Zero momentum gluons and the total pp and pbarp cross-sections

TL;DR

This paper presents a QCD-inspired model for total proton-proton and proton-antiproton cross-sections, combining mini-jet contributions and soft gluon effects to explain the energy dependence of scattering processes.

Contribution

It introduces a novel model that integrates QCD mini-jets with soft gluon emissions using an infrared singular coupling, providing a unified description of total cross-sections.

Findings

The model successfully reproduces the energy dependence of total cross-sections.

Incorporates a new infrared behavior for the QCD coupling constant.

Provides a framework linking soft gluon effects with mini-jet driven cross-section rise.

Abstract

We describe a QCD motivated model for total cross-sections which uses the eikonal representation and incorporates QCD mini-jets to drive the rise with energy of the cross-section, while the impact parameter distribution is obtained through the Fourier transform of the transverse momentum distribution of soft gluons emitted in the parton-parton interactions giving rise to mini-jets in the final state. A singular but integral expression for the running coupling constant in the infrared region is part of this model.