QLBT: a linear Boltzmann transport model for heavy quarks in a quark-gluon plasma of quasi-particles

Liu, Feng-Lei; Xing, Wen-Jing; Wu, Xiang-Yu; Qin, Guang-You; Cao, Shanshan; Wang, Xin-Nian

doi:10.1140/epjc/s10052-022-10308-x

Title: QLBT: a linear Boltzmann transport model for heavy quarks in a quark-gluon plasma of quasi-particles

Journal Article · 21 April 2022 · European Physical Journal. C, Particles and Fields (Online)

DOI: https://doi.org/10.1140/epjc/s10052-022-10308-x · OSTI ID:1864095

Liu, Feng-Lei; Xing, Wen-Jing; Wu, Xiang-Yu; Qin, Guang-You; Cao, Shanshan; Wang, Xin-Nian

Abstract We develop a new heavy quark transport model, QLBT, to simulate the dynamical propagation of heavy quarks inside the quark-gluon plasma (QGP) created in relativistic heavy-ion collisions. Our QLBT model is based on the linear Boltzmann transport (LBT) model with the ideal QGP replaced by a collection of quasi-particles to account for the non-perturbative interactions among quarks and gluons of the hot QGP. The thermal masses of quasi-particles are fitted to the equation of state from lattice QCD simulations using the Bayesian statistical analysis method. Combining QLBT with our advanced hybrid fragmentation-coalescence hadronization approach, we calculate the nuclear modification factor $$$$R_\mathrm {AA}$$$$ $R_{AA}$ and the elliptic flow $$$$v_2$$$$ $v_{2}$ of D mesons at the Relativistic Heavy-Ion Collider and the Large Hadron Collider. By comparing our QLBT calculation to the experimental data on the D meson $$$$R_\mathrm {AA}$$$$ $R_{AA}$ and $$$$v_2$$$$ $v_{2}$ , we extract the heavy quark transport parameter $$$$\hat{q}$$$$ $\hat{q}$ and diffusion coefficient $$$$D_\mathrm {s}$$$$ $D_{s}$ in the temperature range of $$$$1-4~T_\mathrm {c}$$$$ $1 - 4 T_{c}$ , and compare them with the lattice QCD results and other phenomenological studies.

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Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 1864095

Journal Information:: European Physical Journal. C, Particles and Fields (Online), Journal Name: European Physical Journal. C, Particles and Fields (Online) Journal Issue: 4 Vol. 82; ISSN 1434-6052

Publisher:: Springer Science + Business MediaCopyright Statement

Country of Publication:: Germany

Language:: English

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Hydrodynamic Modeling of Heavy-Ion Collisions Gale, Charles; Jeon, Sangyong; Schenke, BjÖRn International Journal of Modern Physics A, Vol. 28, Issue 11 https://doi.org/10.1142/S0217751X13400113	journal	April 2013
Hydrodynamics at rhic and lhc: what have we Learned? Huovinen, Pasi International Journal of Modern Physics E, Vol. 22, Issue 12 https://doi.org/10.1142/S0218301313300294	journal	December 2013
Jet structure in heavy ion collisions Blaizot, J. -P.; Mehtar-Tani, Y. International Journal of Modern Physics E, Vol. 24, Issue 11 https://doi.org/10.1142/S021830131530012X	journal	November 2015
Jet quenching in high-energy heavy-ion collisions Qin, Guang-You; Wang, Xin-Nian International Journal of Modern Physics E, Vol. 24, Issue 11 https://doi.org/10.1142/S0218301315300143	journal	November 2015
Collective Flow and Viscosity in Relativistic Heavy-Ion Collisions Heinz, Ulrich; Snellings, Raimond Annual Review of Nuclear and Particle Science, Vol. 63, Issue 1 https://doi.org/10.1146/annurev-nucl-102212-170540	journal	October 2013
Probabilistic programming in Python using PyMC3 Salvatier, John; Wiecki, Thomas V.; Fonnesbeck, Christopher https://doi.org/10.7287/peerj.preprints.1686v1	posted_content	January 2016

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