Impact Parameter Dependence of Inelasticity in $pp$ / $p\bar{p}$ Collisions

TL;DR

This paper investigates how inelasticity varies with impact parameter in high-energy proton-proton and proton-antiproton collisions using a geometrical model, predicting a decrease in inelasticity with energy and explaining KNO scaling violation at LHC.

Contribution

It introduces a formula linking inelasticity to the eikonal function within a geometrical model, incorporating a QCD-inspired parametrization to predict energy dependence of inelasticity.

Findings

Inelasticity decreases as collision energy increases.

The model predicts KNO scaling violation at LHC energies.

Gluon-gluon interactions dominate at high energies.

Abstract

We study the impact parameter dependence of inelasticity in the framework of an updated geometrical model for multiplicity distribution. A formula in which the inelasticity is related to the eikonal is obtained. This framework permits a calculation of the multiplicity distributions as well as the inelasticity once the eikonal function is given. Adopting a QCD inspired parametrization for the eikonal, in which the gluon-gluon contribution dominates at high energy and determines the asymptotic behavior of the cross sections, we find that the inelasticity decreases as collision energy is increased. Our results predict the KNO scaling violation observed at LHC energies by CMS Collaboration.