Application of Dispersion Relations to Proton Compton Scattering

Author: Mathews, Jon

Year: 1957

Degree: Dissertation (Ph.D.)

Advisor: Gell-Mann, Murray

Committee Member: Unknown, Unknown

Option: Physics; Mathematics

DOI: 10.7907/GFXM-F011

Abstract

Dispersion theory has been applied to proton Compton scattering at all angles. Unitarity of the S matrix determines the imaginary part of the scattering amplitude; the only absorptive process considered is pion photoproduction. The problem of analytic continuation of amplitudes has been handled in a natural way, which should be valid for scattering energies up to several hundred Mev. Numerical results calculated in a static approximation are in essential agreement with present experimental data.

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