# Inelastic cross sections, overlap functions and Cq moments from ISR to LHC energies in proton interactions

## TL;DR

This paper analyzes the energy dependence of inelastic cross sections, overlap functions, and Cq moments in proton interactions from 10 to 14000 GeV using a QCD-inspired eikonal model, successfully matching experimental data.

## Contribution

It introduces a phenomenological approach connecting elastic and inelastic observables via unitarity, incorporating quark and gluon interactions within a QCD-inspired framework.

## Key findings

- Successful description of inelastic cross sections and Cq moments across energies.
- Discussion of KNO hypothesis violation due to semihard contributions.
- Predictions for the elastic to total cross section ratio as a function of energy.

## Abstract

We investigated the energy dependence of the parton-parton inelastic cross sections, parton- parton inelastic overlap functions and the Cq moments in proton interactions from 10 to 14000 GeV. The used approach is based on a phenomenological procedure where elastic and inelastic proton observables are described in a connected way by exploring the unitarity of S- Matrix. Applying a Quantum Chromodynamics inspired eikonal model, that contains contributions of the quark-quark, quark-gluon and gluon-gluon interactions, theoretical predictions on inelastic cross sections and Cq moments are compared with measurements showing successfully description of the experimental data. The KNO hypothesis violation is discussed as a consequence of the semihard contribution to the multiparticle production in the interactions, in accordance to several experimental and theoretical previous results. Prediction to the ratio elastic to total cross sections as a function of the collision energy is presented and also compared with the experimental information.