Abstract
It is shown that a quantum chromodynamics-based nuclear absorption model, with few parameters fixed to reproduce experimental $J/\ensuremath{\psi}$ yield in 200 GeV proton-proton/proton-nucleon and 450 GeV proton-nucleon collisions, can explain the preliminary PHENIX data on the centrality dependence of $J/\ensuremath{\psi}$ suppression in Cu+Cu collisions at Relativistic Heavy Ion Collider (RHIC) energy, $\sqrt{{s}_{\mathit{NN}}}=200$ GeV. However, the model does not give a satisfactory description for the preliminary PHENIX data on the centrality dependence of $J/\ensuremath{\psi}$ suppression in Au+Au collisions. The analysis suggests that in Au+Au collisions, $J/\ensuremath{\psi}$ are suppressed in a medium unlike the medium produced in CERN Super Proton Synchrotron energy nuclear collisions or in RHIC energy Cu+Cu collisions.
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