Dispersion relations for meson-proton and proton-proton forward elastic scattering

TL;DR

This paper analyzes forward elastic scattering data for various particle interactions using dispersion relations, compares models involving pomerons and odderons, and provides predictions for LHC energies, showing integral dispersion relations offer better data description.

Contribution

It introduces a comprehensive analysis comparing single- and double-subtraction dispersion relations with derivative relations for forward scattering amplitudes, and evaluates pomeron and odderon models against experimental data.

Findings

Integral dispersion relations better fit data above 5 GeV.

Models with pomeron and odderon contributions are compared.

Predictions for LHC TOTEM experiment are provided.

Abstract

An analysis of the data on forward $pp, \bar pp, \pi^{\pm}p$ and $K^{\pm}p$ scattering is performed making use of the single- and double-subtraction integral and comparing with derivative dispersion relations for amplitudes. Various pomeron and odderon models for the total cross sections are considered and compared. The real part of the amplitude is calculated via dispersion relations. It is shown that the integral dispersion relations lead to a better description of the data for $\sqrt{s}>$5 GeV. Predictions of the considered models for the TOTEM experiment at LHC energies are given