On Pion Nucleon Resonances

Author: Marx-Oberländer, Egon

Year: 1963

Degree: Dissertation (Ph.D.)

Advisors: Gell-Mann, Murray; Zachariasen, Fredrik

Committee Member: Unknown, Unknown

Option: Physics

DOI: 10.7907/Q819-RH19

Abstract

This thesis shows a method for setting up a numerical computation to find resonances in the pion-nucleon system. It takes into account inelastic reactions through a generalized N/D method, and problems introduced by unstable particles are analyzed. General formulae are calculated for the kinematics of reactions involving the πN, ρN, ωN and πN* channels, relating sets of Lorents invariant amplitudes (free of kinematical singularities) to helicity amplitudes in a form that exhibits the reflection symmetry when the total energy W is replaced by - W, and a simple form is found for the partial wave expansions. A detailed discussion of the isospin part of the equations is included.

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