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Using the QGP motivated threshold model, where all the $J/\psi$'s aresuppressed above a threshold density, we have analyzed the preliminary PHENIXdata on the centrality dependence of nuclear modification factor for $J/\psi$'sin Cu+Cu and in Au+Au collisions, at RHIC energy, $\sqrt{s}_{NN}$=200 GeV.Centrality dependence of $J/\psi$ suppression in Au+Au collisions are wellexplained in the model for threshold densities in ranges of 3.6-3.7 $fm^{-2}$.$J/\psi$ suppression in Cu+Cu collisions on the other hand are not explained inthe model.Comment: 6 pages, 5 figure

physical review. c. nuclear physics/physical review. c, nuclear physics

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>J</mml:mi><mml:mo>/</mml:mo><mml:mi>ψ</mml:mi></mml:mrow></mml:math>production in Au+Au and Cu+Cu collisions at<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msqrt><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:msqrt><mml:msub><mml:mi /><mml:mrow><mml:mi mathvariant="italic">NN</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>200</mml:mn></mml:mrow></mml:…

J/ψproduction in Au+Au and Cu+Cu collisions atsNN=200