Mev), the cross- 29 section for producing either the 4.23 Mev or 4.02 Mev gamma rays, is listed in table 4. The function has the same general structure as that of a(n 0 + n 1 ). Since the 4.12 Mev state has been shown to have a 100% decay to the 1,37 Mev state (EL 67), there should be no 4.12 Mev gamma rays. The Q-value for the reaction 21 Ne(a,n) 24Mg(4.23) is 1.68 Mev, and this accounts for the sharp decrease in yield at the low energies. The 4.23 Mev state has a branching ratio of 75% to the ground state and 25% to the 1.37 Mev state. Thus the excitation function of cr(4.2 Mev) can be interpreted as the excitation function of the reaction 21 Ne(a,n) 24Mg(4.23) if the yields are multiplied by a factor of 1.333, The main uncertainty in this measurement arises from the uncertainty in the distance between the NaI(Tl) crystal and the target, and is estimated to be 15%. The excitation of a(2,8 Mev), the cross-section for producing 2,75 Mev and 2.86 Mev gamma rays, is listed in table 4. This function is also quite similar to that of a(n 0 + n ), The contribution from the 1 4.23 Mev level cascading through the 1,37 Mev level can be estimated from the known branching ratio and a(4.2 Mev), and then subtracted awa:y to give the cross-section for the reaction 21 Ne(~,n) 24 Mg(4.12). JO The uncertainty in this measurement is dominated by the large background subtraction, and the distance between the detector and the center of the gas cell. The overall error was estimated to be 20%. The excitation function for o(l.J7 Mev), the cross-section for producing 1.37 Mev gamma rays, is listed in table 4. While both the 4.12 Mev level and the 4.23 Mev cascade through the 1.37 Mev level, their contribution to o(l.J7 Mev) is small due to the fact that o(n ) and o(n 4 ) are an order of magnitude smaller 3 than o(n1 ). The cross-section o(l.37 Mev) should serve as a cross check for the relative efficiencies of the gamma detector and the neutron detector. From the discussion of the previous paragraph, a(l.J7 Mev) should be approximately equal to a(n 0 + n 1 ), the o(n 2 ) - 0.25o(n ). 3 A comparison of tables 3 and 4 indicates that o(n + n 0 ) 1 is larger than o(l.J7 Mev) by about 20%, which can difference being equal to o(n 0 ) - be satisfactorily accounted for by o(n 0 ) - o(n 2 ) - 0.25c;(n ). 3 The main uncertainty in 0(1.37 Mev) arises from the distance from the detector to center of the gas cell, and is estimated to be 15%. 31 4. Total Cross-section The total cross-section for the reaction 21Ne(cx,n) 24 Mg was obtained by summing a(n + n ), 0 1 a(4.2 Mev) and a(2.8 Mev). The combined excitation function is shown in Figure 15 and listed in table 5. Since both a(4.2 Mev) and a(2.8 Mev) are small compared with a(n 0 + n 1 ), the uncertainty in the total cross-section is essentially the same as that in a( n 0 + n 1 ) , i . e • 15%. 5. Analysis The excitation curve can be treated as a single sharp resonance superimposed on a smooth background. The smooth background can be parametrized by an approximation used by Fowler and Hoyle (FH 64) L aB = E .t=o where at = 2m with D 06 C1 J, 2 (2t+l) {ri{n} r D J, = level spacing of states with same spin and parity, r = partial width of the ex-channel, rn = partial width of the n-channel, Cl D7 32 r = L = highest partial wave that contributes total width of the compound nucleus state, significantly to the reaction, i = E = A ~) fermi, beam energy in center-of-mass system, in Mev, = mass of incident particle, in AMU, and mass of target nucleus, in AMU. Vogt (Vog 62) derived an optical model expression for the ratio D8 = where D9 p .t = penetration factor as defined later in equation El, ~o = 11 (2AV )i 0 V0 = depth of the real interaction potential used in the optical model, which has been chosen 33 to be 75 Mev in this analysis to be consistent with the analysis of Michaud, Scherkand Vogt (MSV 70), and a = a quantity resulting from the averaging of the optical model (expected to be of order of unity), Since V0 ~ 75 Mev, and E ~ 2 Mev, ~ is much larger than -X 0 , and TJ, can be approximated by DlO Thus we obtain r Dll _a. D Equation D6 can then be converted into the form Dl2 = D13 In fitting the data points, all the various aJ, ' s are assumed to be the same, Then, substituting aJ, into equation D5, together with all the appropriate n wne ri cal values 34 = ~ { ~~n} {po + 3Pl + 5P 2 + 7P3} mb "B Dl4 where E is in Mev. To include the sharp resonance at 1.93 Mev, we add a . single-resonance of the form Dl5 Assuming thats r r,n ~ rr = the resonance contribution can be re-written as Dl6 Thus the cross-section should be given by the equation = + 35 Dl7 2 J,' r and E are in Mev. va., r r where E, 2 The values for (~rrJI'), rr, Ya.,l' 1, Er and the nuclear radius R were varied to obtain the best fit. 2 However, it was found that for minimum x , R = 4. 70 fm and Michaud, Scherk and Vogt (MSV 70) suggested the following equation for estimating the interaction radius between a.-particles and target nuclei if a square well optical potential is to be used to calculate the penetration factors, R = 1.6 + 1.25 ~/3+ AR Dl8 where AT = mass number of the target nucleus, and ~R = correction to R which is approximately 0.74 fm in this case. Thus R is expected to be approximately 5.8 fm for the reaction 21 Ne(a.,n) 24 Mg, instead of the value 4.7 fm found by minimizing x2 • Fowler and Hoyle (FH 64) have estimated ~ to be 36 in the range J;;i:a;;i:o.2, Dl9 and, since rn ~ r, (arrJ'r) was estimated to lie between 3 and 0.2. The interaction radius R was varied from 5.0 to 6.6 fm, and the value for . . arn /r was varied to obtain best fit, while rr' Y~,t , t and Er were kept constant. Table 6 lists the different sets of parameters obtained together with their x2 (16 degrees of freedom). 37 E. CONCLUSION Since the sharp resonance at 1.93 Mev does not contribute significantly at energies far away from the resonance, only the smooth backgrolllld is used in extrapolating the cross section factor S(E) to low energy. In the case of square well optical potentials, the penetration factor at low energy, E <: Coulomb energy, can be approximated by (FH 64) J.. p .t ~ where rtr exp{-~(~) ER Ec = = = x - _!±L + 2x JERx 4t(!'"ll} El 112 E2 2MR 2 z1 z2e 2 R E x i and E3 i 2(~) E4 ER Michaud, Scherk and Vogt (MSV 70) suggested that the penetration factor calculated from square well potentials are too small, due to the large reflection coefficients resulting from the sharp edge. They compared the absorption cross-sections for diffuseedge potentials with those for square wells, and gave 38 the following prescription for constructing equivalent square wells. The radius, R, of the square well should be increased by an amount 6R and the {square well) penetration factor calculated for R + 8R increased by a factor f > 1. should be Both AR and f are plotted as a function of the mass number of the target nucleus and for various kinds of incident particles in their paper ( MSV 70) • From the definition of S(E), S(E) = Ea(E) exp(2~~> E5 = where Substituting aB(E) E6 for a(E), S(E) becomes • { P0 + 3P l + .5P 2 + 7P J } mb-Mev = 151.J(Ec) .i.2 f { ~rrn} exp { - 43 lxER + 2x} 8 + 5exp(- 24) +?exp(--) 48 } · { l+Jexp(- -) x x x mb-Mev E7 Substituting the appropriate numerical values of 39 Ec ' ER and x, S(E) can be expressed in the forms S(E) where g( R) = G( R) exp(-g(R)E) mb-Mev EB = 0.0498/RJ/2 E9 Mev-l = 8.12 x 10 2 exp(8.607R~)( G(R) f3rn r )f · { 1 + Jexp(- ~) + 5exp(+ 7exp(- ~)} 2iif > ElO mb-Mev with R in fm and E in Mev. Table 6 lists the values of G(R) and g(R) for various values of R and (f3rn/r) , and Figure 16 shows a calculated S(E) function superimposed on the data points. Alternatively, the experimental S(E) function could also be fitted with the form Ell where A0 and A1 are treated as free parameters. The data points at 1.92 Mev and 1.98 Mev are not included in this fitting procedure. For a minimum x2 , the fit gives = S(O) = 1. 7 mb Mev , and 4o = -0.597 Mev- 1 From equation E7, the radius can be calculated from A1 and is found to be 5.2 fm. Figure 16 shows the fit to the experimental data points. The estimated value for S(O) does not include any effect from possible low energy resonances. The total neutron cross-section of magnesium shows strong resonance structure around En ~ 2.65 Mev (SGMW 64) which is right in the stellar thermal region of the reaction 21 Ne(a,n) 24Mg. If any of these resonances should have a large reduced a-particle width, the value for S(O) would be increased by a large factor. The value of S(O) varies from 1.52 x io 12 mb-Mev to 2. 67 x 10 12 mb-Mev in the range 5. 2 fm ~ R+ '1R ~ 6.5 fm. Thus the cross-section factor, S(O), is determined by the experimental data to be in the neighbourhood of 2 x io 12 mb-Mev and is not too sensitive to the radius parameter. In order to obtain a more precise value for S(O), a measurement over a wider energy range, where the effects of g(R) is more pronounced, would be needed. Reeves (Ree 66) made an optical model calculation and obtained the values g( R) = and 41 G( R) = S(O) = 2.45 x 10 12 mb Mev , with a radius of 5.05 fm. His value for S(O) agrees remarkably well with the value, S(O) = 2.1 x io 12 mb Mev, obtained from the present experiment for the same choice of g(R). The S(O) predicted by Marion and Fowler is larger than the experimental value by a factor of about 7. Considering the many assumptions which were made by the estimate of Marion and Fowler, this is surprisingly close. With the value of 21 Ne(a,n) 24Mg S(O) ~ 2.0 x 10 12 mb-Mev, the reaction can produce a large enough neutron flux to be a significant astrophysical source of neutrons, provided the conditions indicated by Burbridge et al (BBFH 57) are satisfied, 42 REFERENCES Ade 67 E. Adelberger, Ph.D. thesis, California Institute of Technology (1967). Ade 67a E. Adelberger, Nucl. Inst. and Meth. !fl., 327 (1967). BBFH 57 E.M. Burbridge, G.B. Burbridge, W. A. Fowler, and F. Hoyle, Rev. Mod. Phys. ~. 547 (1957). BF 60 J. E. Brolley and J. L. Fowler, Fast Neutron Physics, ed. ' by J. B. Marion and J. L. Fowler, Interscience, New York, page 73 . (1960). Cam 54 A.G. W. Cameron, Phys. Rev. 2.J., 932 (1954). Cam 60 A. G. Die 64 F. s. Dietrich, Ph.D. ·thesis, California Institute of Technology (1964). EL 67 P. M. Endt and C. Van der Leun, Nucl. Phys. A.l..Q.5., 1 ( 196() . FH 64 w. A. Fowler .and F. Hoyle, Astrophysics J. GASW 61 M. D. Goldberg, J.D. Anderson, J. P. Stoering, and C. Wong, Phys. Rev. l22, 1510 (1961). Gre 54 J. L. Greenstein, Modern Physics for the Engineer (L. N. Ridenour, ed.) McGraw-Hill Book Co. New York (1954). Lin 65 w. K. Lin, Califoxnia Institute of Technology, Private communication. (1965) MF 57 J. B. Marion and w. A. Fowler, Astrophysics MSV 70 G. Michaud, L. Scherk and E. Vogt, Phys. Rev. Cl, 864 ( 1970). MY 68 J. B. Marion and F. c. Young, 'Nucler Reaction Analysis, Graphs and Tables', John Wiley & Sons, Inc. New York, page 53 (1968). w. Cameron, Astron. J • .2..5,, 485 (1960). Supplement AJ., .9 (1964}. J. ~. 221 (1957). 43 McD 70 A. B. McDonald, Ph.D. thesis, California Institute of Technology (1970). Ree 66 H. Reeves, Astrophysics J. 146, 447 (1966). SGMW 64 J. R. Stehn, D. M. Goldberg, B. A. Maguno and R. Wiener-Chasman. 'Neutron Cross-sections ', BNL 325, second edition, Supplement No.2, Brookhaven National Laboratory, Associated Universities, INC. New York (1964). Tan 65 N. Vog 62 E. Vogt, Rev. WBP 66 C. F. Williamson, J. P. Boujot and J. Picard, 'Tables of Range and Stopping Power of Chemical Elements for Charged Particles of Energy 0.05 to· 500 Mev', Report CEA-R3042, Centre D'~tudes Nucleaires De Saclay (1966). w. Tanner, Nucl. Phys • .Ql., 297 (1965). Mo~. Phys. J!t, 723 (1962). 44 Table 1 Photo-peak efficiency at 3,5 cm of the 12.7 cm diameter x 10.2 cm NaI(Tl) crystal. The total efficiency values are obtained from the expression e (E,r) t =t J Vol {1 - e-u(E)t(r,e)) sin0d0 The photo-peak to total ratios for the NaI(Tl) crystal used in this experiment had been measured earlier by Lin (Lin 65), and the uncertainty in the ratios are about 10%. The main source of error in the determination of the gamma-ray yield is the distance, r, and it is estimated to introduce an uncertainty of 15% in the efficiency measurement. 45 y Total eff. in Mev €t E peak-to- calculated experimental total ratio photo-peak photo-peak eff. eff. * 15" 1.37 0.152 o.4o ± io% 0.061± 10% 0.050 2.8 0.130 0. 26 :i: 10% 0. 034 :i: 10% o. 029 ± 15% 4.2 0.12.5 o. 22± 10% 0. 027 :t: 10% 0. 020 ± 15% 46 Table 2 Angular distributions of n 0 + n1 • The differential cross-sections were calculated by assuming that the whole peak was contributed by the n 1 group. This introduced an error of about 5% in the relative magnitudes. The absolute values were estimated to have an uncertainty of 15%. How- ever, for the differential cross-sections at 1.49 Mev and i.55 Mev, the uncertainty is estimated to be 20% due to low count rate and large background. 47 E Mev 1.49 1.55 E M(e cm dn 32° em ) x 10-3 mb/st. 93° 128° 8.5 8.5 14.o ~< 0 cm> x 10 -2 mbI st. 58° 90° 2.96 7.8 cm Mev 27° 58° 78° 99° 119° 138° 1.60 1.65 1.71 1.76 1.82 1.88 1.88 1.92 1.98 2.03 2.09 2.15 2.20 2.26 2.32 2.36 2.41 2.46 2.52 2.57 1. 51 1.67 4.47 7. 30 6.11 7.43 4.47 23.9 22.7 6.97 12.8 18.2 18.9 45.4 75.9 87.9 142. 1.00 1;34 2.94 5.54 5.16 1.39 1.15 2.46 5.16 4.61 7.96 6.01 25.8 20.8 8.96 13.4 19.4 23.2 43.5 59.3 81.7 132. 1.12 1. 65 1.60 1.89 2.41 2.73 4.60 4.70 5.44 4.99 8.50 10.21 5. 60 6. 20 24.6 24.3 23.4 22.5 11.6 9.48 13.6 13.0 17.5 24.1 26.7 37. 7 . 37.8 55.2 45.4 75.0 70.5 121. 115. 60.5 73.3 91.0 109. 158. 189. 2.01 2.67 2.70 4.61 5.62 9.36 6.20 23.7 24.1 13.2 lJ.5 16.5 28.0 35.3 41.6 63.5 103. 56.2 88.0 129. 95.6 160. 179. 7.65 5.70 24.9 18.2 8.36 15.6 15.8 23.0 40. 2 64.7 80.8 126. 81.2 149. 201. 85.7 124. 210. 48 Table J Excitation function of cr(n 0 + n1 ), the ~ummed cross-sections for producing groups n 0 and n 1 . 49 Ecm in Mev 1.49 1.55 l,;60 1.65 1.71 1.76 1.82 l.aa 1.89 1.92 1.96 1.98 2.03 2.09 2.15 2. 20 2.26 2.32 2.36 2.37 2.41 2.46 2.52 2.57 o(n 0 + n 1 ) in mb 0.037 ± 15% 0.10 ± 15% 0.18 :I: 15% 0.22 ± 15% 0.36 ± 15% o.68 ± 15% o.66 ± 15% 1.06 ± 15% 1.28 ± 15% 5,51 ± 15% 5.62 ± 15% 4.84 ± 15% 2.24 ± 15% 2.44 ± 15% 3.07 :I: 15% 2.96 :I: 15% 4.97 :f: 15% 7.07 :f: 15% 9.37 :I: 15% 10.10 :I: 15% 15.30 ± 15% 9. 41 :I: 15% 15.0 :I: 15% 22.1 ± 15% 50 Table 4 Excitation functions for gamma rays production a(l.37) = cross-section for producing 1.37 Mev gamma rays. a(2.8) The error is estimated to be 15%. = cross-section for producing 2.86 Mev and 2.75 Mev gamma rays. The error is estimated to be 20%. a(4.2) = cross-section for producing 4.12 Mev and 4.2J Mev gamma rays. estimated to be 15%. The error is 51 cm 0'(2.8) 11(4.2) cr(l.37) Mev mb mb mb E 1. 55 1. 60 1.65 1. 71 1. 76 1. 82 1. 88 1.88 1.92 1.96 1.98 2.03 2.09 2.15 2.20 2.26 2.32 2.36 2.37 2.41 2.46 2.52 2.57 0.0010 0.0039 0.0057 0. 0240 0.0310 0.0183 0. 0236 0. 206 0.164 0.063 0.140 0.175 0.175 0.271 0.320 o.401 1. 02 0.92 1.99 2. 04 0.0034 0. 0 230 0.0330 0.0374 0.0462 o. 551 0.506 o.456 0.117 0.176 o.435 0. 586 o. 596 0.500 o.844 1.100 2.022 1. 835 1.903 1.640 0.058 0.132 0.146 0.218 o.439 0.506 0.582 0.626 1.94 2.07 1. 33 1. 21 1. 84 1. 59 3. 59 4.59 6.58 10.6 6.32 10.3 14.9 52 Table 5 Excitation function for the reaction 21Ne(a,n)24Mg .53 Ecm in Mev O't in mb 1.49 0.037 * 1.5% L.55 0.100 ± 15% 1.60 0.181 ± 15% 1.65 0.224 ± 15% 1.71 0.369 ± 15% 1.76 0.727 ± 15% 1.82 0.724 ± 15% 1.88 1.12 ± 15% 1.88 1.35 ± 1.5% 1.92 6.27 ± 1.5% 1~98 5.46 ± 15% 2.03 2.42 ± 15% 2~09 2. 76 ± 1.5% 2.15 J.68 ± 15% 2. 20 J. 72 ± 15% 2.26 5.84 ± 15% 2.)2 7.89 ± 15% 2.36 10.6 ± 15% 2.41 18.J ± 15% 2.46 12.2 ± 15% 2 . .52 18.9 ± 15% 2.57 25.8 ± 15% 54 Table 6 Lists of parameters used to fit the crosssection data. The parameters are defined in equations Dl4 and DlJ. f)r~ was range, .3 > f)rn/r > 5.0 fm < R < 6.6 fm. constrained to lie in the O. 2, and R in the range 55 v0 in Mev 75 Mev II II II II II •• II II II II " II " L ~rn r II II II II II II II II II II It II II " " II x2 in fm 3 1.91 1.64 1.98 1. 20 1.04 0.91 0.77 o.66 0.58 " o. 50 o.44 .. 0.38 0.33 o. 29 II R 0.25 5.0 5.1 5.2 5.3 5.4 5.5 5.6 5.7 5.8 5.9 6.o 6.1 6.2 6.J 6.4 6.5 0.22 o. 20 6.6 Er rr J, 2 Ya.,J, 42.3 42.5 42.8 4Jil 4J.6 44.o 44.6 45.0 46.o 46.7 47.5 48.4 49.4 50.5 51.7 52.9 54.3 = 1.94 Mev = 0.07 Mev = 1 = 0.046 Mev G(R) = S(O) g(R) in mb-Mev in Mev-l 1.52 x 10 12 1.56 x 1012 1.62 x 10 12 1.66 x 1012 1.74 x 1012 1.80 x 10 12 1.86 x 1012 1.93 x 1012 2.00 x 1012 2.07 x 10 12 2.15 x 10 12 2:.25 x 10 12 2.31 x 10 12 2. 39 x 1012 2.40 x 10 12 2.56 x io 12 2.67 x 1012 0.557 0.574 0.591 0.608 0.625 o.642 o. 660 0.678 o. 696 0.714 0.732 0.750 0.769 0.788 o. 806 0.825 o.845 Figure 1 Schematic diagram of the beam pulsing system for the ONR-CIT tandem. The chopping slits are shown as vertical slits for clarity only; the beam is actually swept vertically across a horizontal pair of slits. The controls enclosed by the dashed lines are located with the main control for the accelerator. . BEAM PULSING SYSTEM FOR CIT/ONR TANDEM ~~~TutA~i ~'\ JN . ·ADDER JN + +IBUNCHERI+ + CANAL TANDEM NO.I PHASE -----iOETECTING AMPLIFIEci --, r-- -- - - --1 I ELECTRONIC PHASE 1-c · SHIFTER ,I , I I I I I rcUNCHER MPLITUDE CONTROLS MANUAL PHASE SHIFTER M'ANUAL PHASE SHIFTER MASTER OSCILLATOR I 3.51 MHz IL ____________________ J \.}'\ -'1 • r • ' CHOPPING SLITS 58 Figure 2 Block diagram of the electronics used to measure neutron flight time. The commercially available instruments symbolized by the blocks ares 1) Time-to-puJ.se height converter (Ortec model 4J7) 2) Amplifier and discriminator (Ortec models 410 and 420) J) Fast amplifier no. 1 (Hewlett-Packard model 460 BR) 4) Fast amplifier no. 2 (Nanosecond System model 281) 5) Fast discriminator (Nanosecond System model 205 FC) 6) Multi channel puJ.se-height analyser ( RIDL model 34-27) 59 SLOW_ ,,.__ - L/ PICKUP VARIABLE · ~~COIL XP1040 DELAY .__ FAST FAST AMP #I v+ZERO-CROSSING DISCRIMINAl'.OR , 7 FAST AMP #2 _r-L._.J . \J FAST DISCRIMINATOR y- -y--y- START~, vSTOP .------.....::L.TIME - TO-PULSE HEIGHT CONVERTER AMPLIFIER ------------DISCRIMINATOR AMPLIFIER GATE ...- MULTl -CHANNEL ANALYZER J Figure J Neutron detector efficiency curve. The solid dots are data from the d(d,n)JHe reaction and the open triangles are data from the T(p,n)JHe reaction. The solid curve has been computed from an expression quoted by Dietrich (Die 64) which neglects multiple scattering, scattering by the carbon in the scintillator and absorption by material between plastic scintillator and target. O'\ 0 0 m a> ~ -. d 0 . d U> ci . an 0 I I I I I I ' I . •! I ~ I I ~ I I ~ ....I r 7 I 61 I I I ~ /J; r;;~ ........... ,,.,. "'ci ~0103130 0 ~ v. 0 AON3101.:l.:13 (\J q - 00 . c: . ·o> • (!) - c: 0. -.. · -.. -0 J: w 0::: <..') . co 2 J: - ,,.,- q J; "'• ! ' WW q z z ...__ ~ ~ o ::> • lJJ ,v L-· ~ J ' (\J 0 q _o 0 62 Figure 4 Block diagram of the electronics used to measure gamma ray intensities and energies. The commercially available instruments symbolized by the blocks are 1) Amplifier (Ortec model 410) 2) Time-to-pulse height converter (Ortec model 437) 3) Single channel analysers #1 and #2 (Ortec model 420) 4) Routing system (RIDL model 30-35) 5) Multi-charinel analyser (RIDL model 23-4) 63 - -, RCA C70133B ..................... --~~ FROM FAST FAST DISCRIMINATOR IN LINEAR ELECTRONICS NEUTRON START 'STOP 'I TIME-TO- PULSEHEIGHT I t 'f CONV. t SINGLE CH. ANALYSER 1 SINGLE CH. ANALYSER 2 AMP. ROUTING , I ,r MULTI- CH. ANALYSER 64 Figure 5 Schematic drawing of the gas cell. The gas cell is electrically insulated from the beam pipe and the gas supply bottle by means of glass and teflon, respectively, and can be used as a Faraday cup for beam current integration. The nickel foil entrance window is 0.)84 mgm./cm 2 thick. The tantalum collimator, together with a 2.)4 cm diameter canal further up the beam pipe ensure that the beam is incident only on the entrance foil. 65 SUPPRESSOR ELECTRODE -300V TANTALUM LINING NICKEL FOIL +300V A TANTALUM COLLIMATOR B A B MANOMETER TO GAS RESERVOIR E?il STAINLESS STEEL ~TEFLON rnliD GLASS 0 0-RING TO ROUGHING PUMP 66 Figure 6a Alpha particle spectra for determination of the Ni foil thickness and the straggling of the transmitted alpha particle. The peak on the right corresponds to 2.320 Mev a-particles while the one on the left corresponds to the 1.936 Mev a-particles which have passed through the Ni foil, placed in front of the entrance slits of the magnetic spectrometer. The O.J84Mevenergy loss corresponds to a foil 2 of 0.584 ± 0.06 mgm/cm • thickness Figure 6b Excitation functions of the reaction l9F(p,ay) 16o used for an alternative determination of the Ni foil thiclmess. The curve on the left is an excitation function without the Ni foil, while the one on the right is an excitation function with the Ni foil inserted between the target and the beam. The energy loss for 0.947 Mev protons was found to be 0.072 Mev, which gives a foil thickness of 0.578 ± 0.06 mgm/cm 2 • 67 +with Foil 150K Figure 6a ,~,., I I ~ lOOK c ~ '\> No Foil \ i \ \ \ ::l I 0 u p I '' ~ 50K .