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

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.

arXiv comment17 pages, 2 figures. Summary expanded. Typos in Eqs. (15) and (20) corrected. Published version

References in corpus (19)

• Computing Quark and Gluon Distribution Functions for Very Large Nuclei
• Gluon Distribution Functions for Very Large Nuclei at Small Transverse Momentum
• Green's Functions in the Color Field of a Large Nucleus
• Elliptic and triangular flow in event-by-event (3+1)D viscous hydrodynamics
• The Intrinsic Glue Distribution at Very Small x
• Fluctuating Glasma initial conditions and flow in heavy ion collisions
• Non-Abelian Weizsacker-Williams field and a two-dimensional effective color charge density for a very large nucleus
• Event-by-event gluon multiplicity, energy density and eccentricities at RHIC and LHC
• QCDNUM: Fast QCD Evolution and Convolution
• Anisotropic flow in sqrt(s)=2.76 TeV Pb+Pb collisions at the LHC
• Quantum Corrections to the Weizsäcker--Williams Distribution Function as Small x
• CGC predictions for p+Pb collisions at the LHC
• PDF Nuclear Corrections for Charged Lepton and Neutrino Deep Inelastic Scattering Processes
• The Gluon Propagator in non-Abelian Weizsäcker-Williams fields
• Gluon saturation in $pA$ collisions at the LHC: KLN model predictions for hadron multiplicities
• Variable Flavor Number Parton Distributions and Weak Gauge and Higgs Boson Production at Hadron Colliders at NNLO of QCD
• Color Neutrality and the Gluon Distribution in a Very Large Nucleus
• Longitudinal Resolution in a Large Relativistic Nucleus: Adding a Dimension to the McLerran-Venugopalan Model
• Small x Gluons in Nuclei and Hadrons

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