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

In a hydrodynamic model, we have studied $J\mathrm{/}\psi$ suppression and elliptic flow in Au+Au collisions at RHIC energy $\sqrt{s}$=200 GeV. At the initial time, $J\mathrm{/}\psi$’s are randomly distributed in the fluid. As the fluid evolve in time, the free streaming $J\mathrm{/}\psi$’s are dissolved if the local fluid temperature exceeds a melting temperature $T_{J\mathrm{/}\psi }$. Sequential melting of charmonium states (${\chi }_c$, $\psi \mathrm{\prime }$ and $J\mathrm{/}\psi$), with melting temperatures $T_{{\chi }_c}=T_{\psi \mathrm{\prime }}\approx 1.2T_c$, $T_{J/\psi} \approx2T_c$andfeed-downfraction$F\approx 0.3$, is consistent with the PHENIX data on $J\mathrm{/}\psi$ suppression and near zero elliptic flow for $J\mathrm{/}\psi$’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, $T_{{\chi }_c}=T_{\psi \mathrm{\prime }}\le T_c$, $T_{J\mathrm{/}\psi }\approx 1.2T_c$. The regenerated charmoniums will have positive elliptic flow.