~, ~ I I I I () '' \ 0 I ~ I I )3 \ 2·2 2·0 1·9 \ \ ~ \ \ (). .P' 0 1·8 I \ \ 2·4 2·3 Ea in Mev ,,tWith Foil Figure 6b No Foil I ~tt SOK I I • I I' I I I , (/) +-' c I ::l 0 u I I 40K I I I I • I I ' I ~ I I • ' '' , • • I I I 0 0·86 ' ' ' \ • \ \ • \ ~ \ \ ~ I \ ._ ,,, " \ I ~ \ ,, , • I ~ ' 'e ' 0·88 0·94 0·96 Ep in Mev 0·98 68 Figure 7 Energy level diagram of 24Mg (EL 67) 69 4.123 4.23 2+ 4+ 75 25 2.557 21 Ne+a -n 1.369 1~ 0.0 I 24Mg 2+ ,- o+ Figure 8 Neutron time-of-flight spectrum at E = 2.36 Mev, with the detector 76 cm away from the target and at an angle of 25°. nanosecond per channel. The time calibration is about 1 The n 0 and n1 groups cannot be resolved any more, but they can still be separated from the neutron groups from 22 Ne(~,n) 2 5Mg. ""'0 n,. Neutron Time-of -Flight Spectrum at Ecm = 2.36 MeV, Blab = 25° 600 • y • i • 400 j1 (/) ~ Neutron from z 22Ne (a,n) 25Mg :::> j ·~ o --J ...... ~· " ,., I . 0 u 13 t 200 .""'°•••..,_._ . ... • 0 • I , • • \ l·l\/ . . . . . ..·i\.! ·v - ... t' 1·1 . . . ...,"" ·'·.~J •.t.~v,.,,._•-.•-:•u•.., •• - • • I 40 • • T· • •• ~ I 80 I I 120 CHANNEL NUMBER \ .j. .\ I ._,,- I 160 • . ~ '\~........,,~. - • I • • 200 Figure 9 Gamma ray time-of-flight spectrum with the Na!(Tl) crystal at a distance of 3,5 cm from the center of the gas cell, and at an angle of 55°, Gamma rays from the walls of the room and from cosmic radiation give the flat background, while gamma rays associated with the beam bursts constitute the prompt gamma peak. The region between the 2 arrows on the left indicates the window of the 'TRUE' single channel analyser, while the region between the 2 arrows on the right indicates the window of the 'RANDOM' single channel analyser. --J I\) Gamma Roy Time-of-Flight Spectrum 24K .\ "True II • • r /I -i Window 20K i . .... ~ 16K z'.:) 0 U ~ •• I I• • • • 12K SK 4K .. 20 • • •• y• ,...._.........,._ _,,..._,. 0 --.:> \,,.) 40 60 CHANNEL NUMBER 11 11 Random Window r + 80 100 74 Figure 10 Gamma ray spectra obtained at Ecm= 2.1 Mev, e = 55° and J.5 cm from the target. a) Gamma ray spectrum gated by the routing pulses from the 'TRUE' single channel analyser. The gamma rays arising from the de·c ay of excited states of 21 Ne* are labelled by their energies, while the positions of room background gamma rays are indicated by underlined energies, b) Gamma ray spectra gated on by the routing pulses from the 'RANDOM' single channel analyser. The 1.461 Mev line is from 4°K and the 2.61 Mev line is from ThC" in the concrete wall. 75 Gamma Rays Associated Ecm= 2.10 MeV 2.61 MeV 1.37 MeV 0 16000 0 1 0 1.46 MeV cP>«\ i + of 2.8 MeV A;: 8000 0 0 0 0 ~ ""'.._......,.,.".. · -~ • x 1/10 0 0 ~ With Beam Burst 60 20 • 4.2 MeV 3.69 MeV + •• + 100 140 • \ 180 2400--~--~--~--.~~--~---~--.-~--r--~-r-~~ Background Gamma Rays r-46 MeV • • 1600 •• , • • 800 • • • • • .,., • .• 2.61 MeV • • •~ 20 ~ • 60 100 140 CHANNEL NUMBER 180 Figure 11 Angular distribution of the 1.37 Mev gamma rays from the reaction 21 Ne( a ,n) 24Mg. The dashed curve is a least-squares Legendre-Polynomial fit, W( 0) where JL is defined by equation C5. 77 5 ANGULAR DISTRIBUTION OF 1•37 MEV Y-RAYS 4 :::iii:: . . -.- -• -- -=- - - - - - ...- 0 0 .- 3 c (/) ----·-------- c ::J 0 u 2 1 Q ___...____...____ .____. ___...._____.i_o___ .____.._ o ___. ~ o 0 20° 40° 60 8cm 80 78 Figure 12 Angular distribution of the 2.86 Mev gamma rays from the 21 Ne(a,n) 24Mg reaction. The dashed curve is a least-squares Legendre-Polynomial fit to the data points, W(9) where JL is defined by equation C5. 79 10 7·5 ANGULAR DISTRIBUTION OF 2•86 MEV l• . --t,,, l Y-RAYS 1' ,1l ' .l l l '1- - -!- - -1• l 0 0 .- c ·- CJ) 5 c ::J 0 u 2·5 0 ________.....,.__......__...___..._________________ 0° 20° 60° 40° 8cm 80° 80 Figure 13 Angular distribution of the 4.2 Mev gamma rays from the reaction 21 Ne(a,n) 24Mg. The dashedcurve is a least-squares Legendre-Polynomial fit, W( e) ~ = 9.02 + 2.67 J 0 J4 P 2 (cos0) + 0.186 y-- P4 (co s e) where JL is defined by equation C5. 0 81 25K .....--...---....----.--------------------------- ANGULAR 20K Cf) 1- OF THE DISTRIBUTION 4•23 Mev Y-RAYS 15K z ::J 0 T u W ! - T jf-- . . . --. --. """' 10K T '~, . . . ,.,T. I .r- ........ J•'--T ~s:- .. l l. 5K 20° 40° Scm 60° 80° 82 Figure 14 Angular distributions of (n 0 + n1 ) groups from the reaction 21Ne(a,n) 24Mg. E cm o = 2.36 Mev ECl'l'l = 2.08 Mev Ecm= 1.82 Mev • The curves are fits with Legendre-Polynomials up to order J. Table 2 lists the angular distributions of the (n 0 + n 1 ) groups in the energy range 1.49 Mev ~ E ~ 2.57 Mev. cni~ 83 lOr--r---.--.---1·0 -- - - - - - - )( -!- - ....-- - - - x ---- .01....,' E Cl) ......__.. bl 3 "C "C ~ - -__ o,. ----- _.... ---- - - - ... -- ~~ ~ a- ~- -..t. -~ ~ -ii!' 120° 84 Figure 15 Excitation function for the reaction 21 Ne(a,n) 24Mg. The solid curve is a theoretical calculation using formula Dl6 in the text, and the following values for the parameterss R = 6. 0 fm, ~ri/I' Ey = o.435, = 1.93 Mev, ry = 0.07 Mev, = 1, J, 2 Ya' t = 0.046 Mev. 85 Excitation Function of the 21 24 Ne (a,n) Mg Reaction 10.0 ..--.. .0 1.0 E b 0.1 O.Ol-------~------~--------- 1.4 1.8 2.2 Ecm (MeV) 2.6 86 Figure 16 Cross-section factor S(E) The solid curve is a calcUlation using equation EB with R = 6.0 fm and srn/r = 0.435, The dashed line is a least-squares fit of the experiment S(E) data, . excluding the two points at 1.92 Mev and 1.98 Mev, using equation Dll. I > Q) I 2 I s 10 .0 12 I c 0 +-' (.) Q) (j) I (j) (j) 0 ~ 0 I 11 10 I -- 88 PART II A Study of the Reaction 12c(3He,p)l4N 89 A. INTRODUCTION Direct reactions have long been used to extract information about nuclear structure, From the angular distributions, the angularmomentum transfers can be determined, and, with the selection rules, the spins and parities of the nuclear states involved can be obtained or, at least, restricted to a narrow range of possible values. From the strength of a particulartransition, the spectroscopic factor can be obtaineds this quantity identifies the specific configuration of the nuclear state involved. It is generally assumed that the differential crosssection for a direct transfer reaction can be written in the factorized form ~ = RLSJ E 5LsJ aLSJ where R is a statistical factor involving the spin and isospin of the nuclear states, 5LSJ is the spectroscopic factor, which includes the overlap between the initial and the final states and contains the detailed nuclear structure information, and aLSJ is a kinematic factor which contains the energy and angle dependence. In order to facilitate computations, a number of simplifications are generally made in applying the direct 90 transfer theory to calcuJ.ate the kinematic factor O'LSJ" In most cases it appears that the spins and parities can be deduced rather well (Hen 69, Ade 67). There remains the important question of how accurately the spectroscopic factor can be extracted from the experimental data. (AM 70, Bar 69). A major difficuJ.ty in extracting the spectroscopic factor is caused by the uncertainties introduced in simplifying the calcuJ.ation. Recently a lot of theoretical work has been carried out to improve the approximations but, due to the complexity of the problem, it is not obvio.us that these improvements have significantly increased the accuracy of extracting spec~roscopic factors. Another d.ifficuJ.ty lies in determining the magnitude of the contributions from compound nucleus formation, which may have a strong energy dependence. In many cases, direct transfer reaction theory has been used to interpret reactions at isolated energies, and parameters have been adjusted freely to fit the data. It is rather doubtful that the spectroscopic factor so obtained can be very significant. It is essential to establish the nature of the reaction mechanism first by studying the reaction systematically through a reasonable energy range. If the reaction changes smoothly with energy, direct reaction theory can then be applied to obtain spectroscopic 91 information, with a little more confidence. In the present experiment, the 12 c(3He,p) 14N reaction was studied over the energy range ~ 12 Mev Elab ~ 18 Mev. This reaction was chosen because the first excited state in 12 c has an excitation energy of 4.439 Mev; hence the problem of core excitation should not be as important as in cases where the target nucleus has low-lying levels. (However, there is a large electromagnetic matrix element between the ground state and first excited state of 12 c; thus one should be wary of the assumption that no core excitation is involved.) In addition the energy levels of 14N below 6 Mev excitation are at least partially understood, and several theoretical calculations for the wave functions of 14N are available (Tru 63, CK 65, WP 60, TU 60, GFGH 66). This reaction has been studied by several workerss Hinds and Middleton (HM 60) at several energies below 10 Mev, Holbrow et al. (HMPB 66) and Priest et al. (PTB 60) at 14.o Mev, and Mangelson (Man 67) at 20.l Mev. The aim of the present work is to examine whether two-nucleon transfer theory can be applied to interpret the reaction 12 c(3He,p) 14N in a meaningful way or not, by systematically studying the reaction in the energy range 12 Mev ~ Elab' 18 Mev in 0.5 Mev steps. The two-nucleon stripping formalism of Glendenning 92 (Gle 65) was used to interpret the results. The computer code 'JULIE' compiled by Bassel et al. (BDS 67), which is based on the zero-range and local potential approximations, was used to facilitate the computation. 93 B. EXPERIMENTAL METHOD 1. 3He Beam The ONR-CIT tandem accelerator was used to provide a doubly-charged 3He beam for this experiment. The beam energy, selected by a 90° momentum-analysing magnet, has a resolution of approximately one part per thousand. The beam current at the target was kept at approximately 150 nano-amp, except when taking data at forward angles (alab ~ 25°), where it was necessary to reduce the current because of the high counting rate from the elastic scattering of 3He on 12 c. 2. Scattering Chamber Figure 1 shows the scattering chamber and its associated parts. The chamber itself is a cylindrical section, 8 inches high and 24 inches in diameter. The target holder was a stainless steel rod, which was electrically insulated from ground, passing through the center of the lid. Two arms, which could be rotated independently around the stainless steel rod from outside of the chamber, were used as detector mounts. The angular positions of the arms could be read on a dial to an 94 accuracy of 0.25°. The beam direction was defined by two sets of slits. One, with a 150-mil square aperture, was at a distance of 62.5 inches before the target, while the other, with a 50-mil square aperture, was at a distance of 17 inches before the target. The stray beam scattered off the slits was stopped by a collimator with a circular opening, 0.19 inches in diameter, approximately 3.5 inches in front of the target. A Faraday cup assembly consisting of a tantalum cup at +JOO volts and a magnet, which provides magnetic and electric electron suppression, at -300 volts, was placed in the beam exit port 12 inches behind the target. The Faraday cup subtended an angle of 5° at the target. It was estimated that the loss of beam particles, due to multiple scattering in the target, was less than 1%. A monitor detector was mounted .o n one of the detector arms, and was kept fixed at 90° throughout the experiment. The circular opening of the collimator in front of the detector subtended an . angle of 1.8° at the target. A "telescope detector" system was mounted on the other arm, and was collimated to subtend an angle of 0.8° at the target. 95 3. Target Natural carbon foil, approximately 200jJgm/cm 2 thick, was mounted on a tantalum frame over a 0.38 inches diameter hole. For all the 12 c(3He,p) 14N measurements, the foil was placed at an angle of :45° to the beam. For the cross-section measurement of the 12 c(3He, ,3He) 12 c · h reac t"ion a t elab = 45° , a o• 5 inc x 0.5 inch natural carbon foil was weighed by an electronic micro-balance after its area had been estimated. It was then mounted on a tantalum frame and positioned perpendicular to the beam. The thickness of the carbon foil used was found to be 129 : 13 pgm/cm 2 • The main sources of error in detennining the target thickness were the uncertainty in estimating the area and the uncertainty in the uniformity of the target. 4. Electronic Circuitry A block diagram of the electronic circuits used in this experiment is shown in figure 2. The system employed a 6E and E telescope arrangement for particle identification and energy detection. The telescope arrangement consisted of a 200 ~-thick transmission-mounted silicon counter, backed up by a 3 mm-thick lithium drifted silicon counter. The gains of the E and 6E co'i.tnters were matched by attenuating the signals from the 6E counter. The E and 6E pulses were then added by a summing amplifier of unit gain, amplified and routed into two separate pulseheight-analysers, according to the size of the pulses in the E-counter, as described below. Only the seven most energetic proton groups produced in the reaction 12c(3He,p) 14N were being studied, and they all lost a major fraction of their energy in the E counter, while the 3He and 4He particle from the reactions 12 c(3He,3He) 12 c and 12 c(3He,a) 11 c lost the major fraction of their energy in the 6E counter. Particle identification was done very simply by setting up a single channel analyser to inspect the output from the E counter. The threshold of the single channel analyser was set to block the small signals produced by 3He and 4He particles. The output of this single channel analyser was then branched off into two pulse stretchers, the output of one of which was used to gate a 4096channel analyser, while the output of the other was fed into the anti-coincidence input of a slow coincidence gate. The signals of the 6E counter were also inspected by a single channel analyser which was set to cut off the noise. The output of this single channel analyser was fed into the coincidence input of the slow coincidence gate, whose output was used to gate a 400-channel pulse- 97 height-analyser. A 2 mm-thick lithium-drifted silicon counter, kept fixed at alab = 90°, was used to normalize the yields obtained by the telescope counters at different angles and bombarding energies. No particle identification was made for the monitor counter system. 98 C. 1. DATA REDUCTION Absolute Differential Cross-section Measurement In this experiment, the carbon-foil targets used had large uncertainties in their thickness• In order to convert the yields into differential cross-sections, a monitor counter set at elab = 90 0 was used. The differential cross-sections of the reaction 12 c(3He,3He) 12 c at elab = 45° were measured over the energy range 12 Mev ~ Elab ~ 18 Mev. Figure 3 shows the spectra obtained at Elab = 17.0 Mev by the telescope counters at 45°. The following equation was used in calculating the differential cross-sections, do dQ = where do = dQ y. wt, • mole. -d2 N. N a 0 -1x • SI. • CMF Q Cl differential cross-section in the center-of mass system, d = distance between target and detector, = area of detector, mole wt = molecular weight of the targe t atom, N = number of target atoms per target molecule, N0 = Avogardro's number, x = target thickness, a 99 q Q y CMF = charge of incident particles, = total charge collected, = number of counts within the peak, = center of mass factor for transf orrning from .the laboratory system to the center-of-mass system. Substituting appropriate numerical values, equation Cl becomes fill dU = 0.001935 • Y • CMF mb/st C2 Figure 4 shows the excitation function of the reaction 12 c(3He,3He) 12 c at alab = 45°. The corresponding differential cross-sections are listed in Appendix B. The uncertainty due to counting statistics and background subtraction was 3%, while the charge integration was good to 1%. These, together with a 10% uncertainty in target thickness, yield an uncertainty of approximately 10% in the differential cross-section, Fortune et. al. (FGTF 68) have recently measured the excitation function of the 12 c(3He,3He) 12 c reaction at various laboratory angles in the same energy range, and their results are in good agreement with the present experiment. These 45° differential cross-sections were used 100 to convert the yields of the reactions 12 c(3He,3He) 12 c and 12 c(3He,p) 14N into differential cross-sections by the following equations da(ecm> = da ·MON d.0. MON( 0 cm) dil. CMF(ecm) CMF DT CJ where dcr dO. = differential cross-section of the reaction = MON = number of monitor counts when the telescope counters were at elab = 45°, Y = number of elastically scattered 3He particles detected by telescope counters 0, a t 0 lab= 45 DT = dead time correction when the telescope counters were at elab = 45°, CMF = center of mass factor, at elab = 45°, for the reaction Y(0cm) 12 c(3He,3He) 12 c, = number of counts within the peak, CMF(e cm )= center of mass factor, DT(0 cm ) = dead time correction, MON(0 cm )= number of monitor counts. 101 The 12 c(3He,3He) 12 c reaction was studied using a self supporting natural carbon foil, approximately 2 200 pgm/cm thick, placed at an angle of 45° to the beam . . In the backward angles, the elastically scattered 3He particles could not be resolved from the 4He particles from the reaction 12 c(3He,a) 11 c. In the forward angles, the JHe particles scattered by the impurities in the target, mainly 16 0 and 13c, could not be resolved from 2 those scattered by·l. u. The contribution from the impur- ities was , however, estimated to be less than 4%. Angular distributions of the elastically scattered 3He by 12 c are shown in figure 5, and the differential cross-sections are tabulated in Appendix B. In addition to the 10% uncertainty from the normalization factor, the statistical uncertainties and the scattering from impurities introduced an error of approximately 4%. In the forward angles, the dead time correction had a large uncertainty, up to 50%, due to the high counting rate. The 12 c(3He,3He) 12 c elastic scattering has been studied extensively within the last few years. Fortune et. al. (FGTF 68) at 16 Mev, 17 Mev and 18 Mev, Baugh et. al. (BPRS 67) at 29 Mev, Warshaw et. al. (WBBB 68) 102 at 18 Mev, 20 Mev, 22.2 Mev and 24 Mev, Scheklinski et. al. (SSG 70) at 11 Mev, and Zunnuhle et. al. (ZF 69) at 15 Mev. Hodgson (Hod 68) and Park (Par 68) have compiled infonnation on the same reaction from earlier work. The 12 c( 3He, p) 14N reac.tion was studied using a self-supporting natural carbon foil approximately 200 pgm/cm 2 thick placed at an angle of 45° to the beam direction. Figure 6 shows the energy level diagram of 14N taken from F. Ajzenberg-Selove (Ajz 70). Figure 3 shows the proton spectrum obtained at 11.o Mev and elab = 45°. A small contribution from the reaction 16o(3He,p) 18 F indicated a 1-2% oxygen impurity in the target. Angular distributions of the proton groups leading to the lowest 7 states in 14N are shown in figures 7-13 and their differential cross-sections are tabulat ed in Appendix B. The statistical errors were between 1% and 10% in most cases. In the forward angles, the background subtraction and dead time correction introduced a 20-30% uncertainty due to the high count rate in the 6E counter, whi ch resulted in pulse pile-up in the proton spect r a . 103 The differential cross-section for 12 c(3He,p) 14N has been measured by several workers; Priest et. al. (PTB 60) at 14 Mev, Hinds and Middleton (HM 60) at 10.23 Mev and lower energies, Holbrow et. al. (HMPB 66) at 14 Mev, Mangelson (Man 67) at 20.1 Mev, J. Singh (Sin 70) from 16 Mev to 30.6 Mev. 104 D. The ANALYSIS 12 c(3He,3He) 12 c elastic scattering was analysed using the optical-model potential U( r) = Vf r ( r) + iWfw( r) + Vc ( r) Dl where = = V ( r) c = = z1z2 e 2 r2 {3 - 2Rc zlz2 R2 c ~ r l 2 r ~ R c The parameters V and W are the well depths of the real potential and the volume-absorption imaginary Rr, and ~ are the corresponding radius parameters, and Ar, and Aw are the corresponding potential. diffuseness parameters. Rc is the so-called Coulomb radius. The quality of the fits was rather insensitive to 105 small changes in Rc' so it was kept fixed at Rc = 3.21 fm. The inclusion of a spin-orbital potential improves the fit slightlya it was not included in the analysis since the improvement is not significant. A complete six-parameter search was carried out at 12 Mev, 15 Mev and 18 Mev, using as starting points the parameters given by Fortune et. al. (FGTF 68) and Park {Par 68). Two sets of average shape parameters (Rr' Ar' I\, and~) were obtained. Then a two-parameter search was made over V and W at each energy, using one set of shape parameters at a time. Only one set of shape parameters could fit the data over the whole energy range reasonably well. The parameters are listed in Table 1, and the calculated curves are shown in figure 5. It was possible to improve the fits slightly by varying the shape parameters slightly at different energies, but it seems contrary to the spirit of an optical model to use different shape parameters at different energies, and it was felt more proper to keep them constant. There is considerable evidence that 12 c is a highly non-spherical nucleus, and the cross-section for inelastic scattering to the 4.43 Mev first excited state is very large. Thus a complete description of elastic scattering process would have to take into 'I 106 account the coupling between the ground state and first excited state. The distorted-wave Born Approximation (DWBA) was used to calculate the cross-sections. For a A(JHe,p)B stripping reaction, the cross-section is given by the expression (Gle 65), da dQ 2JB+ 1 Mrp M k 2 2 2J A+ 1 ( 2'fl'fi ) ....12. L C2 k,. LSJT ST M GNLSJT BNL 12 where S and T are the spin and isospin of the transferred (pn) pair, whose center-of-mass motion around the core is described by the quantum numbers (NLM). J is the total angular momentum transferred (See Appendix A for more detail). (i) Calculation of the Structural factor, GNSLJTy Two sets of wave functions have been found to predict physical quantities in good agreement with many experimental quantities for 14N. Cohen and Kurath ( CK 65) made an intermediate-coupling shell model calculation for all nuclei in the p shell. True (Tru 63) calculated the levels of 14N on a model which assumed that the 14 N 107 nucleus consisted of a closed p core with two 312 particles in the following single-particle states; lp 112 , ld and lf . , 2s 112 512 312 712 In order to evaluate GNLSJT from the wave function , ld of Cohen and Kurath (CK 65), the two-particle coefficientof-fractional-parentage (c.f.p.) (CK 70) is needed. BNLSJTy is then equal to the product of the c.f.p. and the binomial coefficient ( 1 g) . The wave functions of True (Tru 63) are twoparticle wave functions, so the c.f.p. is identically one, and BNLSJTy is given by = s where the bracket is a 9-j symbol for transforming from j-j coupling into the L-S coupling scheme. DY is the mixing coefficient for the configuration. The overlap integral of the wave functions describing the relative motion of the transferred (pn) pair inside the 14N nucleus and 3He nucleus, respectively, can be calculated, assuming a Gaussian wave function for 3He. gave the following expression (Gle 65), Glendenning 108 ! 1l y (n) = [(2n-l)l] 2n-l(n-l) ! (xy) n-1 3/2 (1 - x) n = 1, 2, where x y T) v = = = = 2v/( 2aT) 2 + v) 1 T\(6/v) 2 radius parameter, and harmonic oscillator potential parameter. The spectroscopic factor GNLSJT y for the reaction . 12 c(3He,p) 14N has been calculated, in the way described ,,, above, by Mangelson (Man 67) and Dragun et. al. (DMT 70). Cohen and . Kurath (~ 70) also calculated the strength of the L = O and L = 2 transfers. Table 2 lists the calculated values of GNLSJTy' taken from Mangelson•s work (Man 67), of the reaction 12 c(3He,p) 14N. (ii) Calculation of Form Factor BM NL The quantity was evaluated using the computer code 'JULIE' (BDS 67), M was obtained by solving the Schrodinger " The function UNL equation for the motion of the transferred (pn) pair 109 12 relative to the c core in a Coulomb + Woods-Saxon potential V(r) Vc(r) + V0 { 1 + exp[(r- R)/AJ}-l = where V ( r) c = .1r...5. R .c = e2 ( 3 - .c R2 c ) r ~ R c ~ r V0 was varied until a solution, with the right binding energy, was found. The values of R, A and R were determined from c elastic scattering data for the 12 c(d,d) 12 c reaction. Wilsch and Clausnitzer (WC 71) and Satchler (Sat 66) have analysed the elastic scattering of d by 12 c at various energies, and gave the following values for the shape parameters R = 2. 06 fm (iii) a = 0.9 fm Optical-Model Parameters The optical parameters used in the DWBA calculations for the 12 c(3He,p) 14N reactions were listed in Tables 110 1 and 3, Table 1 lists the optical parameters obtained by fitting the 12 c(3He,3He) 12 c elastic scattering data. Table 3 lists the proton parameter used, obtained by fitting the elastic scattering data of Kirn et. al. (KBDF 64) at 30.1 Mev and Rush et. al. (RBS 71) at 49,4 Mev without a spin-orbit potential, and extrapolated to the region of interest, keeping the shape parameters and the imaginary potential fixed. The proton parameters were varied over a 10% range, in different combinations, in a few calculations, and no significant change in angular distribution was found, although the magnitude of the cross-section changed (by 15% or less). (iv) Distorted-wave calculations The curves in Figures 7 to 13 are DWBA calculations using the code 'JULIE', with optical parameters and form factor parameters listed in Tables 1 and 3. The curves are individually (and arbitrarily) normalized to the data. In general the curves fit the data reasonably well above 16 Mev. are rather poor. However, below 15.0 Mev, the fits This is not surprising considering I the drastic changes in the experimental angular distributions. Both the 2.311 Mev and 3.945 Mev transitions have a dominant L = O character. In general the positions of 111 the maxima and minima are reproduced quite well by the calculated angular distributions. r~lative However, the magnitudes of the maxima are quite far off, especially at low energies. The 4.91 Mev, 5.10 Mev and 5.69 Mev-state transitions have a dominant L = 1 character. For the 4.91 Mev state, the fit is reasonably good at energies higher than 15.0 Mev. For the 5.10 Mev state, the maximum at 20° cannot be reproduced. Also, the sharp change in angular distribution at 14.o Mev fails to show up in the calculated cross-sections. For the 5.69 Mev state, the fit is not too bad, throughout the whole energy range. The ground state transition has a dominant L = 2 character. At energies higher than 17 Mev, the fit is quite good out to an angle ·o f about 80° center-of-mass, beyond which the calculated value falls below the experimental values. At lower energies, however, t he fit is quite poor. The 5.83 Mev-state transition has a major L = 3 character. At low energies, the calculated angular distribution has a strong forward peak which is no t present in the experimental data. Above 17 Mev, the fit is quite good. The angular distributions for L = O, 1 and 2 112 transitions were also calculated with different opticalmodel and form factor parameters. Figure 14 shows the results of such calculations at 18 Mev. In general, the main feature of the angular distributions, the position of maxima and minima, are well determined by the L-value of the transfer, and not by the opticalmodel or form factor parameters used. A comparison with the calculated values of GNLSJTy listed in table 2 indicates that the DWBA stripping theory, together with the shell model wavefunctions of 14N, predicts quite accurately the dominant L-value for the reaction. This is particularly striking for the ground-state transition which, purely from relative spin and parity considerations, could be either an L = O or L = 2 transition. The theory predicts an almost pure L = 2 transition, and this is confirmed by the experimental data. The form-factor shape parameters, and the opticalmodel parameters, affect the magnitude of the calculated transfer amplitudes differently for different levels, making a comparison of the rel~tive cross-sections rather meaningless unless the parameters are specified In the case of 12 c(3He,p) 14N, as well as in the case of many light nuclei, both the optical parameters and the form factor parameters are not without ambiguity; 113 hence it is quite difficult to draw conclusions as to the value of the spectroscopic factors obtained for the reaction, as conjectured before the work was begun. Perhaps previous investigators have underestimated the ambiguity in the determination of spectroscopic factors. 114 E. CONCLUSION It has been demonstrated in this experiment that in using the distorted-wave Born Approximation (DWBA) to interpret the results of two-nucleon stripping reactions in light nuclei, it is necessary to exercise extreme care. The reaction should be followed through a reasonable range of energy to establish the "direct" nature of the reaction mechanism taking place. In the 12 c(3He,p) 14N reaction, there is a change in the shape of angular distributions for some levels around Elab = 15.0 Mev, indicating a change in reaction mechanism, and the DWBA calculatiQns cannot fit the experimental data at energies lower than 15.0 Mev, even though the angular distributions still show a 'characteristic' stripping angular distribution, i.e. with maxima and minima. The main features ID. the angular distribution of a stripping reaction are determined by the value of the orbital-angular moment~m transfer, L. The form-factor geometrical parameters, which are not known in many cases, do not seem to affect the shape of the angular distributions appreciably. The optical parameters do affect the shapes slightly, but not sufficiently t o 115 cause any confusion about which L-value is required. This means that such DWBA calculations are very useful in obtaining information on the spins and parities of the nuclear states involved in a double stripping reaction, as has been assumed many times in the past. Both the optical-model parameters and the formfactor geometrical parameters affect the magnitude of the calculated transfer amplitude B~L' differently for different transitions. Since, for . light nuclei, these parameters are not well determined, it is quite impossible to extract accurate spectroscopic factors, or even relative spectroscopic factors for different levels. The DWBA calculations, together with the shellmodel wave functions, do predict the value of the orbital angular momentum transfers reasonably well. Considering the fact that 12 c is known to have strong deformation and that elastic scattering of many different kinds of particles by 12 c is known to be difficult to fit in terms of optical-model theory, it is remarkable (and fortunate) that the DWBA calculations can predict the L-values so well. In a few cases, DWBA calculations have been used to interpret double stripping reactions at isolated energies, and the optical parameters were adjusted to 116 obtain good fits to the data (Man 67). However, the result of this experiment indicates that one should not place confidence in the spectroscopic factors so extracted from the data. 117 APPENDIX . A A. For a Two-Nucleon Stripping Theory A(3He,p)B reaction, the cross-section can be expressed as (Gle 65) dfl ~ L LSJT 2J A+ 1 2 CST I MI: GNLSJT BNL M 12 where M is the reduced mass, and kp and k 1 are the wave numbers of the incoming 3He and the outgoing proton. JA and JB are the spins of the target and residual nuclei, respectively. N, L and M are the radial and orbital quantum numbers of the transferred (np) pair whose spin and isospin are S and T. The orbital angular momentum transferred is L and the total angular momentum transferred is J, .csT is related to the isospin coupling between the (np) pair and the target nucleus as well as the nature of the potential between the (np) pair and the outgoing proton. If it is assumed that the triplet potential is proportional to the singlet potential, and if the potentials are central, CST can be expressed as (Man 67) 118 = where C(TBTTA) is the Clebsch-Gordan coefficient for coupling the isospins of the transferred pair and target nucleus A to that of residual nucleus B. b~T is the spin-isospin overlap integral of 3He and the transferred pair, and has the value (Gle 65) = The factor D(S) is discussed by Fleming et. al. (FCG 68). If the singlet and triplet nucleon potentials are equal, then D(S) =1 for potential, the ratio S = 0, 1. For a spin-dependent R = \D(l)/D(O)I is approximately 0. 3. M is the transfer amplitude, which, in the zero BNL range approximation, is given by M* = ~ UNL ( R) ~ 6 ( p) dR-+,. dR- p where x<-) and x<+) are the incoming and outgoing spherical waves generated from optical potentials determined by elastic scattering of 3He on A and proton on B. M ~ UNL(R) is the wave function describing the motion of the center of mass of the transferred (np) pair around th e co re, and is obtained by solving the 119 Schrodinger equation for the motion of the (np) pair in a Coulomb+ Woods-Saxon potential (BDS 67). ~ 4 kp and k 1 are the ~ave numbers of the proton and respectively. 15. The 3 He The position vectors are shown in figure The factor n0 , which is a measure of the strength of the potential between the (pn) pair and the proton, has been studied by Bassel (Bas 66), Rook (Roo 67) and Mathur and Rook (MR 67). The structural factor GNLSJT is the product of three ov~rlap integrals, (Gle 65), = Here PNLSJTy is the Moshinsky bracket (Mos 59) for coupling two p-shell varticles, denoted by quantum numbers n 1 .t 1 and n 2 t 2 , to center of mass motion designated by N and L and relative motion designated by principal quantum number n and angular momentum quantum number t = O. fly is the spatial overlap integral of the wave functions describing th.e internal motion of the transferred pair before and after the reaction. It can be calculated using a Gaussian wave function for JHe (Gle 65). The factor BNLSJTy' is a measure of the extent to which the nucleus B appears as the ground state of the nucleus A plus two nucleons in the states n 1 t 1 and n 2 .t 2 • If a two- 120 particle wave function is used, it is just the product of 9-j symbols for transforming from j-j coupling to L-S coupling and the mixing coefficients of the configuration. If intermediate coupling of q ( q > 2) particles is used, it is the product of the two-particle coefficientof-fractional-parentage, c.f .p., and the statistical factor(~), indicating 2 taken out of q particles. The factor g is a symmetry factor, for two identical single particle orbits, and l/~2 otherwise. a sum over the configurations the wave function. The GNLSJT contain y = (n t 1 j 1 , n 2 t 2 j 2 ) 1 of There is, however, no explicity sum over n due to the relationship (fort= 0), B. Examination of Approximations In order to facilitate numerical computation, a few approximations are commonly used in current DWBA M calculations in evaluating the transfer amplitude BNL" Some of the approximations will be discussed in this section. 1. Zero-range Approximation In this approximation, the potential between the 121 transferred (pn) pair and the outgoing proton is taken ~ to be a 6-function, 6(p). Physically, this means that the (pn) pair is captured at a point and the proton is emitted at the same point. Under this assumption, the 6-dimensional integral for B~L is reduced to a J-dimensional integral. The effect of the zero-range approximation has been treated by many workers (ADHS 64, HNB 67, Bas 66, BZ 66). Recently Rost and Kunz (RK ?l), Bayman (Bay 71) Chant and Mangelson (CM 70) compared the effects of zero-range approximation and finite range approximation, and propose simple approximations to correct for finite range effects. In many cases, the angular distributions calculated by the zero-range approximation and the finite range approximation are quite similar as far as the location of the minima and maxima are concerned (RK ?l, FDS ?l), for the case of low angular momentum transfers from 3He and JH projectile. However, the cross-sections can differ by as much as a factor of 2. Moreover, some levels are affected more than others, suggesting that zero-range calculation may introduce serious errors in the calculated relative cross-sections as well. 122 2. Local Potential Approximation In most DWBA calculations, the optical potentials as well as the shell model potential used in computing the eigenfunctions are local potentials. There are, however, good reasons to believe that both types of potentials are non-local, (Aus 65, PS 64, PB 63), and the corrections have been studied by a number of workers recently (For 71, Hus 71) • • Percy and Buck (PB 63) demonstrated that the scattering from a non-local optical potential can be reproduced by an equivalent local potential whose parameters vary with the bombarding energy. The eigen- functions of the equivalent local potential, however, are increased in the nuclear interior in comparison with the eigenfunctions of the non-local potential. This effect is extremely important in DWBA calculations since the transfer amplitude B~ contains two distorted waves, and integration has to be done over the interior of the nucleus. The net effect of nonlocality is to ' increase or decrease the calcultated cross-sections as compared with those calculated by local potentials. The relative angular distributions, however, are only slightly affected in most cases. 123 3, Radial Cutoffs Due to the uncertainties in choosing the right form of potential to generate wave functions, and the related uncertainty as to whether the optical-potential wave functions inside the nuclear interior are meaningful, the nuclear interior region is sometimes excluded in DWBA calculations .of the radius integral for B~L' In many cases, the shape of the experimental angular distributions can be fitted better by the use of radial cutoffs in zero-range local-potential DWBA calculations. It is certainly not possible to extract spectroscopic information using radial cutoffs, and the quality of the fits using radial cutoffs depends strongly on the cutoff radius. Recent developments in the use of finite-range non-local potentials indicate that such potentials produce better results for calculated differential cross-sections than the use of radial cutoffs. Thus such radial cutoffs should not be used. (DDPS 65) 4. Form Factor of Bound State A serious problem associated with both the shapes and magnitudes of the predicted cross-sections is t he choi ce of the proper form of U~L used in the calcul ation 124 M of BNL. M Through this form factor, UNL' the nuclear structure and reaction mechanism are interdependent. For a bound state, it is quite clear that the asymp- totic form of the form factor should decay exponentially as e -kr , where the wave number k is given by = with BE = separation energy of the transferred (pn) pair, and Mpn = reduced mass of the (pn) pair. A common approximation is to use a finite WoodsM Saxon spherical well to generate the form factor UNL• The computer code 'JULIE' uses this approximation. The depth of the potential is varied to produce a wave function which is a good approximation to the exponential decaying wave function e -kr • There are, however, uncertamties in choosing the shape parameters for this potential. Another approximation frequently employed is to use an infinite spherical harmonic oscillator potential M inside the interior of the nucleus, well to generate UNL and the wave function is then matched to a Coulomb or Hankel function, with decay length based on the binding 125 energy of the (pn) pair. The uncertainties in this case arise from the choice of matching radius and harmonic oscillator potential parameter11.w. Broglia and Riedel (BR 67) have compared calculations M using UNL generated by (1) a Woods-Saxon potential, (2) a harmonic oscillator potential, Saxon potential plus tail, and (J) a Woods- (4) a harmonic oscillator potential plus tail. There is no obvious way to choose the form of the M potential, or its parameters, to generate UNL' the wave function for a complex particle. In the case of unbound final states, this problem is even more serious. 5. Multiple-step Processes In most cases, two-nucleon transfer theory is based on the assumption that a single-step process takes place. It is quite possible for multiple-step processes to be confused with single-step processes, particularly when the cross-section is small. For example, the target nucleus may be excited to a higher state by the incident projectile, which is then stripped, forming the product nucleus B from an excited core. The angular distribution of a multiple-step r~action may be quite similar to the single-step reaction, 126 but the cross-section is expected to be much smaller. However, for nuclei with large inelastic scattering cross-sections as compared with elastic cross-sections, multiple-processes may be important, and the angular distributions obtained may give false values for L if they are treated as single step processes. 