The latest results for open charm and J/[psi] production in p-p, d-Au and Au-Au from the PHENIX and STAR experiments at √s{sub NN} = 200 GeV at RHIC are presented. The preliminary data show open charm production follows binary scaling in d-Au and Au-Au collisions at RHIC. In d-Au collisions, a suppression in J/[psi] production has been observed at the forward rapidity (d direction), at the backward rapidