Hydrodynamical model for $J/\psi$ suppression and elliptic flow

Abstract

In a hydrodynamic model, we have studied $J/\psi$ suppression and elliptic flow in Au+Au collisions at RHIC energy $\sqrt{s}$=200 GeV. At the initial time, $J/\psi$'s are randomly distributed in the fluid. As the fluid evolve in time, the free streaming $J/\psi$'s are dissolved if the local fluid temperature exceeds a melting temperature $T_{J/\psi }$. Sequential melting of charmonium states (${\chi }_c$, $\psi \prime$ and $J/\psi$), with melting temperatures $T_{{\chi }_c}=T_{\psi \prime }\approx 1.2T_c$, $T_{J/\psi }\approx 2T_c$ and feed-down fraction $F\approx 0.3$, is consistent with the PHENIX data on $J/\psi$ suppression and near zero elliptic flow for $J/\psi$'s. It is also shown that the model will require substantial regeneration of charmoniums, if the charmonium states dissolve at temperature close to the critical temperature, $T_{{\chi }_c}=T_{\psi \prime }\le T_c$, $T_{J/\psi }\approx 1.2T_c$. The regenerated charmoniums will have positive elliptic flow.

4 pages, 2 figures, to be published in Phys Rev. C

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