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We report $J/\psi$ spectra for transverse momenta $p_T$> 5 GeV/$c$ atmid-rapidity in p+p and Au+Au collisions at sqrt(s_{NN}) = 200 GeV.Theinclusive $J/\psi$ spectrum and the extracted $B$-hadron feed-down are comparedto models incorporating different production mechanisms. We observe significantsuppression of the $J/\psi$ yields for $p_T$> 5 GeV/$c$ in 0-30% Au+Aucollisions relative to the p+p yield scaled by the number of binarynucleon-nucleon collisions in Au+Au collisions. In 30-60% collisions, no suchsuppression is observed.The level of suppression is consistently less than thatof high-$p_T$ $\pi^{\pm}$ and low-$p_T$ $J/\psi$.

J/$\psi$ production at high transverse momenta in p+p and Au+Au collisions at sqrt(s_{NN}) = 200 GeV