Investigation of nonlinear dipole cross sections

TL;DR

This paper analyzes nonlinear corrections to dipole cross section models, incorporating them into gluon distributions for electron-ion colliders, and assesses their impact on heavy nuclei and vector meson photoproduction.

Contribution

It introduces a modified BGK model with nonlinear corrections to better describe dipole cross sections at low x in electron-ion collisions.

Findings

Nonlinear corrections significantly affect the dipole cross section at low x.

Enhanced modeling improves predictions for heavy nuclei interactions.

Results provide a more direct way to assess nonlinear effects in collider experiments.

Abstract

The nonlinear corrections to the Golec-Biernat Wusthoff (GBW) and Bartels- Golec- Kowalski (BGK) models, as discussed by Peredo-Hentschinski [M.A.Peredo and M.Hentschinski, Phys.Rev.D{109}, 014032 (2024)], are analyzed in terms of the gluon density$^{,}$s nonlinear behavior. We incorporate these nonlinear corrections into the low $x$ gluon distribution of the modified BGK model for electron-ion colliders. By verifying that these results allow for a more direct assessment of the relevance of nonlinear corrections in describing the dipole cross section of heavy nuclei, we determine the dipole cross section at a fixed $\sqrt{s}$ and $Q^2$ to the minimum value of $x$ given by $Q^2/s$ of the center-of-mass energy of electron-ion colliders. Additionally, we examine the nonlinear gluon density in the photoproduction cross sections of vector mesons $\Psi(2s)$ and $J/\Psi$ on a lead nucleus.