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.

arXiv comment16 pages, 11 figures, v2: sec IV added including new figures, accepted for publication in PRD

References in corpus (39)

• How Much do Heavy Quarks Thermalize in a Heavy Ion Collision?
• Bottom-up thermalization in heavy ion collisions
• Photon and Gluon Emission in Relativistic Plasmas
• Heavy Quark Diffusion in Strongly Coupled $\mathbb{N}=4$ Yang Mills
• Effective Kinetic Theory for High Temperature Gauge Theories
• Heavy-Quark Probes of the Quark-Gluon Plasma at RHIC
• Isotropization and hydrodynamization in weakly coupled heavy-ion collisions
• Nonperturbative Heavy-Quark Diffusion in the Quark-Gluon Plasma
• QCD thermalization: Ab initio approaches and interdisciplinary connections
• Heavy Quark Momentum Diffusion Coefficient from Lattice QCD
• Quarkonium suppression in heavy-ion collisions: an open quantum system approach
• Heavy Quarkonium in Extreme Conditions
• Heavy quark diffusion in perturbative QCD at next-to-leading order
• A simple sum rule for the thermal gluon spectral function and applications
• Heavy quark diffusion in QCD and N=4 SYM at next-to-leading order
• The First fm/c of Heavy-Ion Collisions
• The Boltzmann equation for gluons at early times after a heavy ion collision
• Lattice QCD constraints on the heavy quark diffusion coefficient
• Momentum Broadening in an Anisotropic Plasma
• Initial conditions for hydrodynamics from weakly coupled pre-equilibrium evolution
• UV Cascade in Classical Yang-Mills via Kinetic Theory
• Chemical Equilibration in Weakly Coupled QCD
• Heavy-Quark Diffusion in the Quark-Gluon Plasma
• Collisional Energy Loss of a Heavy Quark in an Anisotropic Quark-Gluon Plasma
• Coupled Boltzmann Transport Equations of Heavy Quarks and Quarkonia in Quark-Gluon Plasma
• Impact of Glasma on heavy quark observables in nucleus-nucleus collisions at LHC
• Simulating jets and heavy quarks in the Glasma using the colored particle-in-cell method
• Jet momentum broadening in the pre-equilibrium Glasma
• Quarkonium above deconfinement as an open quantum system
• Anisotropic momentum broadening in the 2+1D Glasma: analytic weak field approximation and lattice simulations
• Low Mass Thermal Dilepton Production at NLO in a Weakly Coupled Quark-Gluon Plasma
• Heavy Quarks Embedded in Glasma
• 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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• Soft-gluon exchange matters: isotropic screening in QCD kinetic theory
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• Adiabatic Hydrodynamization and the Emergence of Attractors: a Unified Description of Hydrodynamization in Kinetic Theory
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• Heavy quark diffusion coefficient during hydrodynamization -- non-equilibrium vs. equilibrium
• Anisotropy effects on heavy quark dynamics in Gribov modified gluon plasma