Understanding the QCD medium by the diffusion of charm quarks using a Color String Percolation Model

TL;DR

This paper investigates charm quark diffusion in quark-gluon plasma using the Color String Percolation Model, providing insights consistent with lattice QCD and other theories.

Contribution

It introduces a CSPM-based method to estimate charm quark transport coefficients in deconfined matter, aligning well with lattice QCD results.

Findings

CSPM estimates of charm quark diffusion coefficients agree with lattice QCD.

The model provides reliable relaxation times and transport coefficients.

Results enhance understanding of QCD medium properties in high-energy collisions.

Abstract

We study the drag and diffusion coefficients of the charm quark in the deconfined matter produced in the ultra-relativistic collisions by taking the Color String Percolation Model (CSPM) approach. CSPM, being a QCD-inspired model, can give us essential information about the hot and dense system produced in ultra-relativistic collisions. With the information on initial percolation temperature and percolation density, we estimate the relaxation time ($\tau_{c}$), drag coefficient ($\gamma$), transverse momentum diffusion coefficient ($B_{0}$), and spatial diffusion coefficient ($D_{s}$) of charm quark inside a deconfined medium. Finally, we compare the obtained results with lattice QCD and with various other theoretical models. A good agreement can be observed between the results obtained from CSPM and lattice QCD.