How much do heavy quarks thermalize in a heavy ion collision
By Guy D. Moore, D. Teaney. 2004
523 citations recorded by the source corpus.
We investigate the thermalization of charm quarks in high-energy heavy-ion collisions. To this end, we calculate the diffusion coefficient in the perturbative quark gluon plasma and relate it to collisional energy loss and momentum broadening. We then use these transport properties to formulate a Langevin model for the evolution of the heavy quark spectrum in the hot medium. The model is strictly valid in the nonrelativistic limit and for all velocities $\ensuremath{\gamma}vl\ensuremath{\alpha}{s}^{\ensuremath{-}1/2}$ to leading logarithm in $T/{m}_{D}$. The corresponding Fokker-Planck equation can be solved analytically for a Bjorken expansion and the solution gives a simple estimate for the medium modifications of the heavy quark spectrum as a function of the diffusion coefficient. Finally we solve the Langevin equations numerically in a hydrodynamic simulation of the heavy-ion reaction. The results of this simulation are the medium modifications of the charm spectrum ${R}_{\mathit{AA}}$ and the expected elliptic flow ${v}_{2}({p}_{T})$ as a function of the diffusion coefficient.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/c11f94d0b76b10d49e560939274f2c8dd58fcb3c
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In Nuclear and High Energy Physics
Citations in the corpus
- Gauge/String Duality, Hot QCD and Heavy Ion Collisions (2011, background): “In a weakly coupled QCD plasma, perturbative calculations suggest [465]”
- Brownian Motion in AdS/CFT (2008, unknown): “In such computations, the motion of an external quark in the quark-gluon plasma is assumed to be described by a relativistic Langevin equation [31].”
- Energy loss of a heavy quark moving through Script N = 4 supersymmetric Yang-Mills plasma (2006, background): “The resulting loss rate μ is a complicated function of velocity with logarithmic dependence on 1± v [12].”
- Momentum fluctuations of heavy quarks in the gauge-string duality (2006, background): “6 The predictions of [38] are also rather flat in this interval, despite a dependence of ηD(p) on p that is only slowly decreasing in the range of interest.”
- A Holographic View on Physics out of Equilibrium (2010, methodology): “On the other hand, κT is an independent parameter [126, 92].”
- Strongly correlated quantum fluids: ultracold quantum gases, quantum chromodynamic plasmas and holographic duality (2012, methodology): “(a) RAA of heavy-flavor electrons in 0–10% central collisions [282] compared with π0 data [283] and model calculations (curves I [284], II [285] and III [286]).”
- Properties of hot and dense matter from relativistic heavy ion collisions (2015, methodology): “Early estimates of ⌘/s were also obtained in [206] using the relationship between heavy quark diffusion andmomentumdiffusion in the plasmaobtained in kinetic theory [207].”