6. Optical Parameters The incoming and outgoing spherical waves used in DWBA calculations are generated by optical potentials • .While it is always possible to test the optical potential parameters for the entrance channel, it is sometimes impossible to obtain experimental information for the optical potential parameters for the exit channel. In this case, an "average" potential, interpolated from nearby nuclei, is used. Unfortunately the magnitude of the calculated cross-sections depend strongly on the optical-model parameters. The spectroscopic factor obtained with a purely assumed potential is therefore unreliable. This problem is particularly important in light nuclei, where there are many cases in which the required elastic scattering experiment cannot be carried out because the target is radioact ive. In any case, when one is dealing with stripping to excited states, the elastic scattering is impossible 127 and one has to assume the ground state optical potential is valid for the excited states. 128 APPENDIX B Tables of center-of-mass differential crosssections are given in this section. Errors listed in tables B2 to Bl05 are the standard deviations arising from statistics, background subtraction, and dead time correction. 129 TABLE Bl 12C( 3HE,3HEH2C ANGLE<LA6) = 45 DEGREE EXCITATION ENERGY a O.O MEV -----------------·------ -~---------~------------ e LAB dCT ldW (M8/STj E LAB dCT/dW C.M. (MB/STl ------------------------ ------------------------ 12.0 12.2 28.8 26.84 23.b8 22.55 21.06 17.80 14.<;8 12.91 12.50 12.78 12.80 12.67 12.53 10.76 8.87 8.34 7.C4 5.58 5.50 15.2 15.4 15.5 15.6 15.8 16.0 16.2 16.4 16.5 16.6 16.8 17. 0 12.4 12. 5 12.6 12.8 13.0 13.2 13.4 13.5 13.6 13. 8 14.0 14.2 14.4 14.5 14.6 14.8 15.0 ERROR 10 i 10 ~ 10 i 10 10 i 10 % 10 :i 10 * * 10 '!C :g 10 i 10 i 10 C.H. 10 l 7.2 10 .i 10 17.4 17.5 10 i 17.6 10 10 % 17.8 18.0 ' * 10 '.I 5.72 6.94 7.73 7.88 8.48 7.62 7.53 7.39 7.42 1.2 5 6.92 6.58 5.88 4.28 5.18 4.81 4.89 4.52 ERRO R 10 ~ 10 i 10 :g 10 i 10 :g 10 ~ 10 ~ 10 % 10 % 10 % 10 10 10 10 ':c* ~ 11) % 10 ·~ 10 % 10 % 130 TABLE 82 TABLE 63 12C(3tiE,3HEJ12C 12C ( 3HE , .3HE J 12C BEAM ENERGY = 12. 0 ME\/ EX. ENERGY = o.oo MEV ----~------- ANGLE C.M. ----- - .. do-1dw (MB/ST> .... ~-- ERROR (MB/ST) BEAM ENERGY = 12.5 MEV EX. ENERGY o.ou z MEV --~~-----------~-------- ANGLE C.H. d0'1dw ERROR (MB/ST> (MB/ST) l.06E 05 5.3E 04 4.2E 03 6.7E 02 l.4E 02 l.7E 01 ------------------------ ------------------------ 7.5 12.5 18.7 24.9 7.5 12.5 31.l 37.2 43.2 49.2 55.2 61.0 66. 8 72.5 78.1 83. 6 89.0 <;4. 3 99.4 104.5 109.4 114.3 119.0 123.6 128.l 132.5 8.67E 04 l.09E 04 2.35E 03 6.S6E 02 l.86E 02 4.l2E 0 1 2 .40E 01 3.05E 01 2.87E 01 2.00E 01 l.l9E 01 7.78E Ou 5.57E 00 4.3E 04 4.4E 03 7.0E 02 l.4E 02 l.6E 00 4.4E-Ol 4.lE-01 3.4E-Ol 3.3E-Ol 2.se-01 1. 7E-Ol l.2E-Ol 9.9E-02 3. 71E 00 7.6E-02 l .t SE 00 8. 2 9E-Ol l.66E 00 3.85E 00 6.l4E 00 7.31E 00 6.71E 00 4.5E-02 3.0E-02 5.lE-02 4.S6E 00 3.26E 00 l.97E 00 a.se-02 1.2 E-01 l .4E-Ol l.3E-Ol l.lE-01 8.6E-02 6.4E-02 18~7 24.9 31.l 37.2 43.2 49.2 55.2 61.0 66.8 12.s 78.l 83.6 l.05E 04 2.21e 03 6.73E 02 l. 72E 02 3. 70E 01 l. 97E 01 2.46E 01 2.25E l.55E l.:>2E 7.56E 4.0E-01 2.4E-Ol 01 2.9E-Ol 2.1e-01 2.oe-01 l.SE-01 00 l.2E-Ol 01 01 6.o3E 00 l.lE-01 4. 78E 00 9.0E-02 2.6E-02 3.SE-02 1. OE-01 l.2E-Ol l.5E-Ol l .4E-Ol 123.6 2.32E 00 6.49E-Ol l.OSE 00 4.49E 00 6.lOE 00 7.55E uo 6.89E 00 4.96E 00 128.l 2.64E 00 aq.o c:;4.3 99.4 104.5 109.4 114.3 119.0 5.6E-02 l.lt:-01 7.6E-02 131 TABLE B4 TABLE 85 12C < 3t-.E, 3HE l 12C BEAM ENERGY = 13.0 MEV EX. ENERGY = o.. oo MEV 12C ( 3HE, 3HE j 12C BfAM ENERGY = 13.5 ME\I EX. ENERGY = o.oo MEV -----------------------du1dw ERROR (MB/ST> ------------ (MB/STl ..,_ Af\GLE C.M. 7.5 12.5 18.7 24.9 ~1.1 37.2 43.2 49.2 55.2 61.0 6t>.8 72.5 78.l 83.6 ________ __ 5. 75E 04 1. 56E 04 2. OlE 03 6.27E 02 l .49E 02 2.2se 01 l.36E 01 l.77E 01 l .50E 01 9.75E 00 6.65E 00 5. 73E 00 5.82E 00 109.4 114.3 119.!'l 4.77E 00 2.77E 00 9. 82E-Cl 6.0lE-01 2.15E 00 4.37E 00 5.73E 00 5.61E 00 123.6 3.88E 00 128.l l.79E 00 89.0 S4.3 9S.4 lC4.5 2.9E 04 4.2E 03 6.oe 02 l.3E 02 l.5E 01 3.8E-Ol 2.se-01 3. lE-01 2.ae-01 2.oe-01 l .se-01 l.4E-Ol l.4E-Ol l .3E-Ol 8.9E-02 4. 7E-02 3.SE-02 7.7E-02 l .3E-Ol l.SE-01 l.SE-01 i.2e-01 1.se-02 ____ ___ ..._ ANGLE C.H. ~---~---------- dcr1dw ERROR lMB/STl (MB/ST) 7.35E 04 8.83E 03 1. 97E 03 3.7E 04 3.5E 03 5.74E 02 l.24E 02 l.40E 01 l.lE 01 -----------------------7.5 12.5 18.7 24.9 31. l 37.2 43.2 49.2 55.2 61.0 66.8 12.s 78.l 83.6 89.0 94.3 99.4 104.5 109.4 114.3 119.0 123.6 1. 31E 01 l.69E 01 l.28E 01 7.94E 00 5.73E 00 5.23E 00 4.78E 00 3. 72E 00 5.9E u2 1.2E 01 3. SE-01 2.se-01 3.0E-01 2.4E-Ol l.7E-Ol l.4E-Ol 1. 3E-Ol 1.2e-01 i.oe-01 2.46E 00 l.28E 00 l.Olf 00 l.64E 00 4.SE-02 6.5E-0 2 2.1se 3.9bE 3.95E 3. OlE 9.4E-02 l.2E-Ol l.2E-Ol l.OE-Ul 00 00 00 00 8.0E-02 5.4E-02 132 TABLE 86 TABLE 87 12C(3HE,3HEjl2C = 14.0 MEV EX. ENERGY z o.oo MEV 12C ( 3HE, 3HE l 12C BEAM ENERG¥ = 14.5 MEV EX. ENERGY = o.oo MEV --------------~--------- ----~~---------~~--~----- BEAM ENERGY ANGLE du1ckaJ ERROR C.M. (MB/ST) 018/ST> -----------------------7.5 12.5 18.7 24.9 31.l 37.2 43.2 49.2 55.2 61.0 66.8 72. 5 78.l 83.6 89. t) 94. 3 9CJ.4 lu4.5 109.4 114.3 119.0 123.6 5.07E 04 7.67E 03 l.75E 03 5.15E 02 l.03E 02 1.l3E 01 l.57E 01 l.85E 01 l.25E 01 7.0lE 00 5.13E 00 5.36E 00 4.77E 00 3.63E 00 l.66E 00 l.70E-Ol 7.CSE-01 1. 35E 00 2.09E 00 2. 57E 00 2.llE 00 l.86E 00 2.se 04 3.lE 03 5.3E 02 l .OE 01 l.OE 01 2.2e-01 2.9E-Ol 3.4E-Ol 2.se-01 l.6E-Ol 1. 3E-Ol 1.3E-Ol 1.3 E-01 1.oe-01 6.4E-02 l.7E-02 3.9E-02 5.9E-02 7.9E-02 9.3E-02 e.oe-02 7.7E-02 ANGLE C.M. du1dw (MB/ST) ERROR (MS/STl ---------------~-------~ 7.5 12.5 18.7 24.9 31.1 37.2 43.3 49.3 55.2 61.1 66.9 12.5 78.3 83.6 89.0 '74.3 99.5 104.5 109.5 114.3 119.o 3.90E 04 8.2oE 03 l.85E 03 4.80E 02 7.25E 01 l. OlE 01 2.oae 01 l.68E 01 8.34E on 3.77E Ou 3.74E 00 4.65E 00 5.88E 00 4.99E 00 3.45E 00 l.50E 00 7.48E-Ol l.16E uo 1.92E 00 2.54E 00 2.u1e 00 l.8E 04 3.4E 03 5.lE 02 9.SE 01 7.3E 00 s.oe-01 l.4E 00 8.4E-Ol 4.2E-Ol l .9E-Ol l.9E-Ol 2.3E-Ol 2.9E-Ol 2. SE-01 l.7E-Ol 1.se-01 l.SE-01 l.6E-Ol 2.oe-01 2.oe-01 2.oe-01 133 TABLE 88 TABLE 89 l2C(3HE,3HEJ12C BEAM ENERGY = 15.0 MEV EX. ENERGY ~ 0.00 MEV 12C(3HE,3hEll2C BEAM ENERGY = 15.5 MEV EX. ENERGY = o.oo MEV --~--------~------------ ANGLE C.M. dCTtdW ERROR (MB/STJ <MB/ST) ANGLE C.M. dCTtdW CMB/ST} ERROR <MB/ST) --------~--------------- 7.5 12.5 18. 7 24.9 31.l 37.2 43.2 49.2 55.2 61.0 66.8 72.5 78.l €3.6 89.0 <14.3 <79.4 104.5 109.4 114.3 119.0 123.6 5.25E 04 5.90E 03 l.69E 03 3.83E 02 5.70E Ol l. l 5E 01 l.93E Dl .l.C9E 01 5.50E 00 4.07E 00 5.22E 00 5.70E 00 5.17E 00 4.85E 00 3.90E 00 2.1oe oo 9.olE-01 8.47E-ul l.29E 00 l .65E 00 l.53E 00 l.31E 00 2.6E 04 2.se 03 5.lE 02 1.1e 01 l.2E 00 1.se-01 2. 7E-Ol l.7E-Ol 1.1e-01 8 .6E-02 l.OE-Ol l.lE-01 l.oe-01 7 .3E-02 8.6E-02 5.6E-02 3.5E-02 .3 .3E-02 4.3E-02 5.2E-0 2 2. 7E-02 4.6E-02 7.5 12.5 18.7 24.9 31.1 37.2 43.2 49.2 55.2 61.0 66.8 72.5 78.1 83.6 89.0 94.3 99.4 109.4 6.53E 04 6.70E 03 l.77E 03 4.37E 02 6.87E 01 2.0SE 01 2.24E 01 l.41E 01 7.75E 00 8.55E 00 8.64E 00 6.l6E 00 3.34E 3.81E 3.92E 2.43E 00 00 00 00 1. 0 5E 00 9.0lE-01 3.3E 04 2.7E 03 4.9E 02 8.4E 01 6.9E 00 2.9E-Ol 3.lE-01 2.lE-01 l.3E-Ol l.SE-01 1.5E-Ol l.2E-Ol 7.SE-02 8.6E-02 8.9E-U2 6.6E-02 3.5E-02 3.3E-02 134 TABLE 810 TABLE 811 12C< 3HE,3HEU2C BEAM ENERGY = 16.0 MEV ex. ENERGY = o.oo MEV 12C( 3HE,3HE H2C BEAM ENERGY = 16.5 MEV ANGLE do7dfll C.M. (MB/ST) 7.5 12.5 18.7 24.9 31.l 37.2 43.2 49.2 55.2 61.0 66.8 7.36E 04 5.62E 03 ERROR CMB/ST> ------------------------ 72 .5 78.l 83.6 89.0 94.3 99.4 104.5 3.7E 04 ex. ENERGY = o.oo MEV da-1dw ERROR ANGLE C.M. (MB/ST> (MB/ ST) 7.5 12.5 15.6 18.7 22.8 24.9 4.21E 04 5.34E 03 2.lE 04 2.2E 03 2.84E 9.85E 4.68E 2.96E 5.41E l.85E 2. ZOE 8.6E 02 3.0E 02 9.4E 0 1 6.0E 01 5.4E 00 3.lE- 0 1 3.5E-Ol ------------------------ l.65E 03 2.2E: 03 5.0E 02 4.ClE 02 8.0E 01 6.25E l. 76E 2.34E l.39E 7.64E 9.34E 01 6.lE 00 l.SE 00 01 3.6E-Ol 31.l 01 2.4E-Ol l.5E-Ol 37.2 01 00 00 l.03E 01 7.00E 00 2.73E 00 l.20E 00 l.75E 00 2.31E 00 l.34E 00 5.69E-Ol l.9E-Ol 43.2 49.2 55.2 l .4E-Ol 7.5E-02 61.0 66.8 4 .4E-02 12.s s.1e-02 7.0E-02 4.8E-02 2.9E-02 78.l l.8E-Ol 83.o 89.0 <;4.3 99.4 104.5 03 02 02 ()2 01 01 01 l.36E 01 7.42E 8.64E 9.30E 6.07E 2.64E 00 00 00 00 00 l.55E 00 2.37E 00 2.39E 00 l.47E 00 5.lOE-01 2.4E-Ol l.6E-Ol l.8E-Ol l.9E-Ol l.4E-Ol 8.3E-02 6.nE-0 2 8.0E-02 8.lE-02 6.5E-C2 3 .SE- 0 2 135 TABLE 812 TABLE 813 12 C ( 3 HE , 3 HE ) l 2C 12CC3HE,3HEll2C BEAM ENERGY = 17.0 MEV BEAM ENERGY = 17.5 MEV EX. ENERGY = O.OO MEV ex. ENERGY = o.oo ANGLE d<T/dW C.M. (MB/ST) MEV ERROR (M8/ST) ANGLE d<T/dW ERROR C.M. CMB/ST) <MB/ST) ---~----~~-------------- 1.5 12.5 4.30E 04 4.BOE 03 18. 7 24.9 :n.1 7.5 12.5 18.7 2. 45E 04 l.2E 04 4. 89E 03 2. OE 03 l.49E 03 3.61E 02 2.2E 04 l.9E 03 4.SE 02 l .42E 03 6.2E 01 24.9 3.lOE 02 31.1 3.80E 01 l.82E Ol l. 77E 01 l.07E 01 5.lSE 00 6. 71E 00 4.3E 02 6. 2E Ol 3.8E 00 2.9E-Ol 2.7E-Ol 2.oe-01 l.3E-Ol l.SE-01 l.7E-Ol 37.2 49.2 43.2 55.2 61.0 66.8 12 .5 78.1 5.48E 01 l.63E 01 4.7E 00 2.9E-Ol l.26E 01 2.07E 01 6.55E CU a.29E oo 9.l8E 00 6.42E 00 2.60E 00 2.4E-Ol 3.4E-Ol l.SE-01 i.ae-01 8 3. 6 l.03E 00 89.0 94.3 l.41E 00 l.68E 00 l.OOE 00 99.4 l.9E-Ol l.5E-Ol 8.4E-02 4.SE-02 5.9E-02 6.7E-02 5.0E-02 37.2 43.2 49.2 55.2 61.0 66.8 12.s 78.l 83.6 89.0 94.3 99.4 7.47E 00 S. OlE 00 l.3E-Ol 1. 95E 00 6.8E-02 8. loE-01 4.lE-02 l .OlE 00 4.7E-02 l. lOE 00 . 5.lE-C2 6.21e-01 3. 7E-02 136 TABLE Bl4 12C(3J1E,3HE)l2C BEAM ENERGY = 18.0 MEV EX. ENERGY = O.VO MEV ANGLE dcr1dw ERROR C.M. (MB/ST) (MB/ST> 7.5 12.5 18.7 24.9 31.1 31.2 43.2 49.2 55.2 3.09E 04 4.42E 03 l.6E 04 l.3E 03 3.9E 02 61. 0 66.8 12.5 78.l 8 3.6 89.0 S4.3 CJ9.4 l.30E 03 2.61E 02 3.35E 01 2.0lE 01 2.15E 01 7.64E 00 4.38E 00 5.75E 00 5. 23E CO 3.23E 00 l .15E 00 6.l3E-Ol l.OOE 00 7.94E-Ol 2.66E-Ol s.2e 01 3.3E 00 3.2E-Ol 3.4E-Ol l.6E-Ol i .1e-01 l.3E-Ol i.2e-01 ".2e-02 4. 8E-02 3.4E-02 4.6E-02 4.0E-02 2. 2e-02 137 TABLE 815 TABLE 816 12Cl3HE,Pll4N BEAM ENERGY :: 12.0 MEV Ex. ENERGY = O.OO MEV l2CC3HE,Pll4N BEAM ENERGY = 12.5 MEV EX. ENERGY = o.oo M E\I ------------------------ --------,--------------- ANGLE dcr1d<11 ERROR ANGLE ERROR (MB/STl dcr1dw C.M. (M8/ST1 C.M. (MB/ST) (MS/ST> ---------------~-------- 11.1 16.6 22.1 27.6 33.l 38.b 44.0 49.4 54.8 60.l 65.4 70. 7 75.9 81.l 86.2 91.2 l.32E 00 1. 55E 00 l. 65E 00 l.78E 00 i.69E 00 l .4BE 00 1.2 5E 01) l.03E 00 7.95E-Ol 6.78E-Ol 6.47E-Ol 6.08E-Ol 5.72E-Ol 5.23E-Ol 4.60E-Ol 4. 72E-Ol g6 .3 3.17E-Ol 101.2 106.2 2.59E-Cl 2.17E-Ol 2.63E-01 3. l 9E-Ol 4. 55E-Ol 5.68E-Ol 6.86E-Ol 8.26E-Ol 9.67E-Ol 9.76E-Ol 8. 91E-Ol 111.l 115.9 120.7 125.4 130.l 134.8 139.4 144. 0 148.6 153.l 8.09E-Ol -------~~--------------- 2.6E-01 11.1 3.2E-Ol 16.6 22.2 21.1 3.SE-02 4.4E-02 4 .4E-02 6 .3E-02 3.7E-02 3.3E-02 2.9E-02 2.6E-02 2.6E-02 2.se-02 2 .4E-02 2.3E-02 2.1e-0 2 2 .4E-02 l.9E-02 1.1e-02 l.6E-02 l.SE-02 2.oe-02 2. 5E-02 2 .a E-1)2 3.2E-02 3.5E-02 33.2 38.6 44.1 49.5 54.8 60.2 65.5 10.1 75.9 81.l l.l3E 00 l.35E 00 l.33E 00 l.44E 00 l.43E 00 l.26E 00 1.1oe 00 9.04E-Ol a .01e-01 7.15E-Ol 6.41E-Ol 6. 39E-01 6.24E-Ol 5.33E-Ol 86.2 4.82E-Ol 91.3 96.3 3.SE- 02 148.6 3. 86E-Ol 2.76E-Ol 2.11e-01 2.02e-01 2.38E-Ol 3.36E-Ol 4.51E-Ol 6.44E-O l 7.28E-Ol 8.07E-Ol 7.69E-Ol 6.88E-Ol 6.58E-Ol 3.6E-02 153.1 6.38E-Ol 3 .9E-02 3.9E-02 101.3 106.2 111.l 115.9 120.7 125.5 130.2 134.8 139.5 144.l 2.3E-Ol 2.1e-01 5.3E-02 5.5E- 02 4.0E-02 3.7E-02 3.SE-02 3.lE-02 2.9E-02 2.ae-02 2.se-02 2.se-02 2.se-02 2.3E-02 2.2E-U2 2.oe-02 l.SE-02 l.SE-02 l.5E-02 l.7E-02 2.1e-02 2.se-02 3.0E-02 3.3E-02 3.5E-02 3.4E-02 3.2E-U2 3.2E-02 3.lE-02 138 TABLE 817 TABLE 818 12C ( 3t-E, P >l4N BEAM ENERGY = 13.0 MEV Ex. ENERGY = o. oo MEV 12C(3HE,P)l4N BEAM ENERGY = 13.5 MEV EX. ENERGY = 0. 00 MEV -----·--------------·----- ------------------------ ANGLE C.M. dcr1dw ERROR (MB/STJ {MS/ST> 11.l 16.6 22.2 l.31E 00 l.44E 00 l.67E 00 2.6E-Ol 2.9E-Ol 5.4E-02 16.6 21.1 33.l l. 52E 00 5.6E-02 21.1 l.41E 00 l.l7E 00 S.66E-Ol 7.31E-Ol 5.86E-Ol 5.49E-Cl 6.40E-Ol 5.59E-Ol 5.46E-Ol 4.52E-Ol 3.75E-Ol 2.48E-Ol 1.71E-Ol l.53E-Ol 2.1 7E-Ol 2.58E-Ol 4.78E-Ol 6.72E-Ol S.36E-Ol 8. 77E-f.H 9.99E-Ol 8.19E-Ol 7.l3E-Ol 5. 30E-Ol 4.29E-Ol 5 .2E-O 2 5.lE-02 4.4E-02 3.8E-02 3 .3E-02 3.2e-02 3.5E-02 3.3E-02 3.3E-02 3 .oe-02 33.2 ------------------·- -- 38.6 44.l 49.5 54.9 60 .2 65.5 10.e 76.() 81.l 86.3 91.3 96.4 l 01. 3 106.3 111.l 116.0 120.8 125.5 130 .2 134.9 139.5 144.l 148.6 1 53.2 2.1e-02 2.1e-02 1. 7E-02 l.6E-02 2. oe-02 2.2e-02 3.2E-02 3 .qe-02 4.5E-02 4.7E-02 5.lE-02 4.5E-02 4. 2E-0.2 3.6E-02 3.2E-0 2 ANGLE dcr tdfll ERROR C.M. CMB/STl (MB/ST) 11.1 l.48E 00 l.87E 00 1. 92E 00 2.04E 00 l.7UE 00 1. 39E 00 l.OlE 00 6.32E-Ol 4.71E-Ol 3.59E-Ol 4.l2E-Ol 4.86E-Ol 4.67E-Ol 3.0E-Ol -----------------------22.2 38.7 44.l 49.5 54.9 60.2 65.5 70.8 76.0 81.2 86.3 <11.4 96.4 101.4 106.3 111.2 116.0 120.8 125.5 130.2 134.9 139.5 4.57E-Ol 3.4 7E-Ol 2. 51E-Ol l.67E-Ol l.22E-Ol l.44E-Ol 2.sae-01 4.47E-Ol 6.o7E-Ol 8.9UE-Ol 8.81E-Ul 8.95E-Ol 8.77E-Ol 3.7E-Ol 6.2E-02 6. 7E-02 6.2E-02 5.5E-02 4.5E-02 3.4E-02 2.9E-02 2.se-02 2.1e-02 3.0E-02 2.9E-02 Z.9E-02 2.5E-0 2 2.1e-02 l.7 E-02 l.SE-0 2 l.6E-02 2.3E-02 3.lE-0 2 3.9E-02 4. 7E-02 4.7 E- 0 2 4.SE-02 4.SE-0 2 139 TABLE 819 TABLE B20 12C(3HE,Pll4N 12CC3tiE,P>l4N BEAM ENERGY = 14.0 MEV EX. ENERGY = O.OU MEV dcr1d<a1 = BEAM ENERGY 14.5 MEV ex. ENERGY = o.oo MEV CMB/STJ ANGLE C.M. ERROR <MB/ST) dcrtdf.11 C.~. CMS/ST) CMB/ST l 11.l 1.6.7 2.2.2 21.1 :33. 2 38.7 44.1 49.5 54.9 l.42E 2. 06E 2.COE 2.13E 1. 96E l.58E 2.se-01 4. lE-01 11.1 l.02E 00 2.oe-01 16.7 8. 30E-Ol l.82E 00 2.42E 00 l.7E-Ol 1. OE-01 l.3E-Ol 2.31E 00 l.98E 00 l.2E-Ol ANGLE 60.3 65.6 70.8 76.0 81.2 86.3 91.4 96.4 101.4 106.3 111.2 116.0 120.8 125.6 130.3 134.9 l3S.5 144.1 148.7 1 53.2 00 00 00 00 00 CO l.llE 00 7.38E-Ol S.45E-Ol 4.79E-Ol 4.72E-Ol ERROR 7.0E-02 7.lE-02 6.9E-02 6. lE-02 4.9E-02 3.se-02 3.2E-02 2.9E-02 22.2 21.1 33.2 38.7 44.1 49.6 4.76E-Ol 3.0E-02 54.9 60.3 65.6 70.8 4.l6E-Ol 3.6SE-Ol 2. 39E-Ol 2. SE-02 76.l 2.6E-02 2.1e-02 1. 7E-02 1. 7E-02 l.6E-02 81.2 86.4 91.4 96.5 101.4 106.4 111.2 l.67E-Ol l.67E-Ol l.49E-Ol 3.0E-02 2.03E-Ol 3. 2 8E-Ol 4.64E-Ol 5. 88E-Ol 2.oe-02 8.45E-Ol 4.8E-02 7.68E-Ol 6.20E-Ol s.12e-01 4.4E-02 4. 7E-02 4.2E-02 3. 9E-02 3.5E-0 2 3.<;6E-Ol 4.3E-02 e.sse-01 7.18E-Ol 2.6E-02 3.2E-02 3. 7E-02 l.45E 00 l.l8E 00 8.66E-Ol 7.74E-Ol 6.68E-01 6.30E-Ol 5.48E-Ol 4.49f-Ol 3.44E-Ol 2.62E-Ol 2.31E-Ol 2.12e-01 2.84E-Ol 4.28E-Ol 116.l 5.64E-Ol 120.8 125.6 130.3 134.9 139.6 144.l 148.7 1 53.2 6.71E-Ol 8.23E-Ol 8.14E-Ol 7.13E-Ol 6.28E-Ol 4. 55E-Ol 3.76E-Ol 2.93E- Ol l. lE-01 8.4E-02 7.lE-02 5.bE-0 2 s.2e-02 4.6E-02 4.SE-02 4.0E-02 3.SE-02 2.9E-02 2.4E- 0 2 2.2 E- 0 2 2.1e-02 2.oe-02 3.SE-02 4.3E-02 4.9E-02 S.7E-02 5.0E-02 4.9E- 0 2 4.7E-02 3.8E-02 3.3E-02 2. ae - 0 2 140 TABLE 821 TABLE B22 12C(3HE,P114N 12Cl3HE,Pll4N BEAM ENERGY = 15.5 MEV ex. ENERGY = o.oo MEV BEAM ENERGY = 15.0 MEV EX. ENERGY = O.OO MEV ANGLE dcr1dca ERROR C.M. (MB/STJ (MB/ST> 11.l 16.7 22.2 27.1 33.2 38.7 44.2 49.6 55.0 60.3 65.6 70.9 1.03E 00 l.68E 00 2.23E 00 2.26E 00 2. l8E 00 l.69E 00 l.28E 00 9.73E-Ol 8.29E-Ol 6.93E-Ol 6.77E-Cl 6.59E-Ol 5. 87E-Ol 4.88E-Ol 3. 70E-Ol 2.1ae-01 l.73E-Ol l.79E-Ol 2.1e-01 3.4E-01 76.l 81.3 86.4 91.4 S6.5 101.5 106.4 111.3 116.l 120.9 125.6 130.3 135.0 139.6 144.2 148.7 153.2 l.8BE-Cl 2.76E-Cl 4.20E-Cl 5.60E-Ol 6.65E-Ol 6.<;4E-Ol 6.48E-Ol i.oe-01 1.oe-01 5.7E-02 dcr1dw (MB/ST) 9.83E-Ol 2.oe-01 16.7 22.2 21.a 33.3 l.t>OE 00 3.2E-Ol a.9E-02 1.75E 00 l.84E oo 9.0E-02 4.7E-02 4.ae-02 38.7 4.lE-02 3.5E-02 3. 2e-02 2.ae-02 44.2 49.6 6.48E-Ol 55.0 60.3 65.6 70.9 5.70E-Ol 2 .ae-02 2.ae-02 2.6E-02 2 .4E-02 76.l 81.3 l .9E-02 86.~ 1. 7E-02 91.5 96.5 l.3E-02 l.3E-02 l.4E-02 l.7E-02 2.2e-02 2. 7E-02 3.oe-02 3. lE-02 2.9E-02 2.se-02 4.86E-Ol 3.58E-Ol 2.6E-02 2.2e-02 2.oe-02 ERROR (MB/ S Tl 11.l l.57E 00 l.31E 00 9.48E-Ol 5.76E-Ol 3.0lE-Cl ANGLE C.M. 101.s 106.4 111.3 116.l 120.9 125.6 130.3 135.o 139.6 144.2 148.7 153.3 s.12e-01 5.82E-Ol 6.20E-Ol 5.46E-Ol 4.95E-Ol 3.42E-Ol 3.03E-Ol 2.24E-Ol l.85E-Ol l.81E-Ol 4.2E-02 3.5E-02 2.7E-02 2.6E-02 2.6E-02 2.6E-02 2.1e-02 2.6E-02 2.se-02 l.6E-02 l.7E-02 l.4E-02 l.3E-02 l.3E-02 2.93E-Ol l.7E-02 3.93E-Ol 5.06E-Ol 2.0E-02 2.4E-02 6.l4E-Ol 1.ose-01 2.1e-02 2.9E-02 . 6.97E-Ol 2.9E-02 6.69E-Ol 2.9E-02 6.29E-Ol 5.40E-Ol 2.ae-02 2.6E-02 4.l9E-01 2.ze-02 141 TABlE 823 TABLE 824 12C ( 3HE, P >l4N 12C(3HErP)l4N BEAM ENERGY : 16.5 MEV EX. ENERGV = 0.00 MEV BEAM ENERGY : 16 . 0 MEV EX. ENERG¥ = o.oo MEV ----~~---------~~------- ERR CR CMB/STl ANGLE dO"'tdf.11 C.H. (MB/ST> l.21E 00 2.4E-Ol 2.1e-01 11.1 13.9 9.82E-Ol 1. 35E 00 l.71E 00 ANGLE dO"'tdfAI C.M. (MB/ST> 11.0 16.7 22.2 27.8 33.3 38.8 44.2 49.6 l.45E CO l.26E-Ol 8. oOE-01 60.4 5.90E-Ol 4.44E-Ol 4.65E-Cl 5.16E-Ol 65.7 5.02.E-Ol 55.0 70.9 76.2 81.3 86.4 91.5 3.67E-Ol 2.79E-Ol l . 79E-Cl 1.94E-Ol 2.14E-Ol a.se-02 7 .9E-02 3 .1e-02 2.se-02 2.oe-02 2.ze-02 2.se-02 2 .6E-02 2.6E-02 2.2e-02 l.9E-02 l.SE-02 l .6E-02 l.6E-02 ERROR (MB/ST) 2.oe-01 a.s2e-01 l.7E-Ol 2.lE-01 4.ae-02 16.7 l.03E 00 22.2 21.a l.26E 00 33.3 38.8 44.2 49.6 55.0 60.4 l.04E 00 5.2E-02 4.7E-02 8.35E-Ol 4.lE-02 5.47E-Ol 4.95E-Ol 4. 85E-Ol 5.3.ZE-01 3.lE-02 3.0E-02 65.7 5.28E-Ol 71.0 76.2 81.3 86.5 91.5 So.6 101.s 106.5 4.44E-Ol 3.SOE-01 3.2E-02 3.0E-02 2.6E-02 2.22e-01 2.oe-02 l. 73E-Ol l.86E-01 2.33E-Ol 2.oe-02 111.3 2.93E-Ol 3.89E-Ol l.31E 00 3.2E-02 3 • .ZE-02 l.SE-02 S6.5 2. 40E-01 l. 7E-02 lOl.5 106.4 111.3 120.9 2.S7E-Ol 2.s1e-c1 2.S6E-Ol 3.64E-Ol 3.82E-Ol 2 .oe-02 2.oe-02 2.oe-02 2.3E-02 2.3E-02 1.25.7 4.67E-Ol 2.1e-02 121.0 3.78E-Ol 130.4 135.0 139.6 144.2 148.8 153 .3 5.73E-Ol 3.oe-02 3.0E-02 2 .1e-02 2.ae-02 2.se-02 2.2e-02 125.7 4.83E-Ol 2.4E'-02 2.ae-02 2.ae-02 3.3E-02 130.4 4.89E-Ol 3.3E-02 135.0 l3q.6 144.2 148.8 6.27E-Ol 3.9E-02 5.98E-Ol 5.64E-Ol 5.35E-Ol 3.BE-02 116.2 5.43E-Ol 4.68E-Ol 4.96E-Ol 4. 0 5E-Ol 3.49E-Ol 116.2 2.60E-Ol 2.64E-Ol 2.2e-02 2.2e-02 2.3E-02 3.7E-02 3.SE-02 142 TABLE 825 TABLE 826 12C(3t-E,PH4N BEAM ENERGY = 17.0 MEY EX. ENERGY = o.oo MEV BEAM ENERGY = 17.5 MEV -----~------------------ ------------------------ dcr1dw ERROR ____ C.M. ___________ ______ ANGLE C.M. A,..GLE (MB/ST) ..., (MB/ST> 16.7 7.83E-Cl 8.SOE-01 22.3 8.65E-Ol l.6E-Ol 1.1e-01 6.0E-02 3.9E-02 3.4E-02 2.ae-02 2. 3E-02 2. se-02 , 11.1 27.8 7.~2E-Ol 33.3 38. 8 5.96E-Ol 4.ZlE-01 44.2 3.0l:E-01 49.7 55.1 60.4 6 .5 . 7 3.44E-Ol 4.33E-01 4.24E-Ol 4.59E-Ol 3.69E-Ol 2.12e-01 l.97E-Ol l .28E-Ol l.81E-Ol 2.30E-Ol 2.43E-Ol 2.91E-Ol 2.12e-01 3.53E-Ol 4.C7E-Ol 4.C6E-Ol 3. <iOE-01 5.22E-Ol 3.'i6E-Ol 3.6lE-Ol 3.59E-Ol 2.86E-Ol 71.0 76.2 81.4 S6.5 91.6 S6.6 101.6 106.5 111.4 116.2 121.0 125.7 130.4 135.l 139.7 l't4.2 148.8 1~3.3 2.9E-02 2 .9E-02 3.lE-02 2. 7E-02 2.oe-02 2.oe-02 l.6E-02 l.9E-02 2.2e-02 2.3E-02 2.6E-02 2.se-02 3.0E-02 3.2E-02 3.2e-02 3.2E-02 3.ae-02 3.2E-02 3.2E-02 3. lE-02 2.ae-02 12C( 3HE,Pll<\N EX. ENERGY = o.ou do-1dw (MB/ST) MEV ERROR (MB/ST) ----------------....---11.l 16.7 22.3 21.a 33.3 38.8 44.3 49.7 55.l 60.4 65.7 11.0 76.2 81.4 86.5 91.6 96.6 101.6 106.5 111.4 116.2 121.0 125.7 130.4 135.l 139.7 144.3 148.8 153.3 4.76E-Ol 4.96E-Ol 6.38E-Ol 6. 74E-Ol 4.65E-Ol 2.99E-Ol 2.35E-Ol 3.12E-Ol 4. l6E-Ol 4. 75E-Ol 4.12e-01 3.02E-Ol l.95E-Ol l.29E-Ol l.49E-Ol 2.09E-Ol 2.21e-01 2.65E-Ol 2~80E-Ol 2.67E-Ol 2.57E-Ol 2.36E-Ol 2.31E-Ol 3.05E-Ol 2.1oe-01 3.51E-Ol 2. 79E-Ol 2.65E-Ol 2.49 E-Ol 9.SE-02 9.9e-02 2.se-0 2 6.oe-02 2.9E-02 2.2e-02 2.oe-02 2.3E-02 2.SE-02 3.0E-02 2.ae-02 2.4E-02 l.9E-02 l.5E-02 l.7E-02 l.9E-02 2. 2E-02 2. 5E-02 2.6E-02 2.se-02 · 2.5E-02 2.4E-02 2.4E-02 2.ae-02 2.6E-02 3.lE-02 2.7E-02 2.1e-02 2.6E-02 143 TABLE 827 12C(3HE,PH4N BEAM ENERGY = 18.0 MEV EX. ENERGY = O.OO MEV ANGLE dcr1dw C.M. (MB/ST> ERROR (MB/ST l 11.2 16.7 5.45E-Ol 6.61E-Ol i.1e-01 l.3E-Ol 22.3 1.2oe-01 27. 8 33.3 38.8 6.58E-Ol 4.3E-02 3.4E-02 2. se-02 2.oe-02 l .9E-02 2.3E-02 2.6E-02 3. oe-02 3.0E-02 2.6E-02 2. oe-02 l.6f-02 44.J 49.7 55.1 60.4 65.8 71.0 76.2 81.4 86.5 91.6 <;6.6 101.6 106.5 111.4 116.2 121.0 12 5. 8 130.4 3. 75E-Ol 2.5se-01 2.18E-Ol 2.74E-Ol 3.79E-Ol 4.94€-01 4.19E-Ol 3.78E-Ol 2.23E-Ol 1.42E-Ol l.23E-Ol l.94E-Ol 2.56E-Ol 3.35E-Ol 2.cse-01 l.9E-02 2.3e-02 2.ae-02 2.3E-02 2.6E-02 2.4E-02 2.Zf-02 l.li4E-Ol 2.1e-02 l.92E-Ol 2. 2E-02 2.2e-02 2.2e-02 2. 3E-02 2.3E-02 2.5e-02 3.25E-Ol 2.S6E-Ol 2.43E-Ol 135. l l.<J9E-Ol 139.7 2.r.ne-01 2.cae-01 2.cae-01 2.41E-Ol 144.3 148.8 153.3 l.4E-02 144 TABLE 828 TABLE 829 12Ct3HE,PH4N 12CC3HE,P)l4N BEAM ENERGY = 12.5 MEV EX. ENERGV = 2.311 MEV BEAM ENERGY : 12.0 MEV EX. ENERGY = 2.311 MEV ANGLE dO'tdC&I C.M. (MB/ST> 6.7 11.2 16.8 22.3 27.9 l.97E 00 l.47E 00 7.29E-01 4.32E-Ol l.SSE-01 33.4 38.9 2.63E-Ol 44.4 3.75E-Ol 49.8 55.2 60.6 65.9 11.2 76.4 81.6 86.7 91.8 96.8 101.8 106.7 111.6 116.4 121.2 125.9 130. 6 135.2 139.8 144.4 148.9 153.4 3.31E-Ol 3.00E-01 2.05e-01 l.19E-Ol 5.0SE-02 8.46E-02 ERROR ( M8/STl ANGLE C.H. tMB/STl do-1dw ERROR (MB/ST> 5.9E-Ol 6.7 11.2 16.8 22.3 27.9 33.4 3.00E oo 1.49E 00 l.03E 00 4. 70E-Ol 9.9E-Ol 3.0E-01 2.1e-01 2.1e-02 l.9E-02 l.5E-02 l.7E-02 l.8E-02 l.6E-02 l.ZE-02 9.6E-03 7.8E-03 7.SE-03 9.5E-03 l.OE-01 l.3E-02 l.4E-02 1.1e-02 1.6E-02 1.ae-02 l.6E-02 1.1e-02 1.ae-02 l.6E-02 l.5E-02 l.6E-02 1.1e-02 l.9E-l.>2 2.1e-02 2.3E-02 2.9E-Ol l .4E-Ol l. 7E-02 1.2e-02 l.5E-02 i.1e-02 l.ae-02 l.6E-02 l.3E-02 9.SE-03 6. 