Heavy flavour kinetic equilibration in the confined phase

Abstract

By making use of a non-perturbative definition of a momentum diffusion coefficient as well as Heavy Meson Chiral Perturbation Theory, we investigate the Brownian motion and kinetic equilibration of heavy quark flavours deep in the confined phase. It appears that the momentum diffusion coefficient can be expressed in terms of known low-energy constants; it increases rapidly at temperatures above 50 MeV, behaving as ~ T^7/F_pi^4 for m_pi / pi << T << F_pi, where m_pi and F_pi are the pion mass and decay constant, respectively. The early increase may suggest a broad peak in kappa/T^3 around the QCD crossover. For a more detailed understanding the computation could be generalized in a number of ways.

20 pages. v2: clarifications and a note added; published version

References in corpus (5)

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• Energy Loss and Flow of Heavy Quarks in Au+Au Collisions at sqrt(s_NN) = 200 GeV
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• Hard Pion Chiral Perturbation Theory for $B\to \pi$ and $D\to \pi$ Formfactors
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Cited by in corpus (26)

• Extraction of Heavy-Flavor Transport Coefficients in QCD Matter
• Open Heavy Flavor in QCD Matter and in Nuclear Collisions
• A non-perturbative estimate of the heavy quark momentum diffusion coefficient
• Thermal Relaxation of Charm in Hadronic Matter
• Heavy-Quark Diffusion in the Quark-Gluon Plasma
• Cracking the difference of estimating heavy quark transport coefficients in a Quark-Gluon Plasma
• D-meson propagation in hot dense matter
• Effect of pre-equilibrium phase on $R_{AA}$ and $v_2$ of heavy quarks in heavy ion collisions
• Next-to-leading order thermal spectral functions in the perturbative domain
• Dissociation of heavy quarkonium in hot QCD medium in a quasi-particle model
• Dragging $D$ mesons by hot hadrons
• Heavy quark chemical equilibration rate as a transport coefficient
• Transport properties of bottomed mesons in a hot mesonic gas
• Open bottom states and the anti-B meson propagation in hadronic matter
• Drag and diffusion coefficients of $B$ mesons in hot hadronic matter
• Diffusion of ${\Lambda }_c$ in hot hadronic medium and its impact on ${\Lambda }_c/D$ ratio
• Pseudoscalar and vector open-charm mesons at finite temperature
• Charm and Bottom Hadrons in Hot Hadronic Matter
• Transport coefficients of heavy baryons
• In-medium kinetic theory of $D$ mesons and heavy-flavor transport coefficients
• Drag and Diffusion of Heavy Quarks in a hot and anisotropic QCD medium
• Heavy flavor suppression: role of hadronic matter
• Diffusion and fluctuations of open charmed hadrons in an interacting hadronic medium
• Effect of in-medium spectral density of $D$ and $D^{\ast }$ mesons on the $J/\psi$ dissociation in hadronic matter
• Heavy flavor relaxation in a hadronic medium
• A random walk with heavy flavours