t dependence of the slope of the high energy elastic pp cross section

TL;DR

This paper investigates how various factors like pion-loop insertions, t-dependent couplings, and eikonalization influence the t-dependence of the slope in high-energy elastic proton-proton scattering, enhancing understanding of scattering dynamics.

Contribution

It provides a detailed analysis of the effects of pion loops, coupling dependence, and eikonalization on the slope variation in elastic pp scattering, which was not comprehensively addressed before.

Findings

Pion-loop insertions significantly affect the slope variation.

t-dependence of the pomeron-nucleon coupling alters the slope behavior.

Eikonalization impacts the t-dependence of the elastic scattering amplitude.

Abstract

We consider the main factors which cause the variation of the value of the local slope of the elastic pp cross section B(t)=d[\ln(d\sigma_el(pp)/dt]/dt with t. Namely, we discuss the role of the pion-loop insertion in the pomeron trajectory, the t-dependence of the pomeron-nucleon coupling and the role of the eikonalization of the proton-proton amplitude in both the one- and two-channel eikonal models.