3E-03 8.3E-03 38.9 lt4.4 49.9 55.3 60.6 65.9 71.2 l.18E-Ol 2.1oe-01 1.oe-02 2.55E-Ol i.se-02 2.63E-Ol 2.a1e-01 2.49E-Ol l.7E-02 1. ae-02 l.SE-02 l.9E-02 1.1e-02 2.57E-Ol 2.42E-Ol 2.01e-01 1. ae-02 1. 7E-02 l.6E-02 2.13E-Ol l.6E-02 l. 7E-02 l . 7E-02 130.6 135.3 i.ae-02 2.1e-02 144.4 2.83E-Ol 3.0SE-01 2.l4E-Ol 2.29E-Ol 2.31E-Ol 3.06E-Ol 3.63E-Ol l .4E-02 2.3E-02 76.5 81.6 86.8 91.8 96.9 101.8 106.8 111.6 116.5 121.2 125.9 139.9 148.9 153.4 2.46E-Ol 2.63E-Ol 3.21E-Ol 3.60E-Ol 2.94E-Ol l.88E-Ol l.lSE-01 7.92E-02 7.79E-02 i.oae-01 l.32E-Ol 1.a&e-01 2.l6E-Ol 2.40E-Ol 2.31E-Ol 2.60E-Ol 2.23E-Ol 2.29E-Ol 2.22e-01 2.ooe-01 l.90E-Ol l. 93E-Ol 2.11e-01 2.66E-Ol 3.ZlE-01 3.66E-01 145 TABLE 630 TABLE B31 12C(31-:E,PJ14N BEAM ENERGY = 13.0 HEV EX. ENERGY = 2.311 MEV BEAM ENERGY = 13.5 MEV 12Ct3HE,Pl14N ex. ENERGY = 2.311 ME~ Al\GLE d O'/d<al C.M. (MB/ST) ERROR (MB/ST) ANGLE C.H. 6.7 11.2 3.l2E 00 9.4E-Ol a.2e-u1 4.2E-Ol l.94E 00 16.8 7.73E-Ol 1. 5E-Ol 22.4 27.9 2.68E-Ol l.8E-02 6.7 11.2 16.8 22.4 2. 73E 00 2.12E 00 2.99E-Ol 33.4 2.<i5E-Ol 3.12E-Ol 4.44E-Ol 39.0 44.4 49.9 3.94E-Ol 3.81E-Ol 3.05E-Ol l.96E-Ol 2.2e-02 2.2e-02 2.SE-02 3.9E-Cl 1.9E-Ol 2.9E-02 2.2e-02 2. 5E-02 27.9 33.5 39.0 44.4 2.3E-02 49.9 l.SE-02 l.lOE-01 l .3E-02 55.3 60.7 9.7E-03 66.0 71.3 6.3oE-02 7 .40E-0 2 l.lE-02 71.3 1.4€-02 i .se-02 l.9E-02 i.ae-02 2.oe-02 76.5 81.7 86.8 55.3 60.b 66.0 76.5 l.24E-Ol 31. 7 86.8 <; l • 9 l.llE-01 2.C7E-Ol <;6. 9 2.26E-01 2.cae-01 2.0lE-01 1. S3E-O l lul.9 106.8 111.7 lle.5 121.3 126.0 130.6 135.3 l.90E-Ol 1.11e-01 l.74E-Ol t. 1 CE-01 l.81E-Ol l.5CE-Ol ERROR (MB/ST> 9.50E-Ol 5.67E-Ol 5.75E-Ol 2.1e-02 3.2E-0 2 5.63E-Ol 4.38E-Ol 2.31E-Ol 3.lE-02 2.1e-02 l.9E-0 2 l.15E-Ol o.76E-02 l.3E-02 9.9E-03 7.28E-02 l.41E-Ol l.82E-Ol l.OE-02 l.SE-02 91.9 2.53E-Ul 2. 5.2E-Ol l.9E-02 96.9 101.9 3.28E-Ol 2.29E-Ol l.9E-02 106.8 2.14E-Ol l.9E-02 l. 7E-02 l.8E-02 111.7 116.5 1.2 1. 3 126.0 130.7 2.13E-Ol 1.a1e-01 l.46E-Ol l.23E-Ol i.22e-01 l.51E-01 2.lOE-01 l.SE-02 l.9E-02 l. 7E-02 2.2e-02 2.3E-02 149 . 0 2.l9E-Ol 2.43E-Ol 3.41E-Cl 153.4 4.28E-Ol 3. 2E-02 139.9 144.4 dO'/ d<aJ (M8/STl 2.ae-02 135.3 139.9 l. 7E-02 2.1e-u2 2.1e-02 2.se-02 2.1e-02 2.oe-02 2.oe-02 l.9E-02 1. 7E-02 l.5E-02 l.5E-02 l.8E- 0 2 2.lE-02 146 TABLE 832 TA8l.E 633 12C ( 3tiE, P H4N BEAM ENERGY : 14.0 MEV EX. ENERGY - 2.311 MEV BEAM ENERGY = 14.5 MEv ex. ENERGY = 2.311 MEV ANGLE dCT1dw C.~. (MB/SI> 6.7 11.2 2.69E 00 2.15E 00 l.OOE 00 16.8 22.4 27.9 33.5 39.0 5.71E-Ol 3.32E-Ol 4.59E-Ol 5.76E-Ol 44.5 5.56E-Ol ~9.9 55. 3 4.36E-Ol 2.42E-Ol 60.7 l.24E-Ol 66.0 7.58E-02 71.3 76.5 9.27E-02 81.7 l.89E-Ol 86.8 <n .9 S6.9 10 1.9 2.46E•Ol 2.55E-Ol 106.8 111.7 116.5 121.3 126.0 130. 7 135 • .3 139.9 144.5 149.0 153.5 l.6lE-Ol 2. 70E-Ol 2.12e-01 2.ose-01 l.87E-Ol l.68E-Ol l.S7E-Ol l.69E-Ol l.61E-Ol 12C ( 3HE, P H'tN ERROR (MB/ST> ANGLE C.H. (MB/ST) dCT/ dw ERROR (MB/ST l 6.0E-01 4. 3E-Ol 11.2 16.8 22.4 l.99E 00 2.7.9 3.05E-Ol 4.45E-Ol 5.b3E-Ol 5.53E-Ol 6.oe-01 2.oe-01 3.3E-02 2.se-02 3.3E-02 4.0E- 02 3. 9E-02 2.oe-01 3.2E-02 2.3E-02 2.ae-02 3.3E-02 3.2E-02 2 .ar-02 2.oe-02 l.4E-02 l.lE-02 l .2E-02 l.6E-02 i.ae-02 2.1e-02 2.1e-02 2.3E-02 2.ae-02 2.oe-02 1.9E-02 l.8E-02 l.9E-02 l.9E-02 1. ae-02 l.94E-Ol 2 .OE-02 l.96E-Ol 2.01e-01 2.21e- 01 l.89E-Cl 2.oe-02 2.1e-02 2.2e-02 2.9E-02 33.5 39.0 44.5 49.9 55.3 60.7 66.0 71.3 76.5 81.7 86.9 91.9 97.0 101.9 106.9 111.7 116.5 121.3 126.0 130.7 135.3 139.9 144.5 149.0 153.5 l.OlE 00 4.31E-Ol 5.09E-Ol 3.02e-01 l.71E-Ol 1.12e-01 9.50E-02 l.34E-Ol l.58E-Ol 2.ose-01 2.z1e-01 2.37f-Ol 2.42E-Ol 2.39E-Ol 2. 30E-Ol 3.7E- 0 2 2.6E-02 l.7E-02 l.3E-02 1.2e-02 l.SE-02 l.7E-02 2.oe-02 z.2e-02 2.3E-02 2.3E-02 2.3E-02 2.3E-02 2.1se-01 2.2e-0 2 2.ooe-01 2.1e-02 l.65E-Ol l.72E-Ol l.9E-02 l.45E-Ol l.49E-01 1.34E-Ol 1.21e-01 1.04E- Ol 2.1e-0 2 l. 7E-02 i.se-02 l. 7E-0 2 l.6E- 02 l.4E- 0 2 147 TABLE 834 TABLE B.35 12C<3HE,P>l4N BEAM ENERGY = 15.0 MEV EX. ENERGY = 2.311 MEV BEAM ENERGY = 15.5 MEV 12C.t3HE,P)l4N ex. ENERGY = 2.311 MEV d<T1dC11 (MB/ST> ERROR <MS/STl ANGLE dO"JdW ERROR C.M. C.M. (MB/ST) (MB/ S l ) 8.6E-Ol 4.0E-01 2.1e-01 3. 2E-02 2.4E-02 6.7 11.2 16.8 22.4 28.0 33.5 39.0 44.5 49.9 55.4 60.7 2.35E oo 1. 72E 00 3.5E-Ol Ar-.GL E 6.7 2.88E CO 11.2 2.02E 00 16.8 l.03E 00 3.56E-Ol 2.cae-01 3.62E-Ol S.C7E-Ol 6.3.ZE-Ol 5.29E-01 3.77E-Ol l.99E-Ol 9.43E-02 e.55E-02 22.4 27.9 33.5 39.0 44.5 49.9 55.3 6G.7 66.0 11. 3 76.6 81.8 86.9 8.l6E-02 l.55E-Ol 2.09E-Ol Sl.S 2.18E-Ol <J7.0 102.0 2.22E-Ol 2.45E-Ol lC6.9 2.34E-Ol 111.8 116.6 121.3 2.15E-Ol l.65E-Ol l.67E-Ol l.24E-Ol l.<l2E-Ol l.13E-Ol a.aee-02 a. OOE-02 8.44E-02 7.91E-02 126.0 130. 7 135.3 139.9 144.5 149.0 153.5 l.9E-02 2.3E-02 2.6E-02 2.4E-02 2.oe-02 l.4E-02 9. 2E-03 a.ae-03 8.SE-03 i .2e-02 l.4E-02 l.SE-02 l.SE-02 1.6E-02 l.6E-02 1.se-02 l.3E-02 l.3E-02 1.1e-02 1.oe-02 1.1 E-02 9.9E-03 9.SE-03 9.9E-03 9.6E-03 66.l 11.3 76.6 81.8 86.9 <;2.0 97.0 102.0 106.9 111.8 116.6 121.3 126.l 130.7 135 .4 139.9 144.5 lit9.0 153.5 1.10~-01 1. 96E-Ol l.90E-Ol 3.89E-Ol 6.84E-Ol 6.92E-Ol 6.llE-Ol 3.78E-Ol l.90E-Ol 8.46E-02 4.0lE-02 8.87E-02 l.65E-Ol 2.11e-01 3.l8E-Ol 3.l2E-Ol 3.06E-Ol 2.36E-Ol 2.21e-01 2.06E-Ol 1.62E-Ol l.18E-Ol l.OlE-01 a.21e-02 9.48E-02 7.86E-02 9.75E-02 t. 20 e-o l 7.0E-01 l.4E-Ol 2.4E-02 3.0E-02 l.7E-02 2.ae-02 2.ae-02 2.6E-02 2.oe-02 l.4E-02 8.SE-03 5.9E-03 9.2E-t'.)3 l.6E-02 l.6E-02 l.7E-02 l.7E-02 l.7E-02 1.sE-02 l.5E-02 l.4E-02 l.3E-02 l.lE-02 9.9E-03 8.9E-03 9.7E-03 8.9E-OJ l.OE-02 2. o e-11 2 148 TABLE 836 TABLE 637 12C(3HE,PU4N 8EAM ENERGY = lb.O MEV EX. ENERGY = 2.311 MEV ANGLE C.M. dcr1dw (MB/STJ 11.2 l.44E 00 16.8 22.4 28. 0 33.5 39.U 44.5 50.0 55.4 60.8 66.l 6.65E-Ol 2.1 7E-Ol 2.llE-01 4.96E-Ol 6.65E-Ol 6.13E-Ol 81.8 86. 9 4.72E-Ol 2.76E-Ol l.32E-Ol s.2oe-02 6.49E-02 8.<;5E-02 l.79E-Ol 2.39E-Ol 71.4 76.6 92.0 2.43E-Ol '77.0 2.37E-Ol 102.0 106.9 111.8 116.6 2.39E-Ol 12CC 3HE,P H4N BEAM ENERGY = 16.5 MEV ex. ENERGY = 2.311 MEV ERROR IMB/STJ ANGLE dcr1dw ERROR C.M. CMB/STJ CMB/ST J 2.9E-Ol l.3E-Ol 2.4E-02 2.3E-02 6.7 l.96E 00 11.2 14.0 9.93E-Ol 5.9E-Ol 2.oe-u1 l.6E-Ol 4 .oe-02 16.8 22.4 8.14E-Ol 5.12E-Ol 2.3UE-Ol 3.0E-02 28.0 2.sse-01 2 .9E-02 2 .se-02 l.SE-02 33.5 39.0 44.5 3.0E-02 3.4E-02 1. 2E-02 50.0 55.4 4.77E-Ol 5.95E-Ol 5. 91E-Ol 4.56E-Ol 2.a2e-01 l.48E-Ol 2.2e-02 7 .3E-03 8.3E-03 1.oe-02 1. 5E-02 1. 7E-02 1. 7E-02 l . 7E-02 60.8 66.l 11.4 76.6 81.8 86.9 (j2. 0 l.51E-Ol l.13E-Ol l.SE-02 l .4E-02 1.2e-02 s.c;2e-02 i.oe-02 121.4 126.l 6.22E-C2 8 .6E-03 111.8 5.~6E-02 8.6E-03 130.8 135.4 140.0 144.5 149.0 153.5 4.68E-02 7.6E-03 4.02E-02 3. 56E-02 4. 72E-02 5.4 lE-C 2 6.33E-02 7 .lE-03 116.6 121.4 126.l 130.8 135.4 140.0 144.5 6.6E-03 7.SE-03 8.4E-03 9.lE.,.03 97.0 un.o 106.9 4. 72E-02 6.0SE-02 9.43E-02 1. 94E-Ol l.96E-01 2.54E-Ol 2.35E-Ol 2.l9E-Ol l.80E-Ol l.34E-Ol l. OE- 0 1 l.9E-02 2.lE-02 3.4E-02 2.9E-02 l.6E-02 8.6E-03 l.OE-02 l.3E-U2 l.9E-02 l.9E- 0 2 2.4E-02 2.2e-02 2. o e- 0 2 i.ae-02 7.48E-02 6.69E-02 l .6E-02 l.6E-u2 1. 2E-C2 l.lE- 0 2 8.41E-02 l.3E-02 l.5E-02 l.4E-0 2 149.0 l.07E-Ol 9.51E-0 2 7.94E-02 7.92E-02 153.5 l.OlE-0 1 l.5E-0 2 1. 31E-f.H l.3E- 02 l.3E-02 149 TABLE 638 TABLE 639 12C(3HE,P)l4N BEAM ENERGY = 17.0 MEV EX. ENERGY = 2.311 MEV BEAM ENERGY = 17.5 MEV ex. ENERGY = 2.311 MEV ----------·- - ------------ ~~---------------------- ANGLE da-1dw C.M. (MB/S Tl ERROR (MB/ST) ------------------------6.7 11.2 16.8 22.4 28.0 33.5 44.5 39.0 so.o 55.4 60.8 66.1 71.4 76.6 Sl.6 87.0 92.0 97.l 102.0 lC7.0 111.8 116.6 121.4 126.l 130.8 135.4 140.0 144.5 149.0 153.5 l.95E 00 l.27E 00 6.82E-Ol 2.74E-Ol 2.19E-Ol 4.35E-Ol 6.38E-Ol 6.lSE-01 4.lOE-01 2.63E-Ol 1. tl BE-01 6.62E-02 6.43E-02 l.06E-Ol l.76E-Ol l.91E-Ol i.i;ae-01 2.18E-Ol 2.ooe-01 l.58E-Ol l.06E-Ol 9.47E-02 4.22E-02 4.47E-02 5.52E-C2 4.46E-02 5.9E-Ol 2.3E-Ol l.4E-Ol 2.1e-02 l.9E-02 2. BE-02 3.5E-02 3.4E-02 2.ae-02 2. 2E-02 l.4E-02 l .lE-02 l.OE-02 l.4E-02 i.ae-02 l.9E-02 l2C ( 3HE, P >l4N (MB/ST) ..., 6.7 11.2 1.83E 00 l.4bE 00 16.8 5. 82E-Ol 22.4 28.0 33.5 3S.1 44.5 50.0 55.4 2.41e-01 l.69E-Ol 4.47E-Ol 6.90E-Ol 6.24E-Ol 5.lOE-01 3.06E-Ol l.44E-Ol 4.24E-02 3.aae-02 l.17E-Ol l.85E-Ol 2.03E-Ol 2.61E-Ol 2.aoe-01 l.97E-Ol l.07E-Ol 8.24E-02 6.llE-02 5.69E-02 3.28E-02 3. 78E-02 4.20E-02 2.63E-02 2.sse-02 3.l4E-02 3.38E-02 60.8 66.l 71.4 76.6 81.8 81.0 92. 0 2.2e-02 2.1e-02 l.8E-0.2 l .6E-02 1.se-02 c;1.1 4.43E-02 1.1e-02 l.lE-02 l .OE-02 4.89E-02 4.45E-02 5.76E-C2 l.6E-03 l.2E-02 i .oe-02 ERROR ___ ____ _______ __ ------ 2.oe-02 9.6E-03 9.9E-03 da-1ckcl ANGLE C.M. ,. 102.n 107.o 111.a 116.6 121.4 126.l 130.8 135.4 140.0 144.5 149.l 153.5 . (MB/ST> 5.SE-01 3. oe-01 l.2E-Ol l.SE-02 l.4E-02 2.ae-02 2.ae-02 3.6E-02 3.lE-02 2.3E-02 l.6E-02 8.lE-03 1.ae-03 l.4E-02 i.ae-02 2.oe-02 2.3E-02 2.se-02 2.1e-02 1.se-02 l.3E-02 l.lE-02 l.2e-02 8.5E-03 9.3E-03 9.SE-03 7 .9E-03 a.2E-03 8. 7E-03 9.1E-C3 150 TABLE B4u 12CC31-E,PU4N BEAM ENERGY = 18.0 MEV fX. ENERGY = 2.311 MEV ANGLE dCT1dW ERROR C.M. (MB/ST) tMB/STl 6.7 2.29E 00 l.56E 00 6.56E-Ol l.82E-Ol l.43E-Ol 4.CSE-01 6.0lE-01 6.9E-Ol 11.2 16.8 22.4 28.0 33.5 3<1.1 44.6 50.0 55.4 60.8 66.l 71.4 76.7 81.8 87.0 6.03E-Ol 4.46E-Ol 2.45E-Ol l.07E-Ol 3.83E-02 4.52E-C2 i.oae-01 l.63E-Ol 130.8 135.4 140.0 144.6 l.89E-Ol 2.2oe-01 2.1ae-01 l.77E-Ol l.14E-Ol 7. 68E-02 4.85E-02 4.63E-02 4.39E-02 5.llE-02 3.99E-02 4.50E-C2 3.86E-02 149.l 2.2.0E-02 153.5 2.89E-02 92.l •H.l 102.l 107.0 111.8 116.7 121.4 126.l 3.lE-01 l.3E-Ol l .SE-0 2 l.SE-02 2 .1e-02 3.3E-02 3 .3E-02 2. 9E-02 2.oe-02 l .ZE-02 7 .6E-03 a. 3E-03 l.3E-02 l.7E-02 i .ae-02 2.oe-02 2.0E-02 2.oe-02 l.6E-02 l.3E-02 l.OE-02 9.9E-03 9.SE-03 1.1e-02 9.5E-0 3 l.OE-02 8 .oE-03 7 .2E-03 8. 3E-03 151 TA8lE 841 TABLE 842 12C(3hE,PU4N BEAM ENERGY = 12.0 MEV EX. ENERGY = 3.945 MEV ----------- _,____________ ANGLE dcr1d<&1 ERROR C.M. CMB/STl 048/ST) -----------------------11.3 16.<1 22.5 28.l 33.7 3CJ.2 44.7 50.2 55.6 61. 0 66.4 11.1 76. 9 82.l 87.3 92.3 97.4 l!J2.3 t07.3 112.l 116.9 121.1 126.4 131.U 135.e 140.2 144.7 149.2 153.7 •} 7.03E 00 4.45E 00 2.41E 00 l.4<1E 00 1.21E 00 l. l 5E 00 9.65E-Ol e.12e-01 5.23E-Ol 3.65E-01 2.s1e-01 2.96E-Ol 3.S4E-Ol 4.93E-Ol 5.89E-Ol 6.64E-Ol 6.67E-Ol 6. l4E-1Jl 5.13E-Ol 4. c; 7E-Ol 4.24E-Cl 4.34E-Ol 4.52E-Ol l.4E 00 8.9E-Ol 4. 7E-02 3.9E-02 3.5E-02 2.se-02 5.87E-Cl 2.9E-02 3.lE-02 3.9E-02 4. lE-02 4.4E-02 4.7E-02 6.52E-Ol 9.43E-Ol l.02E 00 l.llE 00 l.24E 00 3.4E-02 3.lE-02 2 .ae-02 2.2e-02 i.ae-02 l.SE-02 l .6E-02 l.9E-02 2.2E-02 2. se-02 2 .9E-02 3.0E-02 2.ee-02 2.6E-02 2.6E-02 2.4E-02 2.4E-02 12C( 3HE,PH4N BEAM ENERGY : 12.5 MEV ex. ENERGY = 3.S45 MEV -------------·-------·-ANGLE C.H. dcr1dw (MB/ST) ERROR (MB/ST) --------------~--------- 4.35E 00 2.78E 00 l.57E 00 l.14E 00 9.64E-Ol l.09E 00 9.27E-Ol 6.67E-Ol 5.25E-Ol 3.54E-Ol 2.98E-Ol 4.85E-Ol 3.99E-Ol 2.69E-Ol 2.58E-Ol 8. 7E-Ol 5.6E-Ol 5.3E-02 4.7E-02 3.lE-02 3.4E-02 3.lE-02 2.se-02 2.ze-02 l.SE-02 l.6E-02 l.7E-02 l.9E-02 2.2e-02 2.3E-02 2.5E-02 2.7E-02 2.5E-02 2.2e-02 l.BE-02 l.SE-02 126.4 l.93E-Ol 3.44E-Ol l.5E-02 2. lE- •'>2 131.U 4.40E-Ol 2.se-02 135.6 140.2 144.7 149.2 153.7 5.89E-Ol 1.02e-01 11.3 16.9 22.5 28.l 33.7 39.2 44.7 50.2 55.6 61.0 66.4 71.7 76.9 82.1 87.3 'i2.3 97.4 102.3 107.3 112.1 116.9 121.7 3.21E-Ol 3.92E-Ol 4.89E-Ol 5.38E-Ol 5.99E-Ol 5.53E-Ol 9.24E-Ol 9.85E-Ol l.llE 00 3.0E-02 3.3E-02 3.9f;-02 4.lE-02 4.4E-02 152 TABLE 643 TABLE 844 12C(3HE,PH4N 12C ( 3HE, P >l4N SEAM ENERGY = 13.5 MEV EX. ENERGY = 3.945 MEV BEAM ENERGY = 13.0 MfV EX. ENERGY = 3.945 MEV ---------~-------------AC\GLE da-1det1 ERROR ANGLE tMB/STJ (MB/ST) dO'/ det1 C.M. C.M. <MB/ST) (MB/ST) ll.3 4.<i7E 00 3.56E GO 1.1 SE 00 9.8E-Ol 7. lE-01 11.3 16.9 5.o6E 00 16.<1 3.02E 00 l.lE 00 6.0E-01 4.3E-02 4.0E-02 3. 5E-02 5.0E-02 3.9E-02 3 .1e-02 3.3E-02 3.0E-02 2.ae-02 22.5 28.l 22.5 .28.l 33.7 39.2 44 .. 7 50.2 55. 7 61.0 66.4 71. 7 76. 9 82.1 87.3 92.4 <; 7. 4 1U2.4 9.35E-Ol 6.94E-Ol 8.46E-Ol 7.99E-Ol 7.0SE-01 5.<i7E-Ol 4.€4E-Ol 4.33E-Ol 5.07E-01 5.00E-01 6.24E-Ol 5.79E-Ol 6.23E-Ol 6.G7E-Ol 112.1 5. 88E-Ol 4.25E-Ol 3.62E-Ol 116.9 3. l 9E-Ol 107.3 121.7 3.l4E-Ol 126.4 3.57E-Ol 4.55E-Ol 3.lE-02 3.lE-02 3.6E-02 3.4E-02 3.6E-02 3.5E-02 3.SE-02 2.9E-02 2.1e-02 2.se-02 2.se-02 2.ae-02 131.0 135.7 140.2 144.7 5.52E-Ol 7.46E-Ol 9.05E-Ol 3.2E-02 3 .6E-02 4.4E-02 4.9E-02 149.2 153.7 <;.sae-01 l.22E 00 6. OE-02 s.2e-02 33.7 39.2 44.7 50.2 55.7 61.l o6.4 71.7 11.0 82.l 87.3 92.4 97.4 102.4 107.3 112.1 117.0 121.7 126.4 131.1 135.7 140.2 l.SOE 00 7.19E-Ol 6.31E-Ol 8.39E-Ol 9.32E-Ol 7.99E-Ol 7.50E -Ol 5.99E-ul 4.qse-01 4.SlE-01 4.34E-Ol 4.97E-Ol 5.31E-Ol 6.39E-Ol ERROR s.2e-02 3.SE-02 3.3E-02 4.0E-02 4.ze-02 3.9E-02 3.BE-02 3.3E-02 3.0E-02 2.9E-02 2.se-02 3. lE-02 3.2E-02 3.6E-02 3.89E-Ol 3.4E-02 3.4E-02 3.2E-02 3.lE-02 2.1e-02 2.9E-02 2.9E-Q2 3.92E-Ol s.02e-01 3.SE-02 5.58E-Ol 3.7E-02 5.o5E-01 5. 53E-Ol 4.91E-Ol 4.49E-'ll 3.61E-Ol 3. 79E-Ol 3.0E-02 153 TABLE 046 TABLE 845 · 12Ct3HE,PH4N = 14.0 MEV EX. ENERGY = 3.945 MEV BEAM ENERGY 12C(3HE,PH4N BEAM ENERGY = 14.5 MEV ex. ENERGY = 3.945 MEV ANGLE da-1 d(AJ ERROR ERROR (MB/ST> (MB/STJ ANGLE C.M. da-1 dC&J C.M. (MS/ST) (MB/ST> 6.8 11.3 2.2E OU 8.9E-Ol 11.2 16.8 2.1ae oo 4.80E 00 s.1e-01 s.oe-02 3.5E-02 22.s 3.9E-02 4.4E-02 39.2 44.8 50.2 55.7 l.4E 00 5.4E-Ol 8.6E-02 4.4E-02 4.8E-0 2 6.lE-02 6.6E-02 6.lE- 0 2 5.lE-02 4.2E-02 16.9 7.19E 00 4. 94E 00 2. 86E 00 22.5 28.l l.24E 00 6.71E-Ol 33.7 39.2 7.82E-Ol 9.59E-Ol l.03E 00 44.8 50.2 8.l3E-Ol 55.7 61.1 66.4 ?1.7 77.0 6.61E-Ol .3.93E-Ol 3.42E-Ol 3.23E-Ol 82.2 87.3 3.09E-Ol 3.aee-01 4.6E-02 4.0E-02 3.SE-02 2.6E-02 2.4E-02 2.4E-02 2 .JE-02 2.1e-02 3.lE-02 3.lE-02 3.lE-02 92.4 97.4 102.4 lC7.3 4.97E-Ol 4. 90E-Ol 4.75E-Ol 5.06E-Ol 4.l2E-Ol 112.2 4.64E-Ol 117.0 121.7 126.4 3.87E-Ol 3.42E-Ol 3.lE-02 2.9E-02 2.1e-02 4.l6E-Ol 3.2e-02 4.54E-Cl 5.31E-Ol 5.72E-Ol 5.€5E-Ol 6.03E-Ol 3.4E-02 3 .6E-02 3. 7E-02 3.SE-02 3.9E-02 6. 60E-O1 5.9E-02 131.l 135.7 140.2 144.8 149.2 153.7 3.3E-02 .3. OE-02 2a.1 33.7 61.1 66.4 11.1 11.0 82.2 87.3 92.4 4j7 .4 102.4 107.3 112.2 117.0 121.7 126.4 131.l 135.7 l.23E oo 6.SOE-01 7.29E-Ol 9.77E-Ol l.08E 00 9.83E-01 7.71E-Ol 5.98E-Ol 3.96E-Ol 3.49E-Ol 3.32E-Ol 3.62E-Ul 4.12E-Ol 4.34E-Ol 4.78E-Ol 4.69E-Ol 4.17E-Ol 3.99E-Ol 3.31E-Ol 3. 92E-Ol 4.lOE-01 5.87E-Ol 5.20E-Ol 140.2 6.52E-Ol 144.8 7.60E-Ol 7.0lE-01 5. 53 E-Ol 149.2 153. 7 3.lE-02 2.9E-02 2.se-02 3.0E-02 3.3E-02 3.SE-02 3.7E-02 3.7E-02 3.4E-0 2 3.3E-02 2.9E-02 3.3E-02 3. SE-02 4.lE-02 3.7E-02 4.9E-02 5.5E-02 5.2E-02 4.4E-02 154 TABLE 847 TABLE 648 12CC3t-E,PJ14N 12C ( 3HE, P >l4N BEAM ENERGY = 15.5 MEV EX. ENERGY = 3.945 MEV = 15.0 ME~ EX. ENERGY = 3.945 HEV BEAM ENERGY ------ ·~----~-~---....-------- Al\GLE da-tdc.d C.M. (MB/STJ 6.8 11.3 16.9 22.5 28.l 33.7 39.3 44.8 5.77E 00 3.27E 00 2.17E 00 l.GlE 00 7.40E-Ol ERROR <MB/ST) ANGLE C.M. 1. 7E 00 6.4E-Ol 4.lE-01 6.8 11.3 16.9 6.oe-02 22.5 9.54E-Ol d.29E-Ol 2.ae-02 3.lE-02 3. 6E-02 3.4E-02 3.lE-02 55.7 61.l 6.74E-Ol 2. ae-02 4.C5E-Ol 66.4 2.S8E-Ol 2. 75E-Ol 2.1e-02 1. 7E-02 l.7E-02 50.2 n. 1 8.52E-Ol l.C.6E 00 11.0 2.84€-01 82.2 3. 5CE-Ol 3. 9 9E-01 3.62E-Ol 3.68E-Ol . 92.4 67.3 97.4 102.4 107.3 112.2 117.0 121.7 126.4 3 .42E-O l 2.oe-02 131.l 135.7 140.2 144.8 14'1.3 153.7 4.55E-Cl 5.90E-Ol 2.4E-02 2.ae-02 6.43E-Ol 3.0E-02 7. 94E-O 1 3.5E-02 8.28E-Ol 3.6E-02 7.21E-Ol 3.3E-0 2 1. 5E-Ol l.5E 00 l.18E 00 3.9E-0 2 39.3 l.26E 00 l.28E 00 9.45E-Ol 6.l5E-Ol 4.02E-Ol 3.l9E-Ol 4.lE-02 4.lE-02 44.8 50.2 55.7 61.1 66.4 71.7 87.3 92.4 S7.4 l .6E-02 l .4E-02 1. 5E-02 l. 7E-02 5.05E 00 3. 75E 00 28.l 2.1 E-02 l.9E-02 2. SOE-01 l.S2E-Ol 1. 97E-Ol 2.52E-Ol ERROR (MB/ST) 33.7 11.0 3.09E-Ol 048/STl l.98E 00 9.87E-Ol 9.80E-Ol l. 7E-02 l. 9E-02 2.oe-02 i .ae-02 dO"/ dc.d -- s2.2 102.4 1C7.3 112.2 117.0 121.7 126.4 131.l 135.7 140.2 144.8 149.3 153.7 3.20E-Ol 3.48E-Ol 4.22E-Ol 5.llE-01 4.83E-Ol 4.54E-Ol 3.64E-Ol 2.62E-Ol 4.0E-01 6.lE-02 6.3E-02 3.4E-02 2.1e-02 2.1e-02 l.8E-02 l.9E-02 2.oe-02 2.3E-02 2.3E-02 2.2e-02 2.2e-c2 l.9E-02 l.6E-02 2. 99E-Ol l.7E-02 2.34E-Ol 2.64E-Ol 3.39E-Ol 4.65E-Ol l.5E-0 2 5.68E-Ol 6.32E-CJl 7.61E-Ol 7.51E-Ol 1.21e-01 l.7E-02 l.9E-02 2.3E-IJ2 2.6E-02 2.ae-02 3.2E-02 3.lE-02 3.lE-02 155 TABLE 849 TABLE 850 12CC3rE,PH4N BEAM ENERGY = 16.0 MEV Ex. ENERGY = 3.945 MEV BEAM ENERGY = 16.5 MEV EX. ENERGY = 3.S45 MEV Af\GL E da-1d<&1 C.M. (MB/ST) 11. 3 2.95E 00 1. 70E 00 7.64E 00 7.58E-Ol 9.84E-Ol l.OlE 00 16 .9 22.5 28.l 33.7 39.3 44.8 50.3 55. 7 l.CJ5E CO 7.90E-01 5.46E-Ol ERROR lMB/STl ANGLE da-1d<&1 ERROR C.M. (MB/ST) (MB/ST) 5.9E-Ol 6.8 11.3 4.29E 00 l.97E 00 l.68E 00 l.3E 00 3.9E-Ol 3.4E-Ol 3.4E-Ol 4.9E-02 5.lE-02 6 .se-02 3.9E-02 4.0E-02 3.3E-02 61.1 66.4 71. 7 11.0 82.2 4. 84E-Ol 4.40E-Ol 2.7E-02 2. SE-02 2.4E-02 2.4E-02 2.se-02 2.se-02 €7.3 4.i;1E-Ol S2.4 3.79E-Ol 'i7.4 3.lSE-01 2.87E-Cl 2.28E-Ol lu2.4 107.3 112.2 117.0 121.7 126.4 131.l 135.7 140.3 144.8 149.3 1~3.7 4.43E-Ol 4.46E-Ol 4.67E-Ol 2.37E-Ol l.79E-Ol 2.lSE-01 2.C4E-Ol 2.30E-Ol 2.91E-Ol 2.98E-Ol 2.98E-Ol 2.96E-Ol 2.69E-Ol · 12C <3HE ,p H4N 14.l 16.9 22.s 28.l 33.7 39e3 44.8 l.OO E 00 2.oe-01 5.~se-01 3.lE-02 3.5E-02 4.2E-02 4. 7E-02 4.6E-0 2 4.0E-02 3.0E-02 2. 7E-()2 6.60E-Ol 8. 75E-Ol l.05f 00 9.98E-01 50.3 7.SDE-01 55.7 61.1 4.89E-Ol 2.1e-02 66.4 71.7 77.0 2.2e-02 2.oe-02 .2.0E-02 82.2 87.3 <i2.4 3.43E-Ol 3.29E-Ol 4.lOE-01 s.ooe-01 3.97E-Ol l.7E-02 c;7.4 4.92E-Ol 4.4lE-Ol 3.24E-Ol l .BE-02 1.5E-02 l.7E-02 2.2e-02 l .8E-02 2.lE-02 2.lE-02 2.1e-02 2.1e-02 2.oe-02 102.4 2.99E-Ol 107.3 2.33E-Ol 112.2 117.0 121.7 2.21e-01 126.4 l.48E-Ol 1. 70E-Ol 1. 97E-Ol 131.l 2.2ae-01 135.7 140.3 144.8 149.3 153.7 2.56E-Ol 3.llE-01 3.22 E-Ol 3.28 E-Ol 2.90 E-Ol 2.5E-U2 2.SE-02 2.se-u2 3.2E-02 3.2E-0 2 3.2E-02 2.4E-02 2.4E- 0 2 2.lE-02 2.1e-02 l.7E-02 i.ae-02 2.oe-02 2.2e-02 2.4E-02 2.7E- 0 2 2.1e-02 2.7E-02 2.bE- 0 2 156 TABLE B51 TABLE 852 12C ( 31iE ,p H4N 12C(3HE,PH4N BEAM ENERGY : 17.5 MEV ex. ENERGY = 3.945 MEV BEAM ENERGY = 17.C MEV EX. ENERGY = 3.945 MEV Af\GLE du;dw ERROR ANGLE dcr1 dw C.M. (MB/ST) (HB/STl C. M. ( MB/ST ) 6.8 11.3 3.30E 00 6.8 3.52E 00 2.23E 00 4.58E-01 4.llE-01 3.80E-Ol 9.9E-Ol 4.2E-Ol 2 .6E-Ol 2.9E-02 3.0E-02 3.9E-02 4.SE-02 4.6E-02 3.7E-02 3.5E-02 3.0E-02 3.0E-02 2. 9E-02 .2. 7E-02 4.39E-Ol 3.0E-02 c;z .4 3.73E-Ol 3.4 7E-Ol <;7.5 2.85E-Ol 102 .4 2.48E:-Ol l.57E-Ol 2.0lE-01 l.S6E-Ol 1. 78E-Ol 2.se-02 2. 7E-02 2.se-02 2.4E-02 1. 8E-02 2.1e-02 2.2£-02 2.1e-02 2. 3E-02 2.se-02 2. 7E-02 2.ae-02 2.4E-C2 lb.9 2.12E 00 l.32E 00 22.s s.oae-01 28.l 5.03E-Ol 7.69E-Ol l.C9E 00 33.7 3<:i.3 44.8 50.3 55.7 61.l 6e.s 71.8 11.0 82.2 87.3 107.3 112.2 117.0 121.a 126.5 131.l 135.7 140.3 144.8 l.OOE 00 6.79E-Ol 5.91E-Ol 4.60E-Ol 2.23E-Ol 2.43E-Ol 2.S2E-Ol 2.99E-Ol 149.3 2.49E-Ol 2.41E-Ol 153.7 2. 36E-Ol 2.se-02 2.se-02 ERROR (M8/STl 16.9 l.25E 00 l.OE 00 4.5E-Ol 2.se-01 22.5 6.lSE-01 5.22E-Ol 7.92E-Ol 2.se-02 2.7E-02 3.9E-02 8. 52E-Ol 3.9E-02 4.2E-02 11.3 28.l 33.7 39.3 44.8 50.3 55.7 7.94E-Ol 3.SE-02 3.lE-02 3.lE-02 66.5 6.37E-Ol 4.96E-Ul 4.87E-Ol 4.57E-Ol 71.8 4.35E-Ol 11.0 4.15E-Ol 3.92E-Ol 2.9E-02 .2.9E-02 .2.SE-02 2. 7E-02 2.2e-02 2.6E-02 c1.1 82.2 e1 • .3 92.4 c;1.5 102.4 107.3 112.2 3.69f-Ol 2.sse-01 3.0lE-01 2.01e-01 2.31E-Ol 2.41E-Ol 117.0 2.64E-Ol 121.8 126.5 2.76E-Ol 131.1 135.7 140.3 144.8 149.3 153.7 2.35E-Ol 2. BlE-01 2.59E-Ol 3.06E-Ol 2.9E-02 2.lE-02 2.3E-02 2.4E-02 2.ae-02 2.6E-C2 2.4E-02 2.1e-02 2.6E-02 2. 02E-Ol 2.9E-02 2.6E-02 2.3E-02 l.99E-Ol 2.3E-02 2.46E-Ol 157 TABLE 853 12C ( 3hE ,p H4N BEAM ENERGY = 18.0 MEV EX. ENERGY = 3.945 MEV --------~-~--~--~-......---- ANGLE da-1dfAI ERROR C.M. (MB/ST) (MB/ST> ------~--~---------~~~-- i.1e oo 6.8 3.75E 00 11.3 2.09E 00 4.ze-01 16.c; 22.5 28.l 33.7 39.3 44.8 50.3 55.7 1.02E 00 5.24E-Ol 4.SOE-01 6.92E-01 7.30E-Ol 7.C5E-Ol 5.29E-Ol 4.56E-Ul 4.l8E-Ol 4.60E-Ol 4.24E-Ol 4.12E-Cl 3.35E-Ol 3.18E-Ol 2.oe-01 3. 2E-02 2.9E-02 3.5E-0 2 3. 7E-02 3. 7E-02 4.5E-02 2. SE-02 2.8E-02 61.1 66.5 71.8 77.0 82.2 87.4 '12.4 c; 7 • 5 102.4 i:n.4 112.2 117.0 121.8 126.5 131.1 135.1 140.3 144.8 149. 3 153.7 2.82E-Ol 2.36E-Ol 2.53E-Ol 2.46E-Ol 2.35E-01 2.2BE-Ol 2.62E-Ol 2.55E-Ol 2.54E-Ol 2.65E-Ol 2.aae-01 2.32E-Ol 2.22e-01 2.36E-Ol 2.9E-02 2.ae-02 2. 7E-02 2.se-02 2.4E-02 2.3E-02 2. 2E-~2 2.4E-02 2.4E-02 2.3E-02 Z .3E-02 2.5E-02 2.se-02 2 .SE-02 2.6E-02 2. 8E-02 2.se-02 2.4E-02 2. 5E-02 158 TABLE 854 TABLE 855 12CC 3hE ,PH4N BEAM ENERGY = 12.0 MEV EX. ENERGY = 4.91 MEV 12CC3HE,PU4N BEAM ENERGY EX. ENERGY = 12.5 MEV = 4.91 MEV A f\GLE dcr1dw ERROR ANGLE dcrtdcu ERROR C.M. (MB/ST1 (MB/ST} C.M. 0'1B/ST> (MB/ST> 11.3 17.0 22.6 28.3 33.9 39.4 8.02E-Ol l.65E 00 3.lE-01 3.4E-Ol 1.1e-02 7 .2E-02 45.0 50.5 55.9 61.3 66.7 72. (J 77.3 s2.s 87.6 c;2.1 c; 7. 7 102. 7 107.6 112.5 2.53E 00 2.25E 00 l.<;SE 00 l.65E 00 2.se-01 11.3 l.02E 00 3.3E-Ol 4.9E-02 5.0E-02 17.0 l.69E 00 22.6 2.47E 00 2.28E 00 l.92E 00 4.8E-02 l.64E 00 4.4E-C2 l.31E 00 l.14E 00 8.73E-Ol 7. 24E-Ol 3.SE-02 4.SE-02 4.4E-02 :1.9E-02 l.34E 00 l.21E 00 9.c;6E-O l 3. 6E-02 7.51E-Ol 5.79E-Ol 4.62E-Ol 2.4E-02 4.13E-Ol 3. <i7E-C l 4.06E-Ol 4.54E-Ol 5.12E-Ol 5.54E-Ol 5.lOE-01 4.E4E-Ol 3. 2E-02 2 .aE-02 2.1e-02 2.oe-02 2.oe-02 2 .oe-02 2.3E-02 2.se-02 2. 7E-02 2 .6E-02 117.3 4.C6E-Ol 2.se-02 2 .3E-02 28.3 33.9 39.4 45.0 50.5 55.9 t 1. 3 66.7 12.0 77.3 82.5 S7.6 92. 7 97.7 102.7 lC-7.6 2.1e-02 2.0f-02 112.5 117.3 122.0 126.7 131.3 135.9 3.37E-Ol 2 .2e-02 140.5 3.46E-Ol 2.2e-02 2. 