Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-03-08
Nucl.Phys.A848:230-244,2010
Physics
High Energy Physics
High Energy Physics - Phenomenology
20 pages, 8 figures, final version accepted for publication in Nuclear Physics A
Scientific paper
10.1016/j.nuclphysa.2010.08.008
We study heavy-quarkonia suppression under final-state multiple scatterings in most central Au~+~Au collisions at RHIC energy. We first calculate the survival probability of a heavy quarkonium under multiple scattering in Bjorken's expanding QGP at large $N_c$. Then, we calculate the rapidity dependence of the nuclear modification factor $R_{AA}$ for heavy-quarkonia production by considering final-state multiple scatterings in most central Au~+~Au collisions in a simplified model. In our formula a constant $P_0$ is also introduced to estimate the possible cold nuclear effects. By fitting the data for $J/\Psi$ production in most central Au + Au collisions at $\sqrt{s_{NN}}=200$~GeV at RHIC, we find that the transportation coefficient $\hat{q}_0\simeq(0.33-0.95)~\mbox{GeV}^2$/fm, and, accordingly, the energy density at $\tau_0$ is $\epsilon_0\simeq(1.39-5.62)~\mbox{GeV}/\mbox{fm}^3$ in perturbative thermal QCD. A better understanding of cold nuclear effects is essential for us to get a more accurate analysis. The small values of the transportation coefficient $\hat{q}_0$ in our estimate are in sharp contrast with those obtained by the analysis of high-$p_T$ hadron spectra in Ref. [31].
Ma Bo-Qiang
Wu Bin
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