Gluon saturation and the Froissart bound: a simple approach

TL;DR

This paper demonstrates that if a saturation window exists in QCD, then hadronic total cross sections at high energies obey the Froissart bound and can be described using gluon saturation concepts.

Contribution

The paper presents a simple approach linking gluon saturation and the Froissart bound, providing a framework to describe high-energy total cross sections.

Findings

Total cross sections satisfy the Froissart bound under a saturation window.

The approach successfully describes experimental data on $pp/par{p}$ total cross sections.

Gluon saturation and the Color Glass Condensate are key to understanding high-energy behavior.

Abstract

At very high energies we expect that the hadronic cross sections satisfy the Froissart bound, which is a well-established property of the strong interactions. In this energy regime we also expect the formation of the Color Glass Condensate, characterized by gluon saturation and a typical momentum scale: the saturation scale $Q_s$. In this paper we show that if a saturation window exists between the nonperturbative and perturbative regimes of Quantum Chromodynamics (QCD), the total cross sections satisfy the Froissart bound. Furthermore, we show that our approach allows us to describe the high energy experimental data on $pp/p\bar{p}$ total cross sections.