Probing the transport properties of Quark-Gluon Plasma via heavy-flavor Boltzmann and Langevin dynamics

Abstract

The heavy quark propagation behavior inside the quark-gluon plasma (QGP), is usually described in terms of the Boltzmann dynamics, which can be reduced to the Langevin approach by assuming a small momentum transfer for the scattering processes between heavy quarks and the QGP constituents. In this work, the temperature and energy dependence of the transport coefficients are calculated in the framework of both Boltzmann and Langevin dynamics. The derived transport coefficients are found to be systematically larger in the Boltzmann approach as compared with the Langevin, in particular in the high temperature and high energy region. Within each of the two theoretical frameworks, we simulate the charm quark production and the subsequent evolution processes in relativistic heavy-ion collisions. We find that the total in-medium energy loss is larger from the Langevin dynamics, resulting in a smaller (larger) $R_{\mathrm{AA}}$ at high (low) $p_{\mathrm{T}}$, for both the charm quark and heavy-flavor mesons. Meanwhile, the Boltzmann model is found to induce larger $v_2$, in particular at moderate $p_{\mathrm{T}}$, as well as stronger broadening behavior for the azimuthal distributions. By comparing the model calculations with available experimental measurements for D-mesons, we find that the Langevin approach is more favored by the $R_{\mathrm{AA}}$ data while the Boltzmann approach is more favored favor by the $v_2$ data. A simultaneous description of both observables appear challenging for both models.

14 pages, 12 figures; Accepted by Phys.Rev.C

References in corpus (16)

• EPS09 - a New Generation of NLO and LO Nuclear Parton Distribution Functions
• ${\mathbf{D}}_{\mathbf{s}}$-Meson as Quantitative Probe of Diffusion and Hadronization in Nuclear Collisions
• Toward a solution to the $R_{AA}$ and $v_2$ puzzle for heavy quarks
• Heavy-flavour spectra in high energy nucleus-nucleus collisions
• Charmonium properties in hot quenched lattice QCD
• Strongly coupled plasma with electric and magnetic charges
• Azimuthal anisotropy of D meson production in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=2.76$ TeV
• A data-driven analysis for the temperature and momentum dependence of the heavy quark diffusion coefficient in relativistic heavy-ion collisions
• Angular Dependence of Jet Quenching Indicates Its Strong Enhancement Near the QCD Phase Transition
• Heavy Quark Diffusion with Relativistic Langevin Dynamics in the Quark-Gluon Fluid
• Centrality and transverse momentum dependence of $D^0$-meson production at mid-rapidity in Au+Au collisions at $\sqrt{s_{\mathrm{NN}}}=200\mathrm{GeV}$
• Magnetic Component of Quark-Gluon Plasma is also a Liquid!
• Heavy quark jet quenching with collisional plus radiative energy loss and path length fluctuations
• Transport properties and Langevin dynamics of heavy quarks and quarkonia in the Quark Gluon Plasma
• Energy loss in a partonic transport model including bremsstrahlung processes
• Continuum estimate of the heavy quark momentum diffusion coefficient $\kappa$

Cited by in corpus (14)

• A study of charm quark dynamics in quark-gluon plasma with 3+1 D viscous hydrodynamics
• Heavy quark transport in an anisotropic hot QCD medium: Collisional and Radiative processes
• Relativistic Langevin dynamics: charm versus beauty
• Open charm phenomenology with a multi-stage approach to relativistic heavy-ion collisions
• Scaling behaviors of heavy flavor meson suppression and flow in different nuclear collision systems at the LHC
• Heavy quark transport coefficients in a viscous QCD medium with collisional and radiative processes
• Heavy flavor quenching and flow: the roles of initial condition, pre-equilibrium evolution and in-medium interaction
• Dragging heavy quark in an anisotropic QCD medium beyond the static limit
• Heavy-Flavour Jets in High-Energy Nuclear Collisions
• Measurements of azimuthal anisotropy of nonprompt D${}^0$ mesons in PbPb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV
• Langevin dynamics of heavy quarks in a soft-hard factorized approach
• Unraveling collisional energy loss of a heavy quark in quark-gluon plasma
• Soft-hard factorization of heavy-quark transport in QCD matter at finite chemical potential
• Perturbative and nonperturbative properties of heavy quark transport in a thermal SU(3) gluon plasma