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.
Highlights
The heavy-ion collision experiments pursued at the Relativistic Heavy Ion Collider (RHIC) at Brookhaven National Laboratory and at the Large Hadron Collider (LHC) at CERN have confirmed the existence of a new state of matter: the quark-gluon plasma (QGP) [1,2]
For the quantitative estimation of Heavy quarks (HQs) drag and diffusion coefficients, we consider the mass of the charm quark to be mc = 1.5 GeV with the effective number of degrees of freedom Nf = 2.5 and the coupling constant αs = 0.3
We have studied the HQ dynamics in the expanding QGP medium using a realistic 3 + 1D hydrodynamical modeling—MUSIC
Summary
The heavy-ion collision experiments pursued at the Relativistic Heavy Ion Collider (RHIC) at Brookhaven National Laboratory and at the Large Hadron Collider (LHC) at CERN have confirmed the existence of a new state of matter: the quark-gluon plasma (QGP) [1,2]. The focus of the current analysis is to investigate the HQ drag and momentum diffusion in the expanding viscous QGP, and explore the sensitivity of HQ transport coefficients and collisional energy loss to a nonzero viscosity to entropy ratio. This requires relativistic hydrodynamical modeling of the evolution of the medium created in the relativistic heavy-ion collision. The viscous hydrodynamic equations up to second order in flow velocity gradients are the standard input to characterize the bulk medium created in the collisions [36,37,38] This investigation incorporates the viscous effects in the HQ dynamics in the QGP that enters through the.
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