7E-02 2.2E-02 122.0 3. 6lE-CH 2.2e-02 126.7 131.3 135. 9 3.CSE-01 3.22E-Ol 2. 99E-0 l 2.0E-02 140.5 145.0 l4S.4 . 153.9 3. 57E-Ol 3.26E-Ol 4.82E-Ol 4.l7E-Ol 3.56E-Ol 3.5E-02 3.0E-02 2. 7E-02 2.1e-02 2.oe-02 l.SE-02 4.23E-Ol l .BE-02 2.oe-02 2.lE-02 4.86E-Ol 2.se-02 3.36E-01 3.92E-Ol 4.83E-Ol 2.se-02 5.09E-Ol 4.75E-Ol 2.6E-02 4. 3UE-Ol 3.SOE-01 2.se-02 2.4E-0.2 2. 3E-02 L.lE-02 2.1e-02 2.lE-02 145.0 149.4 3. 36E-Ol 3.33E-Ol 3.07E-Ol 2.99E-Ol 2.89E-Ol 2.85E-Ol 2.0E-02 15.3. 9 2.79E-Ol 2.oe-02 2.oe-02 2.0E-02 159 TABLE 856 TABLE 657 12C(3HE,P)l4N BEAM ENERGY : 13.0 MEV EX. ENERGY = 4.91 ME\/ Bf AH ENERGY = 13.5 MEV ex. ENERGY : 4.91 ME\/ ------·- ----- ----------- 12C( 3HE,PJ14N ----- ----~------------ ANGLE dcr1 dC&J ERROR ANGLE dcr1dC&J ERROR C. M. (MB/STJ (MB/ST} C.M. (MB/ST) (MB/ ST) 11.3 l.65E 00 2.03E 00 l .B7E 00 l.75E 0 0 l.30E 00 9. 71E-Ol 7.30E-Ol 6.49E-Ol 5.41E-Ol 3.98E-Ol 3.09E-Ol 2.36E-Ol -----------------------ll. 3 11.0 22.c 28.3 33.9 39.4 45.0 50.5 55.9 61'. 3 66. 7 12.0 77.3 S2.5 8 7.6 92.7 c:;7. 7 10 2.7 107.6 112.5 117.3 122.U 126.7 131.3 135.9 140 . 5 145.0 149 .4 1 53.9 l. 4 SE: 2.42E 2.71E 2.'J2E l.. 8 9E l .26E 00 00 00 00 00 00 l.12E 00 8.88E-Ol 7.75E-Ol 6.17E-Ol 5.09E-Ol 3.78E-Ol 3.25E-Ol 2.99E-Ol 3.02E-Ol 3.23E-Ol 3.3lE-Ol 3.58E-Cl 3.48E-Ol 3.88E-01 3.40E-Ol 3.lOE-01 2. 85E-Ol 2.s1e-01 2.84E-Ol 2.42E-Ol 2.69E-Ol 3.12E-Ol 2.46E-Ol 4.3E-Ol 4.8E-Ol 7.3E-02 6.7E-02 5.2E-02 4.9E-02 4. BE-02 1t.2e-02 3.se-02 3.4E-02 3.lE-02 2.6E-02 2.4E-02 2.3E-02 2.4E-0 2 2.5E-02 2.5E-02 2.6E-02 2.6E-02 2.ae-02 2.6E-02 2 .se-02 2.5E-02 2.SE-02 2.se-02 2.JE-02 2.5E-02 2. 7E-02 2.4E-02 -----------------------17.0 22.6 28.3 33.9 3q.4 45.0 50.5 55.9 61.3 66.7 72.0 77.3 82.5 87.6 92.7 97.7 102.7 107.6 112.5 117.3 122.0 126.7 131.3 135.9 140.5 i.ase-01 l.73E-Ol l.59E-Ol l. 93E-Ol 2.46E-Ol 2.91E-Ol 2.eoe-01 3.05E-Ol 3.2UE-Ul 2.a2e-01 2.40 E-Ol 2.0SE-Ul l.93 E-Ol l.43E-Ol 4.9E-Ol 4.lE-01 5. 9E-Ot! 6.lE-0 2 5.2E-02 4. 3E-02 3.bE-02 3.4E-02 3.lE-0 2 2.6E-02 2.3E-02 2. o e- 0 2 l. 7E-02 l. 7E-02 l.6E- ~ 2 l.8E-02 2.lE-02 2.4E-02 2. 3E-02 2.5E-0 2 2.6E-02 2.4E-02 2.2e- 0 2 2.lE-02 2.ue-02 l.7 E-02 160 TABLE 858 TABLE 659 l2C'31-!E,P114N ·- 14.0 ME \I EX. ENERGY = 4.91 MEV BEAM ENERGY = 14.5 MEV EX. ENERGY --·----------------------- ------------------------ BEAM ENERGY A~GLE dO"' I dw ERROR C.M. (MB/STl (MB/ST} 11.3 l.12E 00 l.23E 00 l.73E 00 l.32E 01) 9.90E-Ol 6.S3E-Ol 5.29E-Ol 5.00E-01 4.05E-01 3.52E-Ol 2. l .3 E-Ol l.67E-Ol l.59E-Ol l.66E-Ol l.95E-Ol l.78E-Ol l.61E-Ol l.SOE-01 1.99E-Ol l.25E-Ol l.12E-Ol l.l2E-Ol l.23E-Ol 3.4E-Ol 2.4E-Ol -----------------------17.0 22.6 28.3 33.9 39.4 45.0 50.5 55.9 tl.3 66.7 12.c 77.3 S2.5 87.6 '12.1 <; 7. 7 102.7 1C7.6 112.5 117.3 122.u 126.7 131.3 . 8.61E-02 8.52E-02 140.5 7.<i5E-02 145.0 l.17E-Ol 149.4 1. 6 5E-<H 153.9 l.91E-Ol 135.9 6. 2E-02 5.3E-02 4.4E-02 3.6E-02 3.1 E-02 3.0E-02 2.6E-02 2 .4E-02 l.9E-02 l.6E-02 l .6E-02 l. 7E-02 1.ae-02 l.7E-02 l.7E-02 l e8E-02 12C(3HE,P>l4N ANGLE C.H. 11.2 16.8 22.6 28.3 33.9 39.4 45.0 50.5 55.9 61.3 66.7 12.0 77.3 82.5 87.6 <;2.7 97.7 l.9E-02 2.9E-02 153.9 l .5E-02 1. 5E-02 l .5E-02 l.6E-02 l.3E-02 l.3E-02 1.2e-02 l.6E-02 ME\t dcr1dw ERROR tMB/STl (MB/ST> 6.19E-Ol 7.25E-Ol 8.45E-Ol 9.26E-Ol 1.2oe-01 6.28E-Ol 4.87E-ul 4.02E-Cl 3.19E-Ol 2.65E-Ol 2.19E-Ol l.72E-Ol l.69E-Ol l.66E-Ol l.45E-Ol l.25E-Ol l.03E-Ol 6.48E-02 4.21E-02 3.06E-02 3.33E-02 4.70E-02 l.9E-Ol l.4E-Ol 5.4E-02 5.BE-02 4.SE-02 4.3E-02 3.6E-U2 3.6E-02 3.lE-02 2.1e-u2 2.4E-02 2.1e-02 1.ae-02 l.8E-02 l.BE-02 l.6E-02 l.5E-02 l.3E-02 l.OE-02 7.BE-03 6.5E-03 6.9E-0 3 8.5E-U3 5.13E-02 9.3E-03 8.51E-02 1.2oe-u1 l.36E-Ol 1.79E-Ol 2.1se-01 l.lE-03 l.SE-02 l. 7E-02 2.C\E-0 2 ------------------------ 102.7 107.6 112.5 117.3 122.0 126.7 131.3 135.9 140.5 llt5.0 149.4 2.oe-02 = 4.91 't.91E-Ol 2.3E-02 TABLE 860 TABLE 661 12C ( 3HE ,p H4N BEAM ENERGY = 15.0 MEV EX. ENERGY .: 4.91 MEV 12C<3HE,Pjl4N BEAM ENERGY = 15.5 MEV ex. ENERGY = 4.91 MEV --------~-------------~~-- --~~-----------~-------- ANGLE dO"tdw ERROR ________ _________ _____ Tl CMB/ST) C.M. (M8/S ANGLE .._._ 11.3 8.20E-Ol 17.0 8.C5E-Ol 8.57E-Ol 7 .13E-Ol 22.6 28.3 33.9 39.4 45.0 50.5 55.9 61.3 66.7 12.0 77.3 82.5 87.6 112.1 S7. 7 102.7 107.6 112. 5 117.3 122.0 126.7 131.3 135.9 140. 5 145.0 149.4 153.9 6.lOE-01 5.SClE-01 5.59E-Ol 5.02E-Ol 4.60E-Ol 3.47E-Ol 2.56E-Ol l.c;4E-Cll l.66E-Ul l.79E-Ol l.32E-Ol l.19E-Ol 8. 54E-02 8.43E-02 6.23E-02 3.41E-02 3.<JOE-02 3.80E-02 4.68E-02 8.90E-02 l.lOE-01 l.42E-Ol l.73E-Ol l.77E-Ol 2.C9E-Ol 2.se-cn l.6E-Ol 5 .'tE-02 4.SE-02 2 .se-02 2.se-02 2.4E-02 2.Je-02 2.2e-02 l.9E-02 l.6E-02 l.4E-02 i.ze-02 2 .4E-02 l.lE-02 l.OE-02 8.9E-03 8.9E-03 7.6E-03 (MS/ST) 11.3 17.0 22.6 28.3 8.95E-Ol 9.l3E-Ol 9.46E-Ol l.03E 00 8.04E-Ol 7.06E-Ol 5.64E-Ol 5.58E-Ol 4.56E-Ol 3.76E-Ol 2.19E-Ol l.83c-Ol l. 88E-Ol l.60E-Ol 1.s1e-01 l.39E-Ol l.09E-Ol 1.19E-Ol 6.92E-02 5.26E-02 4.6oE-02 7.88E-02 6.97E-02 i.21e-01 l.59E-Ol l.91E-Ol l.93E-ul 2.22e-01 2. U2E-Ol 2.1e-01 l.8E-Ol 5.9E-02 6.3E-02 3.lE-02 2.ae-02 2.5e-02 2.se-02 2.2e-02 2.oe-02 l.5E-02 1.4E-02 -----------------------33.9 39.4 4 .5 .0 50.5 55.9 61.3 66.7 12.0 77.3 82.5 87.6 92.7 <;1.1 l.3E-02 l .4E-0 2 l .5E-02 l.6E-02 153.9 6.0E-03 6.SE-03 9.SE-03 l.lE-02 ERROR (M8/STj 102.7 107.6 112.5 117.3 122.0 126.7 131.3 135.9 14Cl.5 145.0 5.SE-03 6.lE-03 dO"tdw C.H. 149.4 l.4E-02 l.3E-02 2.1e-02 l.lE-02 9.7E-03 1.ue-02 7.7E-03 6.6E-03 6.3E-03 9.2E-03 8.0E-03 1.1e-u2 l.3E-02 l.4E-02 l.SE-02 1. 6E-O 2 l.5E-02 162 TA8LE 862 TABLE 863 12C(3HE,P114N l2Ct3HE,Pll4N BEAM ENERGY = 16.5 MEV ex. ENERGY = 4.91 MEV BEAM ENERGY = 16.0 MEV E: x. ENERGY -= 4.91 MEV -------------- -- .... ANGLE C.M. dcTtd<tJ (MB/SH -~.---- ERROR (HB/STl -----------------------11.3 17.0 22.6 28.3 33.S 39.4 45.0 50.4 55.9 61.3 66.7 12.0 77.3 82.5 e1.6 92.7 97.7 iu2.1 107. 6 112.5 117.3 122.0 126.7 131.3 135.9 140.4 145. 0 149.4 153.9 8.79E-Ol l.lOE -00 1. l 7E 00 9.37E-Ol 7.lOE-01 6.81E-Ol 6.23E-Ol 5.13E-Ol 3.42E-Ol 2.11e-01 l.75E-Ol l.84E-Ol l.41E-Ol l.30E-Ol l.34E-Ol 7.07E-02 5.03E-02 5.l4E-02 2. llE-02 2.25E-02 3.l4E-02 3. C4E-02 4.29E-02 7.64E-02 8.42E-02 l.21E-Ol l.52E-Ol l.58E-Ol l.93E-Ol 2 .1e-01 2.ze-01 6.7E-02 5.SE-02 s.oe... 02 3.0E-02 2 .9E-02 2.6E-0 2 2 .oe-02 l.SE-02 l.4E-0 2 l .5E-02 l.3E-02 i.ze-02 l.3E-02 a.ae-03 7 .4E-03 7.6E-03 4.BE-03 5.0E-03 6.0E-03 5.9E-03 7 .3E-03 9.9E-03 l. lE-02 l.3E-02 l.5E-02 1.se-02 l.7E-02 -----------------------ANGLE C.H. dO'td<tJ (MB/ST> ERROR (MB/ S Tl -------~------~~~~------ 11.3 14.2 17.0 22.6 28.3 33.8 39.4 45.0 50.4 55.9 61.3 66.7 12.0 77.3 82.5 87.6 92.7 97.7 102.7 107.6 112.5 117.3 122.0 126.7 131.3 135.9 140.4 145.0 149.4 153.8 i.2oe 00 l.lOE 00 l.14E 00 l.07E 00 9.60E-Ol 7.44E;_Ol 1.02e-01 5.92E-Ol 5.l6E-Ol 3. 92E-Ol 3.l6E-Ol 1.97E-Ol l.65E-Ol l.23E-Ol l.07E-Ol 9.55E-02 l.06E-Ol 1.2oe-02 6.27E-02 4.36E-02 3.50E-02 3.34E-02 3.96E-02 5.89E-02 6. 76E-02 9.93E-02 l.lSE-01 l.28E-Ol 2.1ae-01 2.45E-Ol 3.3E-Ol 2. OE-01 2.2e-01 4.5E-02 4.3E-02 3.7E-02 3.5E-02 3.4E-OZ 3.lE-02 2.1e-02 2.4E-u2 l.8E-02 l.7E-02 l.4E-02 l.4E-02 l.3E-02 i.se-02 l.2E-02 l.OE-02 8.6E-03 7. lE-03 7.5E-03 8.4E-03 l.1E-C2 l.lE-02 1.4E-02 l.6E-02 l.7E-02 2.2e-02 2.4E-02 TABLE 665 TABLE B64 12CC3HE,P)l4N BEAM ENERGY = 17.0 MEV EX. ENERGY : 4.91 MEV At-.GLE C.M. 11.3 17.0 2.2.6 28.3 33.8 39.4 45.0 50.4 55.9 61.3 66.7 12.0 11.2 e2 .s 87.6 92.7 c; 7. 1 102.7 10 7. 6 112.5 117.2 122.0 126.7 131.3 135.9 140.4 145.0 l2CC3HE,P)l4N BEAM ENERGY EX. ENERGY = 17.5 MEV = 4.91 MEV do-;dw ERROR (MB/SH (MB/ST> 7.lSE-01 8.45E-Ol 2.2e-01 11.3 6.l5E-Ol l.9E-Ol l.7E-Ol a.12e-01 9.74E-Ol 4.3E-02 4. lE-02 3.SE-02 3 .se-02 3 .6E-02 3.3E-02 l.6E-Ol 3.2E-02 3.4E-02 3.7E-02 3. SE-02 3.5E-02 ANGLE C.M. 5.52E-Ol 3.80E-Ol 2.95E-Ol 2.7E-02 2.3E-02 17.0 22.6 28.3 33.8 3<3.4 45.0 50.4 55.9 61.3 l.68E-Ol l. 7E-02 66.7 1. 70E-Ol l.28E-Ol i.ae-02 1.5e-02 1. 7E-02 l. 7E-02 l.4E-02 12.0 11.2 82.5 87.6 c;2.1 97.7 102.7 107.6 8.40E-Ol 7.39E-Ol 6.27E-Ol 6.53E-01 l.53E-Ol l.43E-Ol l.OlE-01 l.2E-02 117.2 2.85E-02 7 .9E-03 9.3E-o3 122.0 126.7 9.9E-03 l.7E-02 l.7E-02 l .9E-02 2.1e-02 2.3E-02 131.3 1~9.4 l.74E-Ol 1. 93E-Ol 6. 60E-Ol 5.05E-Ol 3.89E-Ol 3.l 5E-Ol 2.14E-Ol l.75E-Ol l.22E-Ol l.34E-Ol l.38E-Ol l.29E-Ol 7. lE-03 153.8 7. 75E-Ol 6.45E-Ol 153.8 2.3qe-02 l.C6E-Ol l.14E - Ol l.41E-Ol 8.<10E-Ol 7.82E-Ol 14<i.4 1.1e-02 9.5E-03 7 .6E-03 4.36E-02 ERROR (MB/ST) 9.73E-02 7.47E-02 4.SlE-02 3.0lE-02 3.48E-02 2.41E-02 2. 47E-02 l.45E-02 4.bSE-02 7.0SE-02 7.15E-02 s.u4e-02 8.93E-02 6.85E-02 5.70E-02 4.44E-C2 2.ase-02 3.<ilE-02 do-1dw (MB/ST> 112.5 135.9 140.4 145.0 3.0E-02 2.oe-02 2.4E-02 l.9E-02 l.7E-02 l.5E-02 l.5E-02 l.6E-02 l.3E-G2 l • .2E-02 9.6E-03 7.BE-03 8.SE-03 7.2E-03 7 .4E-a3 5.6E-03 l.OE-02 l.3E-02 l.3E-02 l.4E-02 l.SE-02 l.SE-02 164 TABLE B 66 12C(3hE,PH4N ENE~GY 18.0 ME IJ EX. ENERGY : 4. 91 MEV = 8EA~ ____ _____ __________ ____ . , ,.. A~GLE do- I dw C.M. (MB/ST) 11.3 17.0 22.6 28.3 33.8 39.4 7.35E-Ul 7.65E-Ol 2.2E-Ol 8.26E-Ol 4.5E-02 3.9E-02 3. 6E-02 3.9E-02 3.4E-02 3.0E-02 2.se-02 2.2e-02 ERROR tMS/STl ----------------·--·--......- 44. <; 50.4 55. 9 61.3 66.7 12.0 11.2 €2.4 87.6 'i2.7 c; 1 • 7 102 .. 7 1 ~ 7.6 112.4 117.2 122.u 126.7 131. 3 135.9 140.4 144.9 149.4 153.8 7.S4E-Ol 7.13E-01 6.'i6E-Ol 6.30E-Ol 5.l5E-Ol 4.19E-Ol 2.96E-Ol l.87E-Ol l.24E-Ol 1.03E-Ol 9.71E-02 '7.19E-02 6.62E-02 8.53E-02 6.70E-02 6.S6E-02 3.czi:-c2 5.09E-02 2.<J2E-02 .3.84E-02 2.49E-02 3.84E-OZ 5.45E-02 5.03E-C2 8.52E-02 7.C3E-02 l.5E-Ol l.SE-02 1.se-02 l.3E-02 l.3E-02 i.2e-02 9. 7E-03 l.2E-02 l.2E-02 i.2e-02 1. 8E-0.3 l.OE-0 2 1. SE-03 9.2E-03 7.'tE-03 9 .4E-03 l. lE-02 l.lE-02 l.5E-02 l.3E- n2 TABLE 867 TABLE 868 12C(3~E,PH4N 12Ct3HE,Pll4N BEAM ENERGY = 12.5 MEV ex. ENERGY = s.11 MEV BEAM ENERGY = 12.0 MEV EX. ENERGY = 5.11 MEV A~GLE dO"'JdCll ERROR Af\GLE d0"'1dcu ERROR C.M. (MB/STJ (MB/STl C.H. (MB/.ST) tMB/STJ 6.8 9.91E 00 l.06E 01 9.35E 00 6.9CE 00 5.5CE 00 2.aE Ofl 2.1e oo l.9E 00 9.5E-02 11.4 17.0 22.1 28.3 7.l6E 00 5.SOE 00 3.95E 0 0 l.OE-0 1 9.lE-02 7.9E-02 33.9 39.5 2.45E 00 5.6E-C2 3.25E 00 2.67E 00 2.36E 00 2. 09E 00 2.00E 00 l.S8E 00 6.7E-02 5.9E-02 5.5E-02 45.0 5.lE-02 61.4 66.8 4.SE-02 77.3 l.83E 00 1. 60E 00 87.7 l.35E 00 l.22E 00 11. It 17.0 22.1 28.3 33.9 39.5 45.0 50.5 56.0 61.4 66.8 12.1 e2.s 4.24E 00 92.8 1.cse oo 'i 7. 8 1. 03E 00 l.u2E 00 l.llE 00 1. 2 5E 00 l.33E 00 102.8 107.7 112.5 117.3 122.1 126.8 131.4 136. 0 l.56E 00 l.69E 00 l.78E 00 5.0E-02 5. 0 E-02 4.5E-02 4.lE-02 3.SE-02 3.9E-02 3.SE-02 3.ae-02 4.lE-02 4.4E-02 4.4E-02 5.lE-02 5. 5E-02 5. 7E-02 5.8E-u2 145. 0 l.82E 0 0 l.82E 00 l.72E 00 149.5 l .61E 00 5.9E-02 5.7E-02 5.5E-02 153.'i l.4uE 00 5.lE-02 140.5 50.5 56.0 12.1 77.3 82.5 87.7 92.8 c; 7. 8 102.8 107.7 112.5 117.3 122.l 126.8 131.4 136.0 140.5 145.0 8.32E 00 2.45E oo l.94E 00 1. 78E 00 l.75E 00 l.54E 00 l.31E 00 l.20 E 00 l.04E 00 7.52E-Ol 7.76E-Ol 7.23E-Ol 7.96E-Ol 8.99E-Ol l.03E 00 l.17E 00 l.34E 00 1.48E oo l.56E 0 0 l.7E 00 l .4E uu l.2E-Ol 5.7E-U2 4.9E-02 4.6E-02 4.6E-0 2 4.3E-02 3.9E-02 3.7E-0 2 3.4E-02 2.ae-02 2.9E-02 2.BE-CJ2 3.3E-0 2 3.6E-02 3.9E-02 4.3E- 0 2 4.7E-02 5.0E-02 5.2E-0 2 5.SE-02 149.5 l.69E 00 l.55E 00 1.59E 00 l. 35E 00 l.llE 00 5.3E-02 5.4E- 0 2 4.9E-02 4.4E- 0 2 153.9 9. 70E-Ol 4.l E- 0 2 166 TAE!LE B69 TABLE B7U 12C(3t-E,Pll4N 12C ( 3HE ,p) l4N BEAM ENERGY = 13.0 MEV EX. ENERGY = s.11 MEV BEAM ENERGY = 13.5 ME\/ ------------------------ = 5.1 l EX. ENERGY ...._ . ANGLE dcr1dw ERROR ANGLE (MB/ST> (MB/ST> dcr1dw C.t-A. C.M. (MB/ST> 11.4 17.0 8.55E 7.50E 5.l3E 3.46E 3.05E 2.31E 2.1se 2.24E -----------------------22.1 co co 00 28.3 00 33.9 00 39.5 00 45.0 00 co 50.5 56.0 l.91E 00 61.4 1. 79E 00 66.8 l.62E 00 72.1 l.32E 00 77.3 l.04E 00 e2.s 9.63E-Ol 87.7 8.51E-Ol 92.8 8.45E-Ol S7.8 . 9.55E-Ol 102.8 l.lCE 0 0 1C7.7 l.2<;E 00 112.5 1. 60E 00 117.3 l .66E 0 0 122.l 1. 81E. 00 126.8 1. SSE 00 131.4 1. <;OE 00 136.0 l.~5E 00 140.5 l.50E 00 145.0 l.51E uo 149.5 l.21E 00 1 ~3.9 9.52E-Ol l.7E 00 l.5E 00 l .lE-01 9.4E-02 9.0E-02 7.5E-02 7.2E-0G 7.5E-02 6.8E-02 6.6E-02 6.2.E-02 5.SE-02 4.SE- 0 2 4.6E-02 4.3E-02 4.SE-02 4.6E-02 5.lE-02 5.7E-02 6.6E-02 6.7E-02 1.2e-02 7.5E-02 7.6E-02 7.0E-02 6.7E-02 6. SE-02 5.9E-02 5.2E-0 2 ME\/ ____ _____ _____________ ERROR (MB/STl -----------------------6.8 11.3 17.0 22..1 28.3 33.9 39.5 45.0 50.5 56.0 61.4 66.7 12.1 77.3 82.5 87.7 c;2. 8 97.8 102.8 1C7.7 112.S 117.3 122.l 126.7 131.4 136.0 140.5 l.12E 01 00 8.72E 7. l 9E 5.28E 3.98E 2. 55E 00 00 00 00 l.97E 00 l.83E 00 l.87E 00 l.76E 00 l.64E 00 l.45E 00 l.23E OU 8.90E-Ol 6.73E-Ol 5.75E-Ol 6.l9E-Ol 7 •.60E-Ol 9.69E-Ol l.l8E 00 l.42E 00 l.53E 00 l.68E 00 l.74E 00 l.65E 00 l.o8E 00 l.51E 00 3.4E 00 l.7E CO l.4E 00 l.2E-Ol l.OE-01 8.0E-02 6.BE-02 6.4E-U2 6.5E-02 6.3E-02 6.lE-02 5.7E-02 5.2E-U2 4.2E-02 3.6E-0 2 3.3E-02 3.oE-02 4. 0 E- IJ 2 4.8E-u2 5.4E-02 6.2E-02 6.S E-02 6.9E-0 2 7.2E-02 7.0E-02 7.2E-C2 6.7E-02 TABLE TABLE 672 871 BEAM ENERGY = 14.0 MEV EX. ENERGY = 5.1 l MEV 12C(3t-E,Pll4N 12Cl3HE,Pll4N BEAM ENERGY = 14.5 MEV ex. ENERGY = s.11 ME\/ ----------------------- ------------------------ ANGLE dcr1dw C.M. (MB/STJ 11.3 17.o 22.1 2a.3 33.9 3g.5 45.0 50.5 56.0 61.4 66.7 12.1 77.3 82.5 87.7 92.8 6.56E 00 5.91E 00 3.-;6e 00 2.58E 00 2.14E 00 l.68E 00 l.6eE 00 1. 7 7f; 00 l.63E 00 l.51E 00 1.3 7E 00 l.09E 00 8.26E-Ol 6.l7E-Ol 5.44E-Ol 5.34E-Ol 6.55E-Ol 8. OlE-01 9.98E-Ol 1.03E 00 l. 28E 00 l.35E 00 l.56E <'0 l.51E 00 l.42E 00 ERROR Ot8/ST > ------------------------ s1. a 102.8 l c 7. 7 112.5 117.3 122.1 · 126.7 131.4 l.36.0 140. 5 . l.28E Q() 145.0 l.15E 00 149.5 l.C9E 00 1 53.'1 4.lSE-01 l.3E 00 l.2E 00 1.1e-01 8.lE-02 (MB/STl 11.2 4.83E 00 3.95E 00 16.8 22.1 28.3 9.4E-02 33.9 39.5 3.3E-02 3.8E-02 4.3 E-02 5.0E-02 5.0E-02 5.9E-02 6. lE-02 7.0E-02 6.7E-02 6. 5E-02 6.0E-02 5.7E-02 5.6E-02 4. 5E-02 ERROR (MB/ST l ------------------------ 6.3E-02 6.2E-02 6.5E-02 6.2E-02 5.9E-02 5.6E-02 4.9E-02 4.2e-.0 2 3 .se-02 3.3E-02 dcr1 dcu ANGLE C.M. 45.0 50.5 56.0 61.4 66.7 72.l 71.3 S2.5 87.7 '72.8 97.8 102.8 1C7.7 112.5 117.3 122.1 126.7 131.4 136.0 140.5 145.0 149.5 153.9 2.75E 00 2.19E 00 l.83E 00 l.64E 00 l.73E 00 l.98E 00 2.02e 00 l.83E 00 l.bOE 00 l.27E 00 9.30E-Ol 6.85E-Ol 5.77E-Ol 5.lOE-01 6.20E-Ol 7.28E-Ol 9. SOE-01 l .09E 00 1. 27E 00 l.41E 00 l.39E 00 l.40E 00 l. 41E 00 l.l8E 00 l.06E 00 9.42 E-Ol 7.07 E-Ol 9.7E-Ol 7.9E-Ol l.4E-Ol l.2E-Ol l.OE-01 9.2E-0 2 9.6E-u2 1.lE-01 l.lE-01 l.OE-01 9.2E-02 7.6E-02 6.0E-02 4.SE-02 4.2E-02 3.9E-02 4.5E-0 2 5.lE-02 6.3E-02 7 . OE-0 2 8.0E-02 8. 7E-02 8.7E-02 8.6E-02 8. 7E-0 2 7.7E-U2 1.it:-02 6.SE- 0 2 5.3E-02 168 TABLE 873 TABLE B14 12CC31-iE,Pll4N BEAM ENERGY = 15.0 MEV EX. ENERGY = 5.11 MEV 12C( 3HE,Pll4N BEAM ENERGY = 15.5 MEV - ______ _____ , ANGLE C.M. 11.3 17.0 22.1 28.3 33. <3 39. 5 45.0 50.5 56. 0 ~l.4 66.7 72.l 77.3 82.5 S7.7 92.8 97.8 102.8 lG7.7 112.5 117.3 122.1 126.7 131.4 136.() 140 .5 145.0 149.5 1 53. 9" EX. ENERGY = 5.11 MEV --------~...,,-- dCT1dw ERROR CMB/ST> tMB/STl ANGLE C.M. 4.26E-Ol 4.G8E 00 8.3E-Ol a.2e-01 6.8 5.85E 00 l.8E 0 0 11.3 4.89E 00 4.48E 00 9.8E-Ol 9.0E-01 3.44E 00 l.4E-Ol 2.67E 2.30E 2.23E 2.29E 2.26E l.2E-Ol 5.9E-02 5.9E-02 6.0E-02 5.9E-0 2 5.6E-02 3.22E 00 2.16E 00 l.67E l.68E l.78E l.91E l.85E l.65E 1.34E 00 00 00 00 00 00 00 9.97E-Ol 7.78E-Ol 5.71E-Ol 4.47E-Ol 3.<;6E-Ol 5.0lE-01 6.22E-Ol 7.38E-Ol 8.31E-Ol 9.44E-Ol 9.24E-Ol 9.38E-Ol 9.37E-Ol 8.65E-Ol 7.20E-Ol l.3E-Ol 9.7E-0 2 s.1e-02 4.SE-02 s.oe-02 5.JE-02 s.2e-02 4. ae-02 4.3E-02 3.6E-02 3.lE-02 2. 6E-02 2.2e-02 2.1e-02 2.4E-02 87.7 92.8 2.1e-02 3.lE-02 c;1.a 102.a 3.3E-02 107.7 3.6E-02 112.5 117 .3 122.0 126.7 131.4 136.0 140.5 145.0 149.5 153.9 3.6E-02 3.7E-02 3. 7E-02 3.SE-02 3.2E-02 3.lE-02 5.78E-Ol 2.9E-02 4. 81E-Ol · 2.6E-02 6.73E-Ol 17.0 22.1 28.3 33.9 39.5 45.0 50.5 56.0 61.4 66.7 12.0 77.3 82.5 dCT1dw (MB/STl 00 00 00 oo 00 2.01e oo l.69E 00 l.47E 00 1. 0 7E 00 7.66E-Ol 5.79E-Ol 5.21E-Ol 5.15E-Ol ERROR (MB/ST) 4.9E-02 4.6E-0 2 3.ae-02 3.lE-02 2.7E-02 2.3E- 02 5.68E-Ol 2.3E-0 2 2.5e-02 6.33E-Ol 7.0lE-()1 2.bE-02 2.ae- 0 2 7.51E-Ol 2.9E-02 3.0E-02 7.57E-Ol 7.97E-Ol 7.41E-Ol 6.65E-Ol 6.49E-Ol 6.02E-Ol 5.2o e -01 3.lE-02 3.0E-02 2.9E-0 2 2.ae-02 2.7E-02 4.93E-Ol 2.6E-0 2 2.s e - 0 2 4.80E-Ol 2. 5E - 0 2 TABLE 875 TABLE 876 12C ( 3rE ,p H4N 12C(3HE,PJl4N BEAM ENERGY :: 16. 0 MEV EX. ENERGY ::: s.11 MEV ____________________ ...,_ = 16.5 MEV ex. ENERGY = s.11 MEV BEAM ENERGY ~------------ do-1dw ERA OR ANGLE __________________ ...._ U4B/ST) C.M. (MB/STl ____ ANGLE C.M. ...... ---------- dcr1dw ERROR (MB/ST) (MB/ STJ --~~--~-~~-----~~~------ 11.3 4.02E 00 11.3 .3 .46E co a.oe-01 17.0 22.1 28.3 33.9 6.9E-Ol 17.0 2.75E 00 2.41E 00 i.2e-01 l.lE-01 l . OE-01 6.7E-02 3<J.5 45.0 50.5 56.Q cl.4 66.7 2.23t 00 2.37E 00 2.44E 00 2.34E 00 2.16E 00 l .6 7E 00 l .20E 00 12.0 77.3 82.5 9. 55E-Ol S7. 7 6.20E-Ol 92.7 S7.8 102.7 107.7 112.5 117.3 122.U 126.7 131.4 136.0 140.5 145.0 149.5 1~3.9 7 .65E-Ol 5.S6E-Ol 5.41E-Ol 5.87E-Ol 6. llf-01 6.20E-Ol 3.49E 00 3.02E 00 6.0E-01 22.1 2.olE 00 7.SE-02 28.3 2.51E 00 2.30E 00 1.ae-02 7.5E-02 7.6E-02 6.9E-02 33.9 39.4 45.0 o.1e-02 50.5 6.4E-02 55.9 61.4 66.7 12.0 5.4E-02 4.4E-02 3.9E-02 3.4E-02 2.9E-02 .3 .oe-02 2.1e-02 2.9E-02 3.0E-02 77.3 82.5 87.7 c;2.1 c;1.a 102.7 2.34E 00 2.37E 00 7 .6E-<H 1.1e-oz l.20E 00 7.6E-02 6.9E-02 6.2E-02 5.lE-02 9.17E-Ol 6.76E-Ol 6.39E-Ol 4.76E-Ol 3.7E-02 3.7E-02 3.lE-02 2.2ae 00 l.96E 00 l.63E 00 s.ooe-01 s.s1e-01 5.54E-Ol 5.96E-Ol 4.5E-02 3.5E-02 3.SE-02 3.4E-02 3.6E-02 3.6E-02 3.SE-02 3.5E-02 3.6E-OZ 3.SE-02 3.6E-02 3. lE-02 2.9E-02 107. 7 112.5 5.59E-Ol s.ase-01 2.9E-02 117.3 5.l 7E-Ol 4.S3E-Ol 5.59E-Cl 6.59E-Ol 6.36E-Ol 6.22E-Ol 6.21E-Ol 5.52E-01 2.ae-02 122.0 2.ae-02 126.7 131.4 5.48E-Ol 5. 53E-Ol 5.47E-Ol s.2oe-01 135.9 140.5 145.0 5.SOE-01 3.7E-02 6.0lE-01 3.9E-02 3.4E-02 3.9E-C2 5.64E:-Ol 3.oe-02 3.3E-02 3.3E-02 3.3E-02 3.3E-02 s.oe-02 149.'t 153.9 5.40E-Ol 4.84E-Ol 6.09E-01 170 TABLE 877 TABLE 878 12C<31-E,PH4N 12C(3HE,Pj14N SEAM ENERGY = 17.5 MEV EX. ENERGY = 5.11 MEV BEAM ENERGY = 17.0 MEV EX. ENERGY = 5.11 MEV A l\Gl E C.M. dO" I dw (MB/ST> 6.8 ll.3 ERROR (MS/STl ANGLE dO"tdW C.M. (MB/ST) ERROR (MB/ST) 3.57E 00 l.lE 00 6.8 11.3 17.0 2.96E 2.91E 00 oo 2.aoe oo 8.9E-Ol 5.6E-Ol 4.4E- Ol 33.9 2.19E 00 l.99E 00 l.78E 00 l.93E oo 39.4 2.02E 00 17.0 2.81E 00 5.9E-Ol 5.bE-01 22.1 2.42E 00 l .OE-01 28.3 2.C8E 00 2.06E 00 7.lE-02 7.lE-02 7.4E-02 7. 7E-02 7.7E-02 33.9 39.4 ~5.0 su.s 55.9 61.4 66.7 72.0 77.3 82. 5 87.7 92.7 S7.8 102.7 2.20E 2.3lE 2. 2 SE 1.80£ l.48E 00 00 00 00 00 l.llE 00 9.l3E-Ol 6.3 0E-Ol 5.64E-Ol 5.44E-Ol 5.06E-Ol 5.79E-Ol 5.30E-Ol 107.7 5.22E-Ol 112.5 117.3 122.0 126.7 131.4 5.25E-Ol 135.c; 5.CZE-01 4. S 5E-Ol 4.S3E-Ol 5. 6 5E-Ol 5.56E-Ol 5.79E-Ol 140.5 145.o 149.4 6.02E-Ol 1~3.9 5. 65E-~~ 1 5.67E-Ol 6. 7E-02 6. 0 E-02 s.1e-02 4.6E-02 3.7E-02 3. SE-02 3 .se-02 3.4E-02 3. ae-02 3. 6E-02 3.6E-02 3.6E-02 3.6E-02 3 .6E-02 3.6E-02 4.0E-02 4.0E-02 4. lE-02 4.2E-02 4.lE-02 4.lE-0-2 22.6 28.3 l.12E 00 50.5 l.93E 00 55.9 l.b4E oo 61.4 l.44E 00 66.7 9.76E-Ol 72.0 7.56E-Ol 77.3 6.60E-01 82.5 · 5.40E-Ol 87.7 5.15E-Ol c;z.1 4.46E-Ol ~7.8 4.39E-Ol 102.7 4.29E-Ol 107.7 4.SOE-01 112.5 4.87E-Ol 117.3 4.72E-Ol 122.0 4.77E-Ol 126.7 4.76E-Ol 131.4 5.l4E-Ol 45.0 135.9 5.2Uf:-Ol l't0.5 145.0 149.4 6.23E-Ol 5.39E-Ol 5.18E-Ol 153.9 4.69E:-Ol 5. OE-02 5.7E-02 6.7E-02 6.4E-02 7 .1E-CJ 2 6.SE-02 6.3E-02 5.BE-02 4.6E-02 4.0E-02 3.7E-02 3.3E-u2 3. 3E-02 3.0E-02 3.3E-02 3.3E-02 3.3E-02 3.5£::-02 3.SE-1)2 3.6E-02 3.6E-02 3.8E-U2 3.8E-02 4.3~-02 4.uc:-02 3.BE-02 3.7E- 0 2 171 TABLE 879 12C(3t-E,PH4N HEAM ENERGY - 18.0 MEV EX. ENERGY ~ 5.11 ~EV ANGLE C.M. d <rl dw (MB/SH (MB/ST> 6.8 11.3 3.19E 00 2.62E 00 9.6E-Ol s.2e-01 17.o 22.6 2.40E 00 4.SE-01 l.78E CO l.58E uO l.OE-01 5.9E-02 6.0E-02 6. 0 E-0 2 28.3 33.9 l.64E 00 l.62E l.66E l.SlE l.41E 00 00 00 OC ERROR .39. 4 45.0 50.5 55.9 61.4 l.l2E 00 4.SE-02 66.7 8.26E-Ol 4.lE-0 2 7. 56E-Ol 3.9E-02 12 .u 77.3 82.5 f:.7.6 92.7 c; 7. 8 102.7 lC7.6 112.5 117.3 122.0 126.7 l.H.4 135.9 140.5 14 5 . 0 1 4 S.4 15 3. 9 5.52E-Ol 5.36E-Ol 3.SSE-01 3.36E-Ol 3.67E-Ol 4.02E-Ol 4.C3E-Ol 4.49E-Ol 4.41E-Ol 4.64E-Ol 4.39£:-01 4.44E-Ol 5. 00 E-0 1 5.46E-Ol 4.38E-Ol 4.8 DE- C' l 4. 0 5E- Ol 6.lE-02 5.SE-02 5.SE-02 3. 3E-02 3.3E-0 2 2. 7E-02 2.se-02 3 .OE-02 3.lE-02 3 .2e-02 3. 3E-02 3 .4E-02 3.4E-02 3 .4E-02 3.SE-02 3. 7E-0 2 4.0E-02 3.SE-02 3.7 E- 0 2 3. 4 E-02 172 TABLE 680 TABLE B8l 12CC3t-E,PH4N SEAM ENERGY : 12.0 MEV EX. ENERGY = 5.69 MEV 12C(3HE,P)l4N BEAM ENERGY : 12.5 MEV EX. ENERGY = 5.69 MEV Af\Gl E do-I dw ERROR ANGLE do-1dw ERROR C.M. (MB/ST) CMB/ST> C.M. CMB/ST) CMB/ ST J 11.4 17.1 2.3E-Ol 11.4 2.9E-Ol 17.1 1.13E 00 l.52E 00 l.98E 00 3.0E-0 1 2.14E 00 6.9E-02 2.14E 00 5.6E-C2 l.73E 00 4.5E-02 22.a l.15E 00 l.43E 00 l.59E 00 28.4 l.S4E 00 34. 0 3Sl.6 l.73E 00 l.77E 00 45.2 l.73E 00 50.7 56.2 l.39E 00 3.6E-02 4.4E-02 4.7E-02 '4.4E-02 cl.6 l.17E 00 67.0 72.3 l.C4E 00 8.88E-Ol 77.6 82.8 7. 71E-<H 88.0 S3.0 7.0lE-01 4.4E-02 4.lE-02 4.0E-02 3.6E-02 3.4E-02 3.lE-02 2.9E-02 2 .ae-02 2.1e-02 sa.1 7.64E-Ol 7.S8E-Ol 3.2E-02 3.3E-02 1 0 3.0 3.6E-02 4 .OE-02 3.7E-02 3.SE-02 3. 9E-02 4.0E-02 4.0E-02 4.lE-02 4.6E-02 5.uE-02 l.52E CO 7.50E-Ol lGB.O 8.99E-'H 8.75E-Ol 112.a 9.23E-Ol 117.6 9.51E-Ol 122.3 127.o 9.71E-Ol l.G2E 00 9.94E-Ol l.OlE 00 l.23E 0 0 131.6 136.2 l4G.7 145.2 14<i.6 154.0 1. 3 SE CO 22.1 28.4 34.0 39.6 45.2 50.7 56.2 61.6 67.0 72.3 77.6 82.8 87.9 93.0 se.1 103.0 107.9 112.8 117.6 122.3 127.0 131.6 136.2 140.7 145.2 l.58E 00 5.5E-02 149.6 l.82E 00 6.0E- 0 2 154.0 2.ose oo 2.3E-Ol 6.lE-02 5.0E-02 l.36E 00 3.9E-02 1.21E 00 3.7E-02 3.lE-0 2 2.6E-02 8.94E-Ol 7.05E-Ol 6.07E-Ol 5.7UE-Ol 4. 89E-Ol 5.60E-01 5.66E-Ol 5.14E-Ol 6.36E-Ol 5.93E-Ol 5.97E-Ol 5.59E-01 5.85E-Ol 5.42E-Ol 5.60E-Ol 5.97E-Ol 6.32E-Ol 7.33E-Ol 8.75E-Ol 9.85E-Ol 2.4E-02 2.'tE-02 2.2e-02 2.4E-0 2 2.4E- 02 2.6E- 02 2.9E- 2 2.ae-02 2.9E-02 2.ae-02 2.9E-02 2.8e-0 2 2.9E-02 3.0E-02 3.lE-0 2 3.4E-02 3.SE- 0 2 4. lE - 0 2 173 TABLE 682 TABLE 883 12Cl3HE,P)l4N BEAM ENERGY = 13.0 MEV ex. ENERGY - 5.69 MEV 12C(3HE,Pll4N BEAM ENERGY 13.5 MEV EX~ ENERGY = 5.69 MEV ANGLE dO'JdW ERROR ANGLE C.M. IMB/ST) 048/ST > C.M. 11.4 2.26E 00 17.l 2.82E 00 2.4'iE 00 3.7E-Ol 5.6E-01 22.1 28.4 34. 0 39.6 45.2 50. 7 56.2 2.l6E 00 2.11e oo l.78E 00 l.69E 00 6. 9E-02 6.9E-02 6.7E-02 6.3E-02 6. lE-02 l.30E 00 5.3E-02 l.03E 00 4.6E-02 61.6 8.53E-Ol 67. 0 . 6.00E-01 72.3 4.64E-Ol 77.6 4.83E-Ol 82.8 4.92E-Ol 4.lE-02 87.9 S3. 0 sa.o 103.0 107.9 112.8 117.c 122.3 127.0 131.6 136.2 140.7 145.2 149.6 154.0 4.24£-01 4.47E-Ol 3.88E-Ol 4.30E-Ol 3.4E-02 2.9E-02 3.0f-02 3.lE-02 2.9E-02 3.73E-Ol 3.0E-02 2. 7E-02 2.9E-02 2.1e-02 3.f3E-Ol 2.ae-02 3. l 7E-01 2. l 6E-Ol 2. 5E-02 2.1e-02 2.1e-02 2.3E-02 2.lBE-01 2. 4<'E-Ol 2.53E-Ol 2.98E-Ol 3.52E-Ol 4.25E-Ol 4.47 E-Ol 2.3E-02 2.6E-02 2.9E-02 3. 2E-02 3.4E-C2 = 11.4 17.1 22.1 28.4 34.0 39.6 45.1 50.7 56.l 61.6 66.9 72.3 77.5 82.8 87.9 93.0 98.0 103.0 lC.7.9 112.B 117.5 122.3 126.9 131.6 136.1 140.7 d CT/dW (MB/STJ l.57E 00 l.94E 00 2.19E 00 2.30E 00 2.15E 00 l.85E 00 1. 51E 00 l.14E 00 8.79E-Ol 6.73E-Ol 6.02E-Ol 5.12E-Ol 5.04E-Ol 5.26E-Ol ERROR CMS/ST> 3.0E-01 3.9E-Ol l.OE-01 1.1e-oz 7.lE-02 6.5E-02 5. 7E-02 4.BE-02 4.lE-02 3.SE-02 3.3E-02 3.lE-02 3.0E-02 3.3E-02 5.21e~o1 3.lE-02 5.53E-Ol 3.3E-02 5.61E-Dl 3.3E-02 4.69E-Ol 3.lE-02 4.lBE-01 2.9E-02 3.41E-Ol 2. 7E-02 2.64E-Ol 2.3E-0 2 2.67E-Ol 2.4E-02 2.ose-01 2.1e-02 2.12e-01 2.lE-0 2 2.oae-01 2.1e-02 2.s1e-01 · 2.SE-02 174 TABLE 884 TABLE 685 12C ( 311E, P >l4N 12CC3HE,PH4N BEAM ENERGY .:: 14.0 MEV EX. ENERGY = 5.69 MEV BEAM ENERGY = 14.5 MEY EX. ENERGY = 5.69 ME~ -·----------------------- ----------~------------- ANGLE C.M. dCTtdW (MB/ST> ERROR ANGLE (MB/ST) C.M. --~------------------- 11.4 17.l 28.4 34.0 39.6 45.1 50.1 l .25E 00 3.16E 00 2.11e 00 2. 09E 00 1. 75E 00 l.63E 00 l.33E 00 1.09E 00 56.l 9.33E-Ol 61.6 66.9 8.46E-Ol 1. 33E-0 l 7.28E-Ol 7.20E-Ol 6.46E-Ol 6.l5E-Ol 5.27E-Ol 5.09E-Ol 4.55E-Ol 4.24E-Ol 3. 50E-Ol 3.17E-Ol 22.1 72.3 11.5 82. 7 67.9 S3.0 98.0 103.0 11J7.9 112.7 117.5 122. 3 126.9 131.6 136.l 140.7 145.l 3.65E-Ol 149.6 5.59E-Ol 5.l9E-Ol 154.0 3.90E-Ol 3.81E-Ol 4.31E-Ol 4.39E-Ol 5.44E-~l 2.se-01 6.3E-Ol 1.oe-02 7.lE-02 6.4E-02 6.lE-02 dCTtdGJ (MB/ST) -------~-------~-------- 11.4 16.8 22.1 28.4 34.0 3'1.6 l.61E 00 l.55E 00 l.26E 00 1.24E 00 l.05E 00 l.04E 00 l.03E 00 3.ze-01 3.lE-01 7.3E-02 7.3E-02 1.2e-02 1 .oe-02 6.3E-02 6.4E-02 6.ZE-02 6.9E-02 5.8E-U2 5.4E-02 't5.l 4.SE-02 lt.3E-02 4.lE-02 50.6 i.ose oo 56.1 61.5 9.88E-Ol l.13E 00 3. 8E-02 66.9 3.SE-02 3.ae-02 3.6E-02 3. 6E-02 3.2E-02 3.2E-02 3.lE-02 3.2E-02 2. 7E-02 2.6f-02 2.se-02 3.lE-02 12.2 3.0E-02 3. 2E-02 3.2E-02 3.7E-02 3.SE-02 5. lE-02 ERROR CMB/ ST> 77.5 82.7 87.9 93.0 98.0 103 .o 107.9 112.7 117.5 122.2 126.9 131.6 136.l 140.6 145.l 149.6 154.0 9.02E-Ol 8.06E-Ol 1.a2e-01 6.84E-Ol 6.44E-Ol 5.37E-Ol 4.67E-Ol 3.98E-Ol 3.98E-Ol 3.23E-Ol 3.71E-Ol 4.59E-Ol 4.33E-Ol 4.87E-Ol 4.l2E-Ol 4.97E-Ol 4.84E-Ol 4.69E-Ol 4.60E-Ol 5.3E-02 5.3E-02 4.SE-02 4.6E-02 4.0E-02 3.7E-02 3.3E-02 3.3E-02 2.9E-02 3.2E-02 3. 7E-u2 3.6E-02 3.9E-02 3.5E-02 4. lE-02 4.0E-02 3.9E-02 3.9E-02 175 TABLE 886 TABLE 887 12Cl3HE,Pl14N BEAM ENERGY = 15.0 MEV EX. ENERGY = 5.69 MEV 12C(3HE,Pll4N BEAM ENERGY = 15.5 MEV ex. ENERGY = 5.69 MEV ANGLE d<Ttded ERROR ANGLE ERROR (MB/ST) <MB/ST> d<T tdw C.M. C.M. tMB/ST) (MB/ST) 11.4 2.0lE 00 4.0E-01 l.65E 00 3.3E-Ol 6.6E-02 6. 5E-02 3.4E-02 3.2E-02 3.SE-0 ,2 3.ZE-02 3.4E-02 3. 3E-02 3.0E-02 2.ae-02 2.1e-02 11.4 17.1 2.22e oo 1. 82E 00 9.l9E-01 4.4E-Ol 17.1 22.1 28.4 34.0 39.6 45.1 50.6 l.18E 00 l.llE 00 9.76E-Ol 8.98E-Ol l.02E 00 145.l 8.56E-Ol 9.42E-Ol 9.03E-Ol 7.66E-Ol 6.<ilE-01 6.31E-Ol 5.29E-Ol 4.81E-Ol 4.13E-Ol 3.63E-Ol 3.63E-Ol 3.38E-Ol 2.78E-01 2.'i4E-Ol 3.29E-Ol 3.79E-Ol 3.67E-Ol 4.37E-Ol 3.clE-01 4.24E-Ol 149.6 3.SCE-Cl 2.oe-0 2 2.oe-02 1.9E-02 l. 7E-02 i.ae-02 2.oe-02 2.2e-02 2.1e-02 2.4E-02 2 .ze-02 2.4E-02 2.3E-C2 154.0 2.68E-Ol l.9E-02 56.l 61.5 66.9 12.2 77.5 82.7 87.9 93.0 "a.a 1 0 3.0 107.9 112.7 117.5 122.2 126.9 131.5 136.l 140.6 Z.4E-0 2 2. 2E-02 2.1e-02 22.1 28.4 34.0 39.6 'e5.l 50.6 56.l 61.5 66.9 12.2 77.5 82.7 87.9 c32 .9 <18.0 102.9 107.9 112.7 117.5 122.2 126.9 131.5 136.l 140.6 145.1 149.6 154.0 a.ase-01 7.04E-Ol 6.67E-Ol 7.77E-Ol 8.90E-Ol 7.63E-Ol 8.l6E-Ol 7 .0SE-01 5.42E-Ol 5.64E-Ol 5.30E-Ol 3.20E-Ol z.sae-01 2.01e-01 2.21e-01 2.90E-Ol 2.96E-Ol 3. 70E-Ol 3.6E-Ol s.ae-0 2 5.7E-02 2.se-02 2.se-02 3.0E-02 3.3E-02 3.0E-02 3. lE-02 2.9E-02 2.se-02 2.6E-02 2.se-02 2.1e-02 l.5E-02 l.3E-02 l.4E-02 l.7E-02 l.7E-02 2. OE-02 4.l2E-Ol 2.lE-0 2 4.15E-Ol 4.39E-Ol 4.14E-Ol 2.2e-02 4.0SE-01 4.22e-01 3.98E-Ol 3 .34E-Ol 2.3E-02 2.2E- Q2 2.2e-02 2.3E-02 2.2e-02 2.0E- 0 2 176 TABLE 888 TABLE 889 12C(3t1E,P)l4N BEAM ENERGY = 16.0 MEV EX. ENERGY = 5.69 MEV 12C(3HE,PH4N SEAM ENERGY = 16.5 MEV ex. ENERGY = 5.69 MEV -----------------~------ ANGLE C.M. 11.3 17.l 22.1 28.4 34.0 39.6 45.l 50.6 56.l 61.5 66.9 12.2 77.5 S2.7 87.8 92.9 <;a. o 102.9 107.8 112.7 117. 5 122.2 126.9 131.5 136.l 140.6 145.l 149.6 154.0 dcr1 dw ERROR (M8/STl <MS/ST' l.78E 00 l.51E OC 9.36E-Ol 5.75E-Ol 5.45E-Ol 7.SOE-01 7.S4E-Ol 8.53E-Ol 7.86E-Ol 6.42E-Cl 6 .40E-Ol 4.47E-Ol 3.65E-Ol 3.00E-01 2.S8f-Ol 9.86E-G2 3 .6E-Ol 11.3 3.0E-01 17.1 22.1 28.4 2.53E-Ol 3.27E-Ol 3.l9E-Ol 3.63E-Ol 3.27E-Ol 3.S4E-Ol 3.80E-Ol 3.94E-Ol 2.<;5E-Ol 3.41E-01 4.81E-Ol 3.61E-01 4.24E-Ol 5.5E-02 4.3E-02 4.2E-02 3.2E-02 3.3E-02 3.5E-02 3.3E-02 3.0E-02 3.0E-02 2.4E-02 2.2e-02 2.oe-02 2.oe-02 l.OE-02 l .ae-02 2.1e-02 2.1e-02 2.3.E-02 2.2E-1)2 2 .1te-02 2.4E-02 2.se-02 2.lE-02 2.3E-02 2.ae-02 2.4E-02 2.9E-02 ANGLE C.M. 34.0 39.6 45.l 50.6 56.l 61.5 66.9 12.2 11.s 82. 7 87.8 92.9 98.0 102.9 107.8 112.7 117.5 122.2 126.9 131.5 136.l 140.6 145.l 149.6 154.0 dcr1dw ERROR IMS/ST) CMB/ ST l l.66E 00 1.15E CO 9.lOE-01 5.28E-Ol 6.20E-01 6.8oe-01 7.99E-Ol 8.48E-Ol 8.67E-Ol 7.35E-Ol s. 88E-Ol 5.63E-Ol 4.29E-Ol 3.49E-Ol 3.3E-Ol 2.3E-Ol 3.9E-02 3.0E-02 3.4E-02 3.6E-02 4.0E-02 4.2E-02 4.ze-02 3.9E-C2 3.4E-02 3.4E-02 3.43E-Ol 2.9E-02 2.6E-02 2.se-02 2.6E-02 2.se-02 2.2e-02 2.3E-02 2.1e-02 2.7E-02 4.l7E-Ol 4.06E-Ol 3. oe-02 3.0E-02 3.38E-Ol 2.1e-u2 3.34E-Ol 2.95E-Ol 3.28E-Ol 2.48E-Ol 2. 72E-Ol 3.41E-Ol 4.00E-01 4.lOE-01 4.31E-Ol 3.77E-Ol 4.22E-01 3.0E-02 3.lE-02 3.2E-02 3.0E-02 3.2E-02 177 TABLE 891 TABLE 890 12C(3HE,Pll4N SEAM ENERGY = 17.0 MEV EX. ENERGY : 5.69 MEV 12C(3HE,Pll4N BEAM ENERGY = 17.5 ME~ EX. ENERGY = 5.69 ME~ -----------~----~------- d<TtdJ&L ANGLE C.M. (MB/STJ 11.4 17.l l.14E 00 1. 04E 00 22.1 8. 96E-Ol 2 8.4 34.0 39.6 5.85E-Ol 6.0lE-01 6.72E-Ol 45.1 7.28E-Ol 50.6 8.22E-Ol 56.l 61. 5 66.9 7.28E-Ol 6.97E-Ol 12.2 4.47E-Ol 3.78E-Ol 3.46E-Ol 3.UE-01 2. 52E-Ol 2.81E-Gl 2.65E-Ol 3. 34E-C'1 3.31E-Ol 3.56E-Ol 4. lSE-Cl 4.C5E-Ol 3.78E-Ol 3.73E-Ol 3.29E-Ol 3.41E-Ol 3.84E-Ol 3. 24E-Gl 77.5 a2.1 87.8 92.9 98.0 102.9 107.8 112.7 117.5 122.2 126.9 131.5 136.l 140.6 145.l 149.6 154.0 5.12E-tJl ERROR CMB/ST> ANGLE dCT 1dw C.M. 046/ST) (MB/ ST j 2.2e-01 2.1e-01 it.lE-02 3 .3E-02 3.3E-02 3.6E-02 3.ae-02 4.lE-02 3 .9E-02 11.4 17.0 22.1 28.3 1.43E 00 i.oae oo 8.85E-Ol 6.95E-Ol 6.52E-Ol 6.27E-Ol 6.38E-Ol 6.68E-Ol 6.45E-Ol 2.9E-Ol 2.2E-Ol 3.5E-02 .3.2E-02 3.8E-02 3.2E-02 3.0E-02 2.1e-02 2.7E-02 2.se-02 2.3E-02 2.se-02 34.0 39.5 45.1 50.6 56.l 61.5 66.9 12.2 11.5 82.7 B1. 8 92.9 2.ae-02 97.9 102.9 107.8 112.7 3.0E-02 117.5 3.3E-02 3.3E-02 3.2E-02 3.3E-02 z.5e-02 2.ae-02 3.0E-02 122.2 126.9 131.5 136.l 140.6 3.2E-02 145.l 3 .3E-02 149.5 154.0 3. OE-02 ERROR 3.5E-02 3.4E-02 3.5E-02 3.6E-02 3.6E-02 s.1ae-01 · 3.2E-02 4.13E-Ol 2.se-02 3.99E-01 2.1e-02 3. 36E-Ol 2.se-02 2.60E-Ol 2.2e-02 2.76E-Ol 2.2e-02 2.06E-Ol 2.oe-02 2.l9E-Ol 2.1e-02 2.22e-01 2.3E-02 2.47E-Ol 2.4E-02 3.25E-Ol 2.ae-02 3.72E-Ol 3.lE-02 3.l4E-Ol 2.se-02 3.42E-Ol 3.0E-02 3.32E-Ol 3. 0 E-02 3.35E-Ol 3.0E-02 3.29E-Ol 3.0E-02 3.l9E-01 3.0E-02 3.32E-Ol 3.lE-02 2.ese-01 2.9E-02 178 TABLE 692 12CC3HE,PH4N BEAM ENERGY = 18.0 MEV EX. ENERGY = 5,69 MEV -----------------------Al\GLE dcr1d"' C.M. (MB/STJ 11.4 17.0 22.1 28.3 34.0 39.5 45.l 50.6 56.l 61.5 66.9 l.43E 00 l.35E 00 l.ClE-01 7 .3 OE-01 6.00E-01 6.49E-Ol 6.44E-Ol 5.38E-Ol 5.73E-Ol 4.23E-Ol 4.60E-Ol 3.12E-Ol 2.77E-Ol 2.45E-Ol 2.67E-Ol 2.46E-Ol l.99E-Ol 2.C5E-Ol 2.22e-01 2.35E-Ol 2.cae-01 2.60E-Ol 2.aae-01 3.29E-Ol 2.45E-Ol l.84E-Ol 2.18e-01 2.30E-Ol 2.oae-01 ERROR (MB/ST> ------------------------ 12.2 77.5 e2.1 8 7. 8 <i2.. 9 S7.9 lC2 .9 107.8 112.7 117.5 122.2 126.9 131.5 136.l 140.6 145.l 149.5 154.G 2.9E-Ol 2. 7E-Ol 4.6E-02 3.6E-02 3.2E-02 3.4E-02 3.4E-02 2.9E-02 3.2E-02 2.1e-02 2.ae-02 2.6E-02 2 .3E-02 l.9E-02 2.2e-02 2.1e-o.2 l.9E-02 2.lE-02 3.2e-02 2.3E-02 2.2e-02 2.5E-02 2. 7E-02 2.9E-02 2.se-02 2.1e-02 2.9E-02 2. SE-02 2 .4E-02 179 TABLE 893 TABLE 894 12C(3t1E,Pll4N BEAM ENERGY = 12.0 MEV EX. ENERGY :: 5.83 MEV 12C ( .3HE, P) l 4N BEAM ENERGY = 12.5 MEV ex. ENERGY = 5.83 ME~ - _________ ------------_...,. ANGLE d0'1dw ER~OR C.M. CMB/STl · (MB/STl --------------------------11.4 17.1 22.8 28.4 34.l 39.7 45.2 50.7 56.2 61. 7 67.0 72.4 77.6 82. 'i 88.0 c;3. l 98.l 103.l 1G8.0 112.9 11?.6 122.4 121.0 131.7 136.2 140.7 145.2 149.7 154.l l.51E 00 l.43E 00 l.43E 00 l.44E 00 l.69E 00 l .8oE 00 2.05E 00 2.12E 00 2.14E 00 l.92E 00 l.88E 00 l.65E 00 l.49E 00 l.39E 00 1.36E 00 1.28E 00 l.26E 00 l .l 7E 00 l.24E 00 l.06E 00 l.09E 00 l.C5E 00 l.C3E 00 l. 05E 00 l.13E 00 l.26E 00 l.46E 00 l.66E t)O l.81E 00 3.0E-01 2.9E-Ol 3.4E-02 3.BE-02 5.3E-02 4. 7E-02 4.9E-02 s .1e-02 .5 .2E-02 4.9E-02 4.9E-02 4.5E-02 4.3E-02 4.lE-02 4. lE-02 ------~~---------------- ANGLE C.M. d0'1dw ERROR (MB/Sil (MB/ STJ -------~-----~~--------- 11.4 17.l 22.8 28.4 34.0 39.6 45.2 50.7 56.2 tl.6 67.o 72.4 77.6 82.8 88.0 4.3E-02 «i3.l 4.3E-02 4 .2e-02 4.4E-02 4.0f-02 4. lE-02 4.lE-02 4. lE-02 4.lE-02 4.3E-02 4.7E-02 s.2e-02 5.6E-02 6. oe-02 98.l 103.l 108.0 112.8 117.6 122.4 127.0 131.6 136.2 140.7 145.2 149.6 154.0 l.38E 00 l.51E 00 l.58E 00 1.59E 00 l.94E 00 2.oze 00 2.02e 00 2.l 7E 00 l.97E 00 1. 90E 00 l.78E 00 l.60E 00 l.49E 00 1.36E 00 1.35E 00 l.35E 00 1.34E 00 l.16E 00 l.09E 00 1.03E 00 l.OOE 00 8.99E-Ol a.1oe-01 7.95E-Ol 7.88E-Ol 8.59E-Ol 9.45E-Ol l.15E 0 0 l.29 E 00 2.8e-01 3.0E-01 5.3E-02 5.7E-U2 5.2E-02 5.0E-0 2 4.9E-02 5.2E-02 5.0E-02 4.9E-02 4.7E-02 4.4E-02 4.3E-02 4. 0 E-0 2 4.lE-02 4.lE- 0 2 4.SE-0 2 4.2E- 02 4.lE-02 3.9E-02 4.0E-02 3.7E-0 2 3.SE-02 3.SE-02 3.SE-0 2 3.7E-02 4.0E-02 4.5E- 02 4. 9E - 02 180 TABLE 896 TABLE 895 BEAM Ex. 12C(3t;f ,P)l4N ENERGY :: 13.0 Mf V ENERGY = 5.83 MEV ---------------------ANGLE C.M. da-1dw ERROR (MB/ST) (MS/ST> ·--------------------·-----11.4 17.l 22.s 28.4 34.0 39.6 45.2 50.7 56.2 cl.6 67.o 72.3 77.6 82.S 88.0 93.l 98.l Hl3.l 108.0 112.8 117.6 122.3 127.0 131.6 136.2 140.7 145.2 149.6 154.0 2.0lE 2.19E 2 .5 CE 2.l8E l.85E 2.0lE 2.00E l.'HE l.7SE l.78E 00 00 00 00 00 00 00 00 00 00 l.54E 00 l.45E: l.38E l.45E 1. 46E l.44E 00 o'00° 00 00 l.51E 00 l.52E 00 l.52E 00 l.34E 00 l. 2 CJE Qt) l.23E 00 9.74E-Ol 8.99E-Ol 7.19E-Ol 1;.soe-01 7.45E-Ol 6.78E-Ol 8.l3E-Ol 4.0E-01 4.4E-Ol 6.2E-02 6.6E-02 6.4E-02 6.BE-02 6.9E-02 6. 7E-02 6.4E-02 6.SE-02 6 .oe-02 s.ae-02 5.7E-02 6.oe-02 6.0E-02 6.oe-02 6.lE-02 6.2E-02 6.3E-02 5.9E-02 5.7E-02 5.7E-02 5.0E-02 4. ae-02 4.3&-02 4.4E-02 4.4E-02 4. 2E-02 4.7E-02 l 2C ( 3H E , P ) l-4 N BEAM ENERGY :: 13.5 MEV ex. ENERGY = 5.83 MEV -~----~~~------~-------- da-1dw ERROR (MB/STl .... (MB/ST) 11.4 l.96E 00 17.1 22.a 2.26E 2. C2E 2.0SE 2.11e 2.28E 2.1 7E 2.14E 3.9E-Ol 4. 5E-Ol 6.2E-02 6.6E-02 7.0E-02 7 .4E-02 7.2E-0 2 7.lE-02 6.7E-02 6.7E-02 6.6E-02 6.SE-02 ANGLE ----.----- _.. ____________ C.H. 28.4 34.0 39.6 45.2 50.7 56.2 61.6 67.0 72.3 77.6 82. 8 88.0 'B.l 98.1 103.1 108.0 112.8 117.6 122.3 127.0 131.6 136.2 140.7 00 00 00 00 00 00 00 l.91E 00 l.89E 00 l. 83E 00 l.78E 00 l.79E 00 l.94E 00 2.09E 00 2.29E 00 2.14E 00 2.1ae 00 1. 91E l.69E l.57E l.41E l.26E l.09E l.llE l.02E uo 00 00 00 00 00 00 00 6.5E-02 1.oe-02 7 .3E-02 7.9E-02 7.6E-02 7.9E-02 7.3E-02 6.9E-02 6.6E-u2 6.2E-02 5.9E-02 5.4E-G2 5.6E-02 5.3E-C2 181 TABLE 897 TABLE 898 12Ct3t-'.E,PH4N ENERGY = 14.0 MEV EX. tNERGY = 5.83 MEV BEAM ENERGY = 14.5 MEV EX. ENERGY = 5.83 MEV ------------------~----- ------------------------ BEAM ANGLE C.M. dO';dw ERROR (MB/Sl) (MB/ST) --------------------~-~- 11.4 17.1 22.8 28.4 34.0 39. 6 45.2 50.7 56.2 cl.6 o7.o 72.3 77.6 82.8 87.9 93.0 s e.1 lU3.0 107.9 112.8 117.6 122.3 127.C 131.6 136.2 140.7 145.2 149.6 154.L l.8<7E 0 () l.80E 00 l.86E 00 l.83E co l.92E 00 l.81E 00 l. 78E 0-0 l.76E 00 1. 77E 00 1. 70E Ou l.83E 00 1. 96E 00 2.ooE 00 2.1 OE 00 2.C8E 00 l.92E 00 1. <; 5E 00 l.88E ()0 1.c2E 00 1. 5CE 00 l.46E 00 1. 3 7E 00 l. 5 SE co l.44E 00 l.49E 00 l.49E 00 l .40E 00 l.51E co l.41E 00 3.BE-01 3.6E-Ol 6.4E-02 6. se-02 6.7E-02 12C<3HE,Pll4N ANGLE C.M. d0'1dw ERROR (MB/ST) (MB/51' ~----------------------- 2.ae- 0 1 2.se-01 1.2e-01 28.4 l.41E 00 l.40E 00 l.35E 00 l.49E oo 34.0 1. 55E 00 6.5E-02 39.6 45.2 6.SE-02 6.5E-02 50.7 56.2 6.3E-02 6. 7E-02 1.1e-02 61.6 l .61E 0 0 l .59E 00 l.62E 00 l.47E 00 l.45E 00 l.59E 00 8.8e-02 9. 0 E-0 2 9.0E-02 9.lE-02 8.5E-0 2 8.4E-02 9.lE-02 1~60E 00 9.2E-02 1.2e-02 77.6 l.69E 00 l.84E 00 l.79E 00 l.81E 00 1.77E 00 1.75E 00 l.54E 00 l.42E 00 l.29E 00 1.2 7E 00 l.25E 00 l.32E 00 l.45E 00 l .40E 00 l .45E 00 l.41E 00 l.28E uo 9.6E-02 l.OE-0 1 l.OE-01 i.oe-01 l.OE-0 1 l. OE-01 9.2E-02 8.7t:-02 8.lE-02 8.0E-02 8.0E-02 6.6E-0 2 11.4 17.1 22.1 67.0 72.3 7.lE-02 a2 .a. 87.9 (n.o 7.6E-0 2 7.4E-02 103.0 1.se-02 1. 5E-02 6.SE-02 6.4E-02 6.4E-02 6.2e-02 1.1e-02 6.5E-02 6.7E-0 2 6.6E-02 6.4E-02 6.9E-0 2 9.3E-02 ~8.l 107.9 112.8 117.6 122.3 127.0 131.6 136.2 140.7 145.2 149.6 154.0 8.4E-02 8.3E-02 8.9E-0 2 8.ee-02 9.lE-02 8.9E- t) 2 8.3 E-02 182 TABLE 899 TABLE 8100 12C(3HE,Pll4N ENERGY = 15.0 MEV EX. ENERGY = 5.83 MEV 12C( 3HE,P >14N BEAM ENERGY = 15.5 MEV EX. ENERG¥ = 5.83 MEV ------------------------ -~---------------------- SEAM ANGLE C.M. d0'1 dw (MB/SH 11.4 17.l 22.1 28.4 l.03E 00 1.20E 00 l.25E 00 l.18E 00 1.17E 00 l.12E 00 l.12E 00 l.06E 00 l.03E ' OO 8.91E-Ol ERROR ANGLE dO'tdC&I ERROR CHB/ST> C.H. 018/ST l (MB/ST) 11.4 17.l 22.1 28.4 34.0 39.6 45.2 50.7 56.l 61.6 l.72E 00 l.69E 00 2.0lE 00 l.74E 00 1. 85E -00 l.81E 00 l.63E 00 l .Z. 5E 00 l.OOE 00 q. 39E-Ol 8.55E-Ol 9.88E-Ol l.OlE 00 l.07E 00 l.l3E OU l.54E 00 l.51E 00 l.57E 00 l.39E 00 l.20E 00 l. lOE 00 l.05 E 00 l.llE 00 1.1 OE 00 1.1 OE 00 l.u9E 00 3.4E-Ol 3.4E-Ol 9.5E-02 8.7E-02 5.lE-02 5.lE-02 4.SE-02 4.0E-02 3.6E-02 3.4E-02 3.3E-02 3.6E-02 3.7E-02 3.9E-02 4.2E-02 4.4E-02 -----------------------34.0 39.6 45.2 su.7 56.2 61.6 67.0 72.3 77.6 82.8 87.9 S3.0 98.0 103.0 107.<; 112.8 117.6 122.3 127.0 131.c l.36.2 140. 7 145.2 l 49. 6 154.u 8.56E-Ol 8. 93E-Ol 1. C7E 00 l.23E 00 1.2 9E 00 l.35E 00 l.41E 00 l.33E 00 l.33E 00 l.28E 00 l.20E 00 1.1 SE 00 l.07E 00 l.06E 00 l.C4E 00 l.C4E Ou l.12E 00 l.13E co l.19E 00 2. lE-01 2.4E-Ol 6.9E-02 3.7E-02 3.ae-02 3.7E-02 3.7E-02 3.6E-02 3.6E-02 3.3E-02 3.2E-02 3.3E-02 3.7E-02 4.lE-02 4.lE-02 4.4E-02 4.5E-02 4. 3E-02 4.4E-02 4.3E-02 4.2E-02 4.lE-02 4.0E-02 4.0E-02 4.0E-02 4.lE-02 4.3E-02 ------------------------ 66.9 72.3 77.5 82.8 87.9 'i3.0 98.0 103.0 1C7.9 112.8 4.4E-02 117.5 122.3 126.9 131.6 136.l 140.7 145.2 149.6 4. SE-02 154.0 l .15E 00 l.09E 00 l.12E 00 4.5E-02 4.6E-02 4.3E-02 3.9E-02 3.SE-02 3. 7E-02 3.9E-02 3.9E-02 3.9E-02 3.9E-02 4.lE-02 4.0E-0 2 4.lE-02 183 TABLE BlOl TABLE Bl02 12C(3t;E,P)l4N BEAM ENERGY = 16.0 MEV EX. ENERGY = 5.83 MEV 12C( 3HE, P H4N BEAM ENERGY = 16.5 MEV EX. ENERGY -= 5.83 MEV ________ .., ___ ___-________ .,_ ,.. ------~~--~---~---~~--- ANGLE do-1dw ERROR C.M. CMB/STJ (M8/ST) -----------------------11.4 17.1 22.1 28 .4 34.0 39.6 45.1 50.7 56.l tl.6 66.9 72.3 77.5 82.7 87.9 S3. Q 98.0 103.0 107.9 112.7 117.5 122.3 126.9 131.6 136.l 140.7 145. l 149.6 154.0 l.03E 00 l. SOE GO 1. 48E 00 l.50E 00 l.53E 00 l.C2E 00 9.l2E-Ol 8.0SE-01 7.45E-Ol 7.02E-Ol 6.17E-Ol 7.l7E-Ol a.cae-01 7.61E-Ol 7.46E-Ol 6.SSE-01 5.37E-Ol 3.58E-Ol 3.04E-Ol 3.30E-Ol 3.27E-Ol 3.49E-O 1 4.86E-Ol 6.42E-Ol 6.89E-Ol 7.19E-Ol 6.C7E-Ol 7.43E-Ol 6. 72E-Ol 2.lE-01 3.0E-01 7.4E-02 1.se-02 7.9E-02 3.9E-02 3.6E-02 3.4E-02 3. 2E-02 3.lE-02 2.9E-02 3.2E-02 3.SE-02 3. 5E-02 3.4E-02 3.ZE-02 2.ae-02 2.2E-02 2.0E-02 2.1e-02 2 .2e-02 2.2e-02 2.ae-02 3.3E-02 3.4E-02 3. 5E-02 .3 . 2e-02 3. 7E-02 5. 9E-02 ANGLE C.H. do-1dw (M6/ST> ERROR (MB/ST) ---------~-------------- 11.3 17.l 22.1 28.4 34.0 39.6 45.1 50.7 56.l 61.6 66.9 72.3 11.5 s2.1 87.9 93.0 98.0 103.0 10 7.9 112.7 117.5 122.3 126.9 131.6 136.l 140.7 145.l 149.6 154.0 l.26E 00 l.28E 00 l.35E 00 l.43E ()Q l.33E 00 l.19E 00 9.98E-Ol 8.79E-Ol 6.94E-Ol 6.52E-Ol 6.39E-Ol 6.93E-Ol 1. 62E-01 7.54E-Ol 6.72E-Ol 6.24E-Ol 5.75E-Ol 5.14E-Ol 4.06E-Ol 3. 98E-Ol 4.17E-Ol 4.52E-Ol 5.48E-Ol 6.61E-Ol 7.12E-Ol 6.63 E-Ol 6.89 E-Ol 6.63 E-Ol 5.6lE-Ul 2.7E-Ol 2.6E-Ol 5.lE-02 5.5E-02 5.3E-02 5.0E-02 4.5E-02 4.3E-02 3.7E-02 3.6E-02 3.5E-U2 3.8E-02 4.0E-02 4.lE-02 3.ae-02 3.9E-02 3 .5E-02 3.3E-02 2.9E-02 2.9E-02 3. OE-02 3.2E-IJ2 3.6E-02 4.0E-0 2 4.2E-ll2 4.lE-02 4.2E-0 2 4.lE-02 3. 8E-u2 184 TABLE 8103 TABLE 8104 12C ( 3H: ,p H4N BEAM ENERGY = 17.0 MEV EX. ENERGY = 5.83 MEV Ar-.GL E d0"1dw C.M. (MB/STl 11.4 17.l 22.1 28.4 34.0 39.6 45.1 50.6 1.14E 00 l.30E 00 56.l 61.5 66. <; 12.2 77.5 S2. 7 87.9 93.0 sa.o 103.0 107.9 l.24E 00 l.02E 00 9.49E-Ol 8.92E-Ol 7.85E-Ol 6.53E-Ol 6.02E-Ol 5.65E-Ol 5.S3E-Ol 6.81E-Ol 7.36E-Ol 6.79E-Ol 5.39E-Ol 5.13E-Ol 4.44E-Ol 3.06E-Ol 2.87E-Ol 2.39E-Ol ERROR (MB/STl ANGLE du1dw ERROR C.M. (MB/ST) (MS/ ST l 2.3E-Ol 11.4 17.l 22.1 28.4 l.OOE 00 2.oe-01 l.31E 00 l.04E 00 2.6E-Ol 3.3E-02 4.3E-02 4.6E-02 4.7E-02 4.4E- 02 3.se-02 3.7E-02 2.6E-Ol 5.0E-02 4.6E-02 4.2E-02 4.2E-02 4.0E-02 3.6E-02 3.5E-02 3.4E-02 3.se-oz 3. ae-02 4 .. 0E-02 .3.9E-02 3.SE-02 3.4E-02 3.2E-02 2. 7E-02 117.5 122.2 2.64E-Ol 2 .6E-02 2.3E-02 2.se-02 3.l5E-Ol 2.ae-02 126.9 4.l4E-Ol 4.51E-Ol 3.3E-02 3.5E-02 4.0E-02 4.3E-02 4. lE-02 4.lE-02 3. 8E-02 112.7 131.5 136.l 140.6 5.61E-Ol 6.22E-Ol 145.l 5.6CE-Ol 149.6 154.u 5. 71E-O1 4.97E-Ol 12CC3HE,P)l~N BEAM ENERGY = 17.5 MEV EX. ENERGY = 5.83 MEV lel3E oo 1.oae oo 34.0 39.6 45.l 9.54E-Ol 50.6 7.48E-Ol 56.l 61.5 66.9 6. 77E-Ol 7.llE-01 12.2 77.5 82.7 87.9 c;3.o a. 59E-Ol 6.98E-Ol 6.85E-Ol 7.llE-01 6.72E-Ol 6.lSE-01 5.33E-Ol 98.0 103.0 107.9 4.64E-Ol 117.5 122.2 126.9 131.5 136.l 2.09E-Ol 2.36E-Ol 112.1 140.6 145.l 149.6 154.0 2.79E-Ol 2.74E-Ol 2.2se-01 .3.67E-Ol 4.l4E-Ol 4.39E-Ol 5.0SE-01 5.23E-Ol 4.27E-Ol 4.26E-Ol 3.7E-02 3.8E-02 3.7E-02 3.9E-02 3.SE-02 3.7E-02 3.5E-02 3.4E-02 2.6E-02 2.se-02 2.3E-02 2.2e-02 2.7E-(.l2 3.lE-02 3.4E-02 3.SE-02 3.9E-02 3.9E-02 3.6E-02 3.4E-02 185 TABLE 8105 12C(31-E,PU4N BEAM ENERGY = 18.0 MEV EX. ENERGY = 5.83 MEV AJ\GLE dcr I dw ERROR C.M. CMB/STl (MB/ST) 11. 4 17 .l 22.1 l.€2E 00 3.6E-Ol l.SSE t'O 3.lE-01 l.48E 00 1.24E 00 5 .6E-02 28.4 34.1) 39.6 45.l 50.6 56.l 61.5 66.9 12 .2 77.5 82.7 87.9 92. 9 <; 8 • .Q 102.9 lC7.9 112.7 117.5 122.2 126.9 131.5 136.l 140.6 145.l 149.6 154.u l.lOE CO 9.79E-Ol 8.G6E-Ol 7.C6E-Ol 6.41E-Ol 6.38E-Ol 6.42E-Ol 6.82E-Ol 6.26E-Ol 6.S4E-Ol 5.21E-Ol 4.S6E-Ol 3.88E-Cl 3.03E-Ol .2.68E-Ol 2.78E-Ol 2.34E-Ol 2.25E-01 2.64E-Ol 3.l9E-Ol 4.lOE-~l 4.9E-02 4.6E-02 4.3E-02 3.8E-02 3.4E-02 3.4E-02 3.4E-02 3.SE-02 3.6E-02 3.5f-02 3. 9E-02 3. 2E-02 3.0E-02 3.0E-02 2 .6E-02 2 .se-02 2.6E-02 2.4E-02 2.3E-C2 2 .6E-02 2.9E-02 3.4E-02 4.28E-Ol 3. 5 E-02 4.02E-Ol 3.82E-Cl 3.41E-Ol 3.4E-02 3.3E-02 3. lE-02 186 REFERENCES Ade 67 E. G. Adelberger, California Institute of Technology Thesis, (unpublished) 1967. Ajz 70 F. Ajzenberg-Selove, Nucl. Phys. Al52, 1 (1970). Aus 65 N. Austern, Phys. Rev. lJ.Z, B752 (1965). ADHS 64 N. Austern, R. M. Drisko, E. C. Halbert, and G. R. Satchler, Phys. Rev. ill•. BJ (1964). AM 70 E. G. Adel berger and A. B. McDonald, Nucl. Phys. A.l!!.5., 497 (1970). Bar 69 c. A. Barnes, in Nuclear Isospin edited by J. D. Anderson, s. D. Bloom, J. Cerny and w. w. True. (Academic Press, New York 1969) p. 179. Bas 66 R. H. Bassel, Phys. Rev. 149, 791 (1966). Bay 71 B. F. Bayman, Nucl. Phys. 168, 1 (1971). BZ 66 Gy. Beneze and J. Zimanyi, Nucl. Phys • .§l, 76 (1966). BDS 67 R. H. Bassel, R. M. Drisko and G, R. Satchler. Memorandum to the user of the code 'JULIE'. Oakridge National Laboratory, June, 1966, (unpublished). BPRS 67 D. J. Baugh, G. J. B. Pyle, P. M. Rolph and s. M. Scarrott, Nucl. Phys. A2.,2, 115 (1967). BR 67 R. A. Broglia and C. Riedel, Nucl. Phys. A.2.,g, 145 (1967). CK 65 s. Cohen and D. Kurath, Nucl. Phys. 11, 1 (1965 ) . s. Cohen and D. Kurath, Nucl. Phys. A~,145 CK 70 CM 70 (1970). N. s. Chant and N. F. Mangelson, Nucl. Phys. AJJ±Q., 81 (1970). 187 DDPS 65 J. K. Dickens, R. M. Drisko, F. G. Perey and G. R. Satchler, Phys. Letters .J..5., 337 (1965). DMT 70 o. Drag~, E. Maq~eda and J. Testoni, Comisi~n Nacional de Energia Atomica Argentina, private communication. DR 66 R. M. Drisko and F. Rybicki, Phys. Rev. Letters 16, 275 (1966). For 71 T. De Forest, Nucl. Phys. AlQJ., 237 (1971). FCG 68 D. G. Fleming, J. Cerny and N. K. Glendenning, Phys. Rev. 1§.2, 1153 (1968). FDS 71 J. L. Foster Jr., FGTF 68 H. T. Fortune, T. J. Gray, w. Frost and N. R. Fletcher, Phys. Rev. J.2..1, 1002 (1968). Gle 65 N. K. Glendenning, Phys. Rev. 1J1., Bl02 (1965). GFGH 66 S. Gorodetsky, R. M. Freeman, A. Gallmann, and F. Haas, Phys. Rev. 149, 801 (1966). GRKG 67 E. F. Gibson, B. w. Ridley, J. J. Kraushaar, M. E. Rickey and R. H. Bassel, Phys. Rev. l.5.5., 1194 ( 1967). Hen 69 D. C. Hensley, California Institute of Technology Thesis, (unpublished) 1969. Hod 68 P. E. Hodgson, Adv. in Phys. J.2., 563 (1968). Hus 71 D. Hussain, Nucl. Phys. Al66, 667 (1971). HM 60 s. Hinds and R. Middleton, Proc. Phys. Soc. HMBP 66 C. H. Holbrow, R. Middleton, J. Parks, and J. Bishop, in Nuclear Spin-Parity Assignments. Edited by R. B. Grove and R. L. Robinson (Academic Press, New York, 1966). p. 354. HNB 67 J. C. Hiebert, E. Newman and R. H. Bassel, Phys. Rev. 1.5.!±, 898 (1967). o. Dietzsch and D. Spalding, Nucl. Phys. AlQ.2., 187 (1971). (London) 2.5., 745 (1960). 188 KBDF 64 C. C. Kim, M. Bunch, D. W. Devins and H. H. Forster.Nucl. Phys • .5.§, 32 (1964). Man 67 N. F. Mangelson, (unpublished). Mos 59 M. Moshinsky, Nucl. Phys. 1J., 104 (1959). MR 67 U. s. Mathur and J. R. Rook, Nucl. Phys. A2,1, 305 (1967). Par 68 J. Y. Park, Nucl. Phys. All.l, 433 (1968). PB 63 F. Percy and B. Buck, Nucl. Phys. ,lg, 353 (1963). PS 64 F. G. Perey and D. S. Saxon, Phys. Letters 10, 107 (1964). PTB 60 J. R. Priest, D. J. Tendam and E. Bleuler, Phys. Rev. ll.2., 1295 (1960). Roo 67 J. R. Rook, Nucl. Phys. A92., 217 (1967). RBS 71 A. A. Rush, E. J. Burge and D. A. Smith, Nucl. Phys. AJ...§.2, 378 (1971). RK 71 E. Rost and P. D. Kunz, Nucl. Phys. Al62, Sat 66 G. R. Satchler, Nucl. Phys . .§.5., 273 (1966), Sin 70 J. Singh, Nucl. Phys. AJ..5..5., 44J (1970). SSG 70 G. Scheklinski, U. ._ Strohbusch and B. Goel, Nucl. Phys. Al.5.J., 97 (1970). Tru 63 W. W. True, Phys. Rev . .lJ.Q., 1530 (1963). u. c. Berkeley Thesis (1967) 376 (1971). 60 I. Talmi and I. Unna, Ann. Rev. Nucl. Sci . .1.Q., 353 (1960). WBBB 68 s. I. Warshaw, A. J. Bauffa, J. B. Barengoltz, and M. K. Brussel, Nucl. Phys. Al.fl., 350 (1968). WC 71 H. Wilsch and G. Clausnitzer, Nucl. Phys. Al60, 609 (1971). TU 189 WP 60 ZF 69 E. K. Warburton and w. T. Pinkston, Phys. Rev. 118, 733 (1960). R. W. Zurmfthle and C. M. Fou, Nucl. Phys. Al29, 502 (1969). 190 Table 1 Optical Parameters for 12 c(3He,3He) 12 c elastic scattering The elastic scattering was analysed using the optical potential where V ( r) c = = RC = z1z2 e 2R 3.2 frn. [ r2 3 - R2 c c zlz2 e r 2 } 2 R c ' 191 E v Mev w Mev ~ fm fm 0,798 -7,34 4.96 0.80 " " -9.33 II " -165,1 " " -8.48 " 13.5 -165.0 " " -8.32 " II 14.o -165.1 " II -9,96 II " 14.5 -165.1 " II -9.96 " II 15. 0 -165.1 " II -9,96 " II 15.5 -164.6 II " -8.16 " II 16.o -164.9 It -9.00 II " 16.5 -163.6 " " " -7.26 II II 17.0 -165.0 II " -9,96 " II 17.5 -164.9 II " -9.73 " II 18.0 -164.o " " -7.41 " Mev Rr fm Ar fm 12. 0 -163.8 2,9 12.5 -165,5 13.0 A w . • " II 192 Table 2 Structure factor GNLSJTy for the 12 c(3He,p) 14 reaction, based on True's (Tru 63) and Cohen and Kurath's (CK 65) wave functions, taken from Mangelson (Man 67). , A similar calculation was done by Dragun (DMT 70) using only the Cohen and Kurath wave functions, and it produced very similar results. N 193 LEVEL E True (Tru 63) x Mev J'fT T L N=1 N=2 N= 3 o.o l+ 0 0 0.02 0.11 -0.11 2 -o. 56 0.12 -0.05 -0.35 2.311 o+ 1 0 3,945 l+ 0 4.91 0- 5.10 2- 5.69 5.83 N= 1 N= 2 -0.01 -0.09 0.08 0.54 0 0.06 o.41 2 0.02 0.19 -0.02 0.639 1 0.07 o.64 -0.08 3 0.22 - 0 l -0.01 0.54 0.56 -0.05 3- 0 3 -0.02 0 N= 4 o.42 1 1 Cohen & Kurath (CK 65) -o .01 194 Table 3 The optical-model parameters for 14N(p,p) 14N elastic scattering obtained by fitting the data of Kim et. al. (KBDF 64) at 30.1 Mev and Rush et. al. (RBS 71) at 49.4 Mev. The optical-model parameters for the present DWBA calculation have been extrapolated from these, assuming that the depth of the real potential has a linear dependence on energy. The optical potential has the form U( r) = Vfr(r) + iWf·w(r} + Vc(r) f r = { 1 + exp[ ( r - Rr) /Ar] } fw = where -1 V ( r} c = exp - z1 z2 e 2 2R = zlz2 R c = {<r-Rw)/~}2 r2 { 3 - R2 c 0 ~2 r 2.86 frn. } 195 E v Mev Ar fm w l\v Aw Mev Rr fm Mev fm fm 49.4 32,4 2.86 0.65 -6 2.86 0.65 30.1 42.0 2,86 0.65 -6 2.86 0.65 Figure 1 Schematic Diagram of Scattering Chamber The scattering chamber is made of aluminium. The Faraday cup consists of a small magnet which is biased at -300 volt, and a tantalum cup which is biased at +300 volt. Both the magnet and the tantalum cup are insulated from ground by a layer of nylon lining. t-' '°°' Monitor Counter Aluminum Chamber Woll I · Beam Collimator Beam ~ Entrance Port\ ~ Beam Beam Exit Port j T/ntolum Cup I Beam Direction Defining Slit Target ...-Glass Window I-' '° --.] Faraday Cup With Nylon Insulation Foil Counter Telescope Figure 2 Block Diagram of the Electronic Circuits Most of the electronic components used in this experiment are commercially available._ and , they a~e . A. ~E detector - 200µ Si transmission counter (ORTEC), B. E detector - Jmm Si(Li) counter (Kevex), C. Monitor detector - 2mm Si(Li) counter (Kevex), D. Pre-amp - 'rennel..ec model . lOOA pre-amplifier, E. Attenuator - ORTEC dual decade attenuator, . F. Amp 1-0RTEC model 410 amplifier, G. Amp 2 - Tennelec model TC200 amplifie+ H. SCA - ORTEC model 420 single channel analyser, I. Summing amp - Summing amplifier developed in Kellogg Ra.diatic:m Laboratory,- J. Stretcher - Logic pulse stretcher developed in Kellogg Radiation Laboratory, K. Slow Coinc Gate - ORTEC model 409 slow coincidence and linear gate, L. Amp J - CI model 1416 amplifier, M. Nuclear Data Analyser """ Nuclear Dat.a Mo_del 2200- _028 A 4096-channel analyser, N. RIDL Analyser 1 - RIDL model J4-27 400-channel analyser, and o. RIDL Analyser 2 - RIDL model 34-12 400-channel analyser. 199 .6E PRE-AMP .............. I I - DETECTOR - '- - E ,, /' , , ' AMP AMP 1 2 t SCA ,, ,, STRETCHER STRETCHER ANTI-COIN. NUCLEAR DATA ANALYSER , , 'COIN. SLOW COIN. GATE GATE,' d RIDL ANALYSER -- 1 DETECTOR MONITOR a..-1~ >----1...,. PRE-AMP AMP 1 , f ' . AMP SCA STRETCHER SUMMING ~ , t GATE - ,,,,,,,- : ATTENUATOR: . AMP 3 RIDL .._...... ANALYSE R 2 Figure J Particle Spectra obtained at Elab = 17.0 Mev with the counter telescope 0lab = 45°. Particle identification is described in the text. The proton groups from 12 c(3He,p) 14N are labelled by the excitation energy in 14N. The at proton groups labelled 18 F(0.9J,1.12) are from an oxygen contaminant in the target. N 0 0 2k I I I 12 I j Elastic 3 He from 12C 3 C { 3 He, He) 12 • C ~. c :::i 0 u 1+ 3 He from 11 11 " .I\. I~\ •I 01J 225 Elastic • rJ) ..... /• )..,.. •• I f· .,. l ~ ef I MdJ \ 250 I\ I f \• •e C{2 .0) •••0 • 0 C{O.O) ' f\ er 350 300 16 400 l\) I 6.44 I I .• 400 t- Loo~~ 450 I I ·\1i ·:; !\. .\ '\ 1 ~ ·. Jif lh\. )lf\, I .. ·. fl 5 69 4.91 •• I 7.03 I I i 550 Channel Number 18 F {0.93, 1.1 2) 0.0 . ,~ . ill I 12c (3He, P ) 14N 2.311 6.21 • 1 • •J l i· ~ I 3.945 ·\ iL 0 I ~10 5.83 I 1 650 .I J • 750 0 1--J Figure 4 Excitation function for the 12 c(3He, 3He) 12 c reaction at elab = 45° The data points indicated by K were obtained in this experiment, using a 129 ~~cm 2 thick carbon foil. The data points indicated by o were taken from Fortune et. al. (FGTF 68). This curve was used to normalize the yields of the reactions 12 c(3He,3He) 12 c and 12 c(3He,p) 14N. The resultant differential cross-sections N 0 N are tabulated in Appendix B. 30 . IT t- ~' T -.2 )!( ~ · 20 ...f ,.. l - x This !. +- ~ .!) o ... Work Fortune et. a I. .,. .,. ,.,.. ,.. l ~~ 'fJlt -a 10 .&. E ~ T ~ N 0 I ,. ~ ~ .., 8 Ti --:~ T ~i -£i :.t ~J~ ; .L ~4. ~ . I To T 6 \.....) f ~ T ..:"rf f · ,. ~ I,.• ~o .... 9-r T J.x T 4 1 I 12 l l l 14 l 16 E1ab (MeV) If .a. f ... !, I 18 I Figure 5 Differential cross-section for the 12 c(3He,3He) 12c elastic scattering. The dashed curves are least squares fits to the data points, using Optical Model potentials. The optical parameters are listed in Table 1 and the differential cross-sections are tabulated in Appendix B. 205 L 10 5 • ; 10 ~ 4 "" L 10 5 \, .l IT 104 'fl ~ 15.ri MEV 10 5 t ~ 10 5 ,_ •, ,_ ,.,,, .... " .... ..... ' .' \ 16.r; MEV ;-, \ \ ~ I I' \/ \ • 17 MEV ,.,_• •-•- 17.ri MEV 10 10 3 \.,..-, .. -t ,,,, .,_.· . ,, .. .. ·- . \.. ~ • 'I. • \ 2 • \ \ \\ ' / \ '\ I I I • lriMEV \ ' I/ / ; .... , · 'J • \ \ 18 MEV .... I le • • •' • ' ,, \, 10 \ I .. '.,- , \.< e I e 9'e e I I O. I • \ / 1.0 14.ri MEV ' \. ,I ,,Je . , I (' , 10 ' 1.0 II . / '- • •'•' I / • o"-,-, _,__4.._0..,....''_..__8.._0"'"""--'-----'120° o~--'---4'""'0""""'--'----=s'='o~0 --'--7:120° 8cm 8cm 0 1 206 Figure 6 Energy level diagram of 14N, taken from Ajzenberg-Selove (Ajz 70). 207 I I 5·69 . 4·779 4.91 . 5·83 3 ' 0 1- ' 0 5·11 2 • 0 0, 0 3·95 - 1+, 0 2·31 0+ . 2·921 10·0 1 208 Figure 7 Angular distributions of protons from the reaction 12 c(3He,p) 14N, leading to the ground state of 14N. The differential cross-sections are tabulated in Appendix B. The errors, if not indicated, are smaller than the size of the points. The curves are DWBA calculations using zero-range, local potentials. The optical para- meters are listed in tables 1 and J. shows an L = 2 character. The transition 209 10,------,,...-------.-------.- :-=-~ . .. ... .. ' _.. .-.··· -' .. -. 5 ', ,_,......... -.. :- ..···· • . . . . y----- . . . . ...... f 1·0 -............ :- ' •. } , '..... ..... •_. ' MEV . . , •• , .. -,...... ''•.... ••••• ..... .... ••• ._ ......... , --- ..____ -. - tt t M~~'", l·O ',· ,' ... .... .... t .t, 16 MEV ( ,_,.. -,_ 1·0 -~ J6·5 MEV • -7!" ~ -...... . , .,,- ' ' ......'' ' ' .. .. ... .. . 1 ... , , - '. _• <• ,. -, 1·0 1·0 -.-~ .. '·"' J·O ._. -• .., .J , • • MEV .... ,. • r ...... -- ... 14·5 MEV ', ' ... .... . - -.... ... ... .,! 15 MEV .... '' ... .... ... .. ' ,,.-, ... ':• )ii...... . \' ..... .......... 1·0 '\ ... ... '' .,. ..... ... .... ', .... :c'"-. 18 M EV .' ... -"'., ... ~ ~ , ,.,. ..... .... ... ' ... ......... ":.:.. ...__.... -- . • ;--, . ......' l·Ot~'"'-:_, <-,.~: ~ •·~,· • 14.... 17-5 . - . .·.a- l·Ot,•'-- .-. • •• • • - ', 17 MEV • . : .. t.•_• 0 '..... ..... .. .--... .... - ...........' ... 10 . 0 •• • 13 MEV -;~··.,. -- ·. -~::·~.~- } 1·0 - .... 12 -<;:;-·..,.~ 1·0 15·5 MEV 12 MEV - ' ' ...... - , ',,'· ' 10 10..-------.--------------....- . .. 0·1 ~ \'( ........ . ... .... ... ,. .... ... ' ' ,,... ,. ,. 0·01 0·1 50° 100° 150° 50° Scm 100° 150° 210 Figure 8 Angular distributions of protons from the reaction 12 c(3He,p) 14N, leading to the 2,Jll Mev state of 14N. The transi tic:m shows an L = O character. Refer to Figure 7 for more description. 211 10.-----.....-------.-------.... 10 -- I. -~\ . . \, , . -..\ . ,- ' ' I I \9 ~~ t l·O \ \ \ \ \ / 00 ;,,o. o,_, \- I \ \ \0 \_/ , 00 I f_ \<;? ,,'-',, ' '.p I "-' 1·0 ', 0 \ \ ° 13MEV\ ~ - 1·0 1·0 \ . ... 1 ~ \-g ~\ •1.•• \ - \• b I \9: , t- I 1·0 \'"' ~_ \'f 0 . 1' "" - \ I , .. e • 14·5 MEV ' \ \ , ... , ,' \I ••• Q \ e \ • \ I , - --_Q- I '/• •••••. \ 0 / i - • 1·0 I 0·1 o ,. '' - 0 - \ \ • ' - \ 0 ,, \1 \ 0 0 <) Oo? 1 o \, \ ee \ - ii \ o ,-- 17·5MEv . . -t=: . I oo \ O\ - ~ \ 0 ,..... ~ I ' ~ \ 0 \ y ~ ' ~'••' I • • \ o- ' \-~ . . • le \ ~lo \I I . . , '-1 ~oo- ,/IJO _Q ! ' \ ;' •. \ Ou \ I \ I 1, _ I \ "J:",. ••."t\ 4••!~~MEV ;' \- 15 MEV \ I _ .. , \I ,'' \ \ ••• • 0·1 ' , , o'':xioooo~ ,..,\ , -o o 0 '\!'I \""" I \ , ...... . ' I 'i! coo I \• 14 MEV\ ~ } °' '•\ '-.JI ••• •' \le••., i ••\ I o ..... , o :le 10 ., o~ ~I _! \ I 16 MEV 0 e \ I t I \e I ioo .' ,1dO -\.. ' I ~ • ..... 1·0 1I I \ ie ' I I \ -i\ I \ 0 1 00 \!13·5 MEV \ I _1 o \ ,;- .. ,, ._\ .-.. ,o ' 1° 0 00 ' o \ ' ' - 'CJ..CJ oo \ o I 1·0 e e ', , oqo01 o o \ • ' ·- ...... -..,,•.;·,~···' 0 I 15·5 MEV 1 1 i- I e I ''¥-' 10 'l>l ' ~L ~:o,:oo\:o;;o:::~, I; 1·0 1 0 00ooot~ 0o I ' \ • 0 \ 1 ,.. . ! ~J~:·::·. \ l~:>, .:-~ 0 I \ - I' . I , '' I -£ 10 12 MEV I , .. 0\.. 9 \/ •,.. \ .,e•" ••• •••• I "'\- • '• 7 ~ I €- / I \ ' .J \ I \~ , ~" 12·5 MEV' I 1·0 10P"------.------.....- - - - - - - - oJ:) ,,J:1 0' I '•••r• \I \ I ' \, o ' 0 o \ I \ o ~ I 18 MEV oO\ _no \ ' /'~ oar \,' I I ••'• I ., • .,.. 0·01 \ I 50 ° 100 ° 50 ° 150° 8cm 100° 150 ° 212 Figure 9 Angular distributions of protons £rom the reaction 12 c(3He ,p) 14N, leading to the J.,95-Mev state of 14N. The transition shows an L = 0 character. Refer to Figure 7 for more description. 213 10 ...------.-----....,,....-----,-, ,f. / \ \ ,, t -~o_ 10 •e \ . 12 MEV \ I \ I' \ I \ I I ' e• • \ •• 10t-~~·'·.•· ~ _!~ 10r;~-o .... P - . . \ \ 1.4 MEV • . .,.., " 10 \:' °oO ooo0 " • -'Ii ,' ', ~- 1·0 0 I \!I \ I • \ \ I 19 • I ' \ l"I ' e \ o \ ' ' .., \ I - t oOO 16 MEV ' \•"·· '-l6·5 MEV \ ' \ .... . \ I o\- 1·0 ' - I \ ~I 0 \'JO l • , I 0·1 •• 17·5 MEV ... ' ' o0 o 0 c:Poo~oOo .. -- 0 oOoo..;.: 0 '" r ,... ~ • \ \ 'ri 0 oo - 0 ••• \ )._,.,OOOo oo o'<oO \ \ 00 ' ...... - ' . I \ \ 18MEV \'e••\ '~, \ .•.1..•~··• •·'·\ I 00 I t~ , • ·- ,.,. •e \ ! 10 \ Co o e / ~\ .II • • •••\\. , ,_ -· ...17' MEV - I l• - •'\•,,4"' e •e ,,\..•··ee ,, 15MEV ' o \ <JU ~ -\, 14·5 MEV 0000ooOOoo00 E: 0 -. 10b . . . . . .. 0 o \ oc:o \ 00 \ e•• ', or o c:P \ I I' o booo 9\.. ,.,., \ 0 00 Oo 0 000 l I 00o ,-. . ,.•••~J·. / ' ~ 10 101_ \1.···. \ ~:':· . . \, ····· 0 \ I 14• -\ \~. ' I ~ I 10 Oo , I r r ,' \ ..··.·· / \ \ o o~o I ~ 0 0 o oo 0 13·5 MEV o_ 0 o"'"'0 , ' oooO --uo o , 15·5 MEV \ ,. . . . ' 0 \- o0 ... ~··· , \,' ' '100000 10 \ 12·5MEVoo o 0 oOo0 o ' ' I ........\ ,',...-1'i~ev. .... \ ,! , \ -,0 o . ' ,- , I I ~- I ~ \ \I \o I I -o ' \ • I! '\- • •e • \'J•I•••......\e 101-T-ooooo • ··'~o _ ~ ~ ~~ ....__..... -·, 10.------..------.,-------,r-1 I'-, \ ,, •...::: .... I •eee"lt.f . .•• ••• '' '\ •• 0·01 ._____.....~---~----~ 0° 50° 100° 150° 0·010~o-------5~0-o______1~0-0_ o ______ 15•0-!o 8cm 214 Figure 10 Angular distributions of protons from the reaction 12 c(3He,p) 14N, leading to the 4.91-Mev state in 14N. The transition shows an L = 1 character. Refer to Figure 7 for more description. 215 10.-----.....~-----.------...... . . '··' ..... ....... ' --. ... 12 MEY 10--------....------....------.... .·...--,_ 1·0 .........', ,.... . -..... ,-,. .. .. !_; . .. ........... 1·- . .. ... .·· ... ................ .··' .. } ... '. .. . . . . .. ~ \~~:-:··," ..... \ ... .... . .... 1.. ....... 1 ...... ......... .......... .. 1·0 - - · · .. '-.J.1 ~- •• ~~ !; \, ,. • \.·~:~ ••__ - ~..!.: .... ' 1·0 • ' -...... -. .. ... ' ... .,,,. ... ' ... ,.- . , ' .. . _ _ ,, ·: ...... ~....... ••, .} 10 ....•" 1·0 ~.-.-.-;~~ • \ 1·0 ' ·- ............ -- --~... •• \ ' ' .. , , ,.. .. \ \ ' , ' ..... - ._,_,-.... ' ,~ \ .... ·~. ' '\. \:. ' 17 MEY \ ;;._ .. -.~. 1·0 1·0 ,,, ...., ,..- .. , \ /' ',, ~. ... ., ,' .. _.", •••••a '' '.~.. \ 1·0 17·5 MEV ' ,."<---.. :, \,_,... ...' -- ...... '' MEY \ . ',_ ..... --~·: ' 0·1 '. , - ' ', ' ...... " , - ... ' ' .. .' I . ••••• '' '' 0·01..______..__________ ~ ,.. ..______.. ' .... 0·1._______._______ 0° 50° 100° 150° \ ' ········•· 18 MEY ...., ..·.··. ' , . '. -~= MEV ' , ,• , , ......., 15 \ ... . _ .,' 14·5 ' 16·5 MEY\\••• • "' - .. , \ ~~ \ ' ,_, ,. • 1. \ 14 MEY ' .......••••••••• ' • '. - 13·5 MEY \••• 15·5 MEV •'~ ' .... \ ' 16 MEV '.\ ........... _,•' 1·0 } 13 MEV •- 1·0 12·5 MEY • •.at ••••• • •\:•·.·,,.-, ,...,.,..," . ...... \ ' -• l·O ~, 0° Scm 50° 100° 150° 216 Figure 11 Angular distributions of protons from the reaction 12 c(3He,p) 14N, leading to the 5.11-Mev state in 14N. The transition shows an L =1 character. Refer to Figure 7 for more description. 217 100--------------..........----......... 10 .- 10 ='~ .. .. ''--- ..... •. .... .. • "; - .:~. 12 MEV ... \·.' \ .. --' ·' .... \ ..._.. ... 1+!--·.. 15·5 MEV ,.' ... ,,.-, ..... ' ..,.. ' ... ... . . . .. lOt - l . , _ , \ , _ . , ' ---- ! •. . .'.', t \. _, \,' 1. . ·. . · ·. 't t -· ..... - - ' ,_, :,.... .... ' ', 101;-...... , ... 10 ' :~, -- -- . ___ , .E01-cn 0 - .- --;!.. 12·5 .~~~. •• ~-i· ... , .. , '".,, -~" ..... ...... • 1 .... --... ' ' ···.:~, . .... .... _,,,, --, 'ta. .. ..-.-.,'(• ''' 13MEV ' .... -- \ - .; -~ .. _---, .... • ' 10 ...::.~, ~' - "' \ -=~.. .. ..-.... ' ; , ~"9- •• '' ....... . . ' . ".-, 14·5MEV '' ~, • ',·,• \ '' ' .... , 1·0 100° -~ ', \ .... \ ', , ~. \• • \ \ .............. 17·5 MEV '•' \ \ ',,' , ,--, ' \ \ '· .. ....... . ... 18 MEV \ ,, ..... .. 15 MEV ,.-\ \ , ,' '~, • •• • •,!?. ~E~ .. .'::. • ' ... _, ~, '' ' .-..-"'. -. .,.............,. .... ' '.\ ..,, ~.. ' ' 50° 10 \' ' ,., ,•/· • ..=- ......., /~... ,,.. ·'· \ 10 14 MEV ... \... 10 ' ',_ , .. f,. •I>,., ,-, •:-- 1·0 -.,'. 16·5 MEV \ -~-:.-..-·.... ······ ', .................... . \• ,,...; ...... ,: • \ \ ~ 13·5MEV 10 \ 10 ' , 16 MEV """~···~~,. ,..1 ••••••• ' ,_ . ' .····,--~·.· .. ' ..... , , ' .:..; .... - ' '· • .,,.,, .. , ' ...... ' ', ,_;' \ ' \ \ 0·1 9cm , ... - .... , '' ' \ ,_, I 50° 150° ,..., , , 100° 150° 218 Figure 12 Angular distributions of protons from the reaction 12 c(3He,p) 14N, leading to the 5.69-Mev state in 14N. The transition has an L = l character. Refer to Figure 7 for more description. 219 10.-------.-----~------...."""" --------i--------.-------.... 10 .... .. 1·0 .,.,.-- -__.....,., 1·0 .,. .. - .... -::: •• ~ .... ., -·----- ..... 12 MEV .,... . •.... •••• '-t··· ' ...," .,., __ -.--------;, -. t 1·0 -· . 15·5 MEV ., --.- -; .-.. ..... ' ' ..' ' .'·'~. ·- ~ .... ;(' ... ,,-=~~ . ,.. ..... ,,. - .. "..... . 12·5 MEV •\ ,_ .... ' .. .', ' ' ; ' s,.-; .. ~-; ... .... ' ... _' --..-. ' ,, 13 MEV .... ... .- -·- - .-..- . • - ', ... ' ' 13·5 -,. "' .... ' ''.,, ""•.. ., .... ... 1·0 ... ------.#··' ..' ' -• . . ,•- -·.,,,..-, l·Ot--· ... '.' ' ... ,.... --... ' ' ... , . 1·0 ... ...·.,' --. .•' !. ....-:., '. •/' 0·1 ' .·.-.-- 1·0 ,-.. - 1·0 1·0 MEV ·~' , 14 MEV 1·0 \ "\ 15 MEV -., .. ,-·. ....... --' ... 14·5 MEV ) '.. -·-... -; _ ·'.,• ....-, ,- -... ,- . '..... .. - ' - - ., - - .....-, .-; - \ 0 ·1 ~- ---....... ! .. -- - ' • -; ... ., - ~~ • I 0·01 ... ; ~~ 50° 100° 150° 50° 8cm 100° 150° 220 Figure lJ Angular distributions of protons from the reaction 12 c(3He,p) 14N, leading to the 5.8J-Mev state of 14N. The solid curves correspond to an L = 3 fit. Refer to Figure 7 for more descrippion. 221 10.-------.------------------ ' ' '..... ' -•••• .. '... - -- ..s.:-.. '' 1·0 -. .- ' '~ ' • ,_. "'··~.......! .... ~~"", ' ... 12·5 MEV 13 MEV _................ --............. ---- ........ . ' ::) - ••• 13·5 MEV ~ -.... '...,,' .,__ ....... ......., ... 14 MEV } '' -- ',, .. ~~.. ..... _, ' ••• ••J-..: ..:- -- ;1• •: ,. .... ····· .. ····· } .. '' - .... 1·0 1·0 ..... ·-·· ......... , ' ··,--- ... 1·0 l·O 15·5 MEV .;• ....--··••-............ ! ........ . ~ -; 1·0 1·0 ' .--- '..•. ,.'. ··"'·":-e•···· ...... ......... ' .. ~...... 1·0 .01E (/) --,, 12 MEV ..- . •. . ,. •. --· .. . 1-• •.:' ... 1 ·. . .... l·O 10------------------------..... ' 14·5 MEV ,. - ,A ... ;'\.... ' .......... ... .,..•-• .... • - '' . . _ ... - '' .. , : _.... •• ~- ....., ) "~ .... ..... "" ...... O· l MEV __.- .... . ' C.•,••• 15 MEV ;•· -- ..... ..........,, ........', ... _ -- . • 18 •.•• ..... 0·1 0·01 50° 100° 150° 50° Scm 100° 150° Figure 14 DWBA calculations at 18 Mev using different sets of parameters. curve 'CS -rl r-1 0 'CS IV .µ .µ 0 'CS 'CS Cl> f1l aS 'CS * Mev function* WS -7.41 4.96 0.80 WS -6 2.86 0.65 G 0.798 ws ws ws -7.41 4.96 0.80 WS 3.2 o.65 WS -6.o 2.86 0.65 G 2.86 2.75 o•.71 WS 2.81 0.683 ws -28.0 2.74 0.70 WS 2.86 0.65 WS -6.o 2.86 0.65 G 2.75 0.71 WS function* Mev 3He + 12 c -164.o 2.9 0.798 p + 14N -46.7 2.86 o.65 2.06 0.9 -164.o 2.9 p + 14N -46.7 form factor JHe + 12c -176.0 2.86 p + 14N form factor ~ -48.o R· ~ fm Ar fm chan. w ~ fm Rr fm form factor JHe + 12 c m vr c fm J.2 2.86 2.97 3.2 J.2 3.2 WS = Woods-Saxon potential, fa: { 1 + exp[(r- R)/AJ}-1 • G = Gaussian potential, f = exp - { ( r - R) /A } 2 • I\) I\) I\) N II _J II _J 0 II _J 0 ,. - q - 0 -. 223 •• •• •• 10 - •••••• Cjfo - 10 N - •• •• • •• • 0 0 00 - 0 0 °' 0 0 IOo -o co - 0 0 0. 0 0 ~ -o 10 'i'o - 0 0 0. 00 ... ••• •• • ,. ••• •• •• ••• • • • • • • •• •• •••• • • ••• • •••• • •• • •• • ••• •• •• • •• •• i'o - ...10•• - (JS)~ qw .op u E CD 224 Figure 15 The spatial coordinates between the centerof-mass of particles in the A(JHe,p)B reaction. p denotes the outgoing proton and (np), the transferred pair, A, the target nucleus and B, the product nuclei. 225 I .