Heavy Quark Diffusion with Relativistic Langevin Dynamics in the Quark-Gluon Fluid

Details Heavy Quark Diffusion with Relativistic Langevin Dynamics in the Quark-Gluon Fluid Heavy Quark Diffusion with Relativistic Langevin Dynamics in the Quark-Gluon Fluid

2008-09-09

arxiv.org/abs/0809.1499v3

Phys.Rev.C79:054907,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, 10 figures

Scientific paper

10.1103/PhysRevC.79.054907

The relativistic diffusion process of heavy quarks is formulated on the basis of the relativistic Langevin equation in It\^{o} discretization scheme. The drag force inside the quark-gluon plasma (QGP) is parametrized according to the formula for the strongly coupled plasma obtained by the AdS/CFT correspondence. The diffusion dynamics of charm and bottom quarks in QGP is described by combining the Langevin simulation under the background matter described by the relativistic hydrodynamics. Theoretical calculations of the nuclear modification factor R_{AA} and the elliptic flow v_{2} for the single electrons from the charm and bottom decays are compared with the experimental data from the relativistic heavy ion collisions. The R_{AA} for electrons with large transverse momentum (p_{T} > 3 GeV) indicates that the drag force from the QGP is as strong as the AdS/CFT prediction.

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