Elastic proton-proton and proton-antiproton scattering: analysis of complete set of helicity amplitudes

TL;DR

This paper presents a phenomenological model for elastic proton-proton and proton-antiproton scattering, analyzing complete helicity amplitudes and comparing predictions with experimental data across various energies and momentum transfers.

Contribution

It introduces a comprehensive model based on analytic parameterizations, crossing symmetry, and derivative relations to analyze helicity amplitudes in elastic scattering.

Findings

Model predictions agree with experimental data across wide energy ranges.

The approach may aid future high-energy experiments at RHIC and LHC.

Potential usefulness for the PAX program at GSI.

Abstract

The differential cross-sections are calculated for proton-proton and proton-antiproton elastic scattering using the phenomenological model based on the analytic parameterizations for global scattering parameters (total cross-section and $\rho$ - parameter), crossing symmetry and derivative relations. We confront our model predictions with experimental data in wide range of energy and momentum transfer. The suggested method may be useful for PAX Program (GSI) as well as for high-energy experiments at RHIC and LHC.