Heavy quark diffusion coefficient in heavy-ion collisions via kinetic theory

Abstract

We compute the heavy quark momentum diffusion coefficient $\kappa$ using QCD kinetic theory for a system going through bottom-up isotropization in the initial stages of a heavy ion collision. We find that the values of $\kappa$ are within 30% from a thermal system at the same energy density. When matching for other quantities we observe considerably larger deviations. We also observe that the diffusion coefficient in the transverse direction is larger at high occupation numbers, whereas for an underoccupied system the longitudinal diffusion coefficient dominates. The behavior of the diffusion coefficient can be understood on a qualitative level based on the Debye mass $m_D$ and the effective temperature of soft modes $T_{\ast }$. Our results for the kinetic evolution of $\kappa$ in different directions can be used in phenomenological descriptions of heavy quark diffusion and quarkonium dynamics to include the impact of pre-equilibrium stages.

16 pages, 11 figures, v2: sec IV added including new figures, accepted for publication in PRD

References in corpus (15)

• Heavy Quark Diffusion in Strongly Coupled $\mathbb{N}=4$ Yang Mills
• Nonperturbative Heavy-Quark Diffusion in the Quark-Gluon Plasma
• Heavy quark diffusion in perturbative QCD at next-to-leading order
• Momentum Broadening in an Anisotropic Plasma
• Heavy-Quark Diffusion in the Quark-Gluon Plasma
• Simulating jets and heavy quarks in the Glasma using the colored particle-in-cell method
• Jet momentum broadening in the pre-equilibrium Glasma
• Low Mass Thermal Dilepton Production at NLO in a Weakly Coupled Quark-Gluon Plasma
• Heavy quark diffusion in an overoccupied gluon plasma
• Memory effects on energy loss and diffusion of heavy quarks in the quark-gluon plasma
• Regeneration of bottomonia in an open quantum systems approach
• Heavy quark diffusion coefficient with gradient flow
• Lattice study of a magnetic contribution to heavy quark momentum diffusion
• Temperature dependence of the static quark diffusion coefficient
• A fluid-dynamic approach to heavy-quark diffusion in the quark-gluon plasma

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• Accelerated quantum circuit Monte-Carlo simulation for heavy quark thermalization
• The impact of glasma on heavy flavor azimuthal correlations and spectra
• Soft-gluon exchange matters: isotropic screening in QCD kinetic theory
• Heavy quark diffusion and radiation at intermediate momentum
• Adiabatic Hydrodynamization and the Emergence of Attractors: a Unified Description of Hydrodynamization in Kinetic Theory
• Effect of Coriolis Force on Diffusion of D Meson
• Heavy quark diffusion coefficient during hydrodynamization -- non-equilibrium vs. equilibrium
• Anisotropy effects on heavy quark dynamics in Gribov modified gluon plasma