Determination of the Parameters of a Color Neutral 3D Color Glass Condensate Model

TL;DR

This paper extends a 3D color glass condensate model by incorporating confinement via colored noise, deriving gluon distributions, and fitting parameters to experimental data for initial heavy ion collision conditions.

Contribution

It introduces a finite-length, three-dimensional CGC model with confinement effects and determines its parameters through comparison with experimental gluon distribution data.

Findings

Gluon distribution functions are successfully calculated within the model.

Model parameters are fitted to match the JR09 experimental parametrization.

The framework can be used for initial condition calculations in heavy ion collisions.

Abstract

We consider a version of the McLerran-Venugopalan model by Lam and Mahlon where confinement is implemented via colored noise in the infrared. This model does not assume an infinite momentum frame, hence the boosted nuclei are not infinitely thin. Instead, the nuclei have a finite extension in the longitudinal direction and therefore depend on the longitudinal coordinate. In this fully three dimensional framework an x dependence of the gluon distribution function emerges naturally. In order to fix the parameters of the model, we calculate the gluon distribution function and compare it with the JR09 parametrization of the data. We explore the parameter space of the model to attain a working framework that can be used to calculate the initial conditions in heavy ion collisions.