A study of charm quark dynamics in quark-gluon plasma with 3+1 D viscous hydrodynamics

TL;DR

This paper investigates charm quark behavior in a viscous quark-gluon plasma using 3+1 D hydrodynamics, focusing on how viscosity affects quark transport and energy loss in heavy-ion collisions.

Contribution

It introduces a detailed study of charm quark dynamics incorporating viscous effects within a 3+1 D hydrodynamic model, highlighting the impact of viscosity on transport coefficients.

Findings

Momentum diffusion is sensitive to shear and bulk viscosity.

Viscous corrections significantly affect heavy quark transport.

Collisional energy loss varies with viscous properties.

Abstract

The drag and diffusion coefficients are studied within the framework of Fokker-Planck dynamics for the case of a charm quark propagating in an expanding quark-gluon plasma. The space-time evolution of the nuclear matter created in the relativistic heavy-ion collision is modelled using MUSIC, a 3+1 D relativistic viscous hydrodynamic approach. The effect of viscous corrections to the heavy quark transport coefficients is explored by considering scattering processes with thermal quarks and gluons in the medium. It is observed that the momentum diffusion of the heavy quarks is sensitive to the shear and bulk viscosity to entropy ratios. The collisional energy loss of the charm quark in the viscous quark-gluon plasma is analyzed.