Nonlinear effects and the behavior of total hadronic and photonic cross sections

TL;DR

This paper models total hadronic and photonic cross sections at high energies using an eikonalized minijet approach with nonlinear corrections, fitting recent experimental data and exploring saturation effects.

Contribution

It introduces a nonlinear correction to the minijet model incorporating gluon recombination effects within the DGLAP+GLRMQ framework, applied to high-energy cross section predictions.

Findings

Model fits well to recent LHC, HiRes, and Auger data.

Saturation effects influence the growth of cross sections at high energies.

Photoproduction cross sections are successfully predicted without parameter changes.

Abstract

In this work we use an eikonalized minijet model where the effects of the first nonlinear corrections to the DGLAP equations are taken into account. The contributions coming from gluon recombination effects are included in the DGLAP+GLRMQ approach for the free proton in the context of saturation models. The parameters of the model are fixed to fit total $pp$ and $\bar p p$ cross sections, including the very recent data from LHC, HiRes and P. Auger Collaborations. Glauber and multiple scattering approximations are then used to describe the inclusive inelastic proton-Air cross section. Photoproduction cross sections, without change of parameters fixed before, are also obtained from the model using Vector Meson Dominance and the Additive Quark Model. We show and discuss our main results as well as the implications of saturation effects in the behavior of total hadronic and photonic cross sections at very high energies.