Impact of off-shell dynamics on the transport properties and the dynamical evolution of charm quarks at RHIC and LHC temperatures

Abstract We evaluate drag and diffusion transport coefficients comparing a quasi-particle approximation with on-shell constituents of the QGP medium and a dynamical quasi-particles model with off-shell bulk medium at finite temperature T. We study the effects of the width $$\gamma $$ γ of the partic...

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Main Authors: Maria Lucia Sambataro, Salvatore Plumari, Vincenzo Greco
Format: Article
Language:English
Published: SpringerOpen 2020-12-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-020-08704-2
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author Maria Lucia Sambataro
Salvatore Plumari
Vincenzo Greco
author_facet Maria Lucia Sambataro
Salvatore Plumari
Vincenzo Greco
author_sort Maria Lucia Sambataro
collection DOAJ
description Abstract We evaluate drag and diffusion transport coefficients comparing a quasi-particle approximation with on-shell constituents of the QGP medium and a dynamical quasi-particles model with off-shell bulk medium at finite temperature T. We study the effects of the width $$\gamma $$ γ of the particles of the bulk medium on the charm quark transport properties exploring the range where $$\gamma < M_{q,g}$$ γ < M q , g . We find that off-shell effects are in general quite moderate and can induce a reduction of the drag coefficient at low momenta that disappear already at moderate momenta, $$p \gtrsim $$ p ≳ 2–3 GeV. We also observe a moderate reduction of the breaking of the fluctuation–dissipation theorem (FDT) at finite momenta. Moreover, we have performed a first study of the dynamical evolution of HQ elastic energy loss in a bulk medium at fixed temperature extending the Boltzmann (BM) collision integral to include off-shell dynamics. A comparison among the Langevin dynamics, the BM collisional integral with on-shell and the BM extension to off-shell dynamics shows that the evolution of charm energy when off-shell effects are included remain quite similar to the case of the on-shell BM collision integral.
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spelling doaj.art-a39e5d1005a84d6f94728d88577d675b2022-12-21T22:33:54ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522020-12-01801211310.1140/epjc/s10052-020-08704-2Impact of off-shell dynamics on the transport properties and the dynamical evolution of charm quarks at RHIC and LHC temperaturesMaria Lucia Sambataro0Salvatore Plumari1Vincenzo Greco2Department of Physics and Astronomy ‘E. Majorana’, University of CataniaDepartment of Physics and Astronomy ‘E. Majorana’, University of CataniaDepartment of Physics and Astronomy ‘E. Majorana’, University of CataniaAbstract We evaluate drag and diffusion transport coefficients comparing a quasi-particle approximation with on-shell constituents of the QGP medium and a dynamical quasi-particles model with off-shell bulk medium at finite temperature T. We study the effects of the width $$\gamma $$ γ of the particles of the bulk medium on the charm quark transport properties exploring the range where $$\gamma < M_{q,g}$$ γ < M q , g . We find that off-shell effects are in general quite moderate and can induce a reduction of the drag coefficient at low momenta that disappear already at moderate momenta, $$p \gtrsim $$ p ≳ 2–3 GeV. We also observe a moderate reduction of the breaking of the fluctuation–dissipation theorem (FDT) at finite momenta. Moreover, we have performed a first study of the dynamical evolution of HQ elastic energy loss in a bulk medium at fixed temperature extending the Boltzmann (BM) collision integral to include off-shell dynamics. A comparison among the Langevin dynamics, the BM collisional integral with on-shell and the BM extension to off-shell dynamics shows that the evolution of charm energy when off-shell effects are included remain quite similar to the case of the on-shell BM collision integral.https://doi.org/10.1140/epjc/s10052-020-08704-2
spellingShingle Maria Lucia Sambataro
Salvatore Plumari
Vincenzo Greco
Impact of off-shell dynamics on the transport properties and the dynamical evolution of charm quarks at RHIC and LHC temperatures
European Physical Journal C: Particles and Fields
title Impact of off-shell dynamics on the transport properties and the dynamical evolution of charm quarks at RHIC and LHC temperatures
title_full Impact of off-shell dynamics on the transport properties and the dynamical evolution of charm quarks at RHIC and LHC temperatures
title_fullStr Impact of off-shell dynamics on the transport properties and the dynamical evolution of charm quarks at RHIC and LHC temperatures
title_full_unstemmed Impact of off-shell dynamics on the transport properties and the dynamical evolution of charm quarks at RHIC and LHC temperatures
title_short Impact of off-shell dynamics on the transport properties and the dynamical evolution of charm quarks at RHIC and LHC temperatures
title_sort impact of off shell dynamics on the transport properties and the dynamical evolution of charm quarks at rhic and lhc temperatures
url https://doi.org/10.1140/epjc/s10052-020-08704-2
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AT salvatoreplumari impactofoffshelldynamicsonthetransportpropertiesandthedynamicalevolutionofcharmquarksatrhicandlhctemperatures
AT vincenzogreco impactofoffshelldynamicsonthetransportpropertiesandthedynamicalevolutionofcharmquarksatrhicandlhctemperatures