Calculation of Spin Observables for Proton-Proton Elastic Scattering in the Bethe-Salpeter Equation

TL;DR

This paper applies the Bethe-Salpeter equation to proton-proton elastic scattering to calculate spin observables, demonstrating improvements in spin rotation and analyzing the resonance effects on specific spin states.

Contribution

It introduces a method to compute spin observables in proton-proton scattering using the Bethe-Salpeter framework with adjusted pseudovector coupling parameters.

Findings

Spin rotation $R( heta)$ and $A( heta)$ are improved by resonance effects.

The pseudovector coupling constant is tuned to match the spin singlet data.

The approach enhances understanding of spin effects in proton-proton scattering.

Abstract

Bethe-Salpeter equation is applied to $p$-$p$ elastic scattering. The observables of spin are calculated in the framework of the M matrix using the two-body interaction potential. The parameter of the pseudovector coupling constant is adjusted so as to reproduce the spin singlet part. It is shown that the spin rotation $R(\theta)$ and $A(\theta)$ are improved by the resonance effect for ${}^{\rm 1}S_{\rm 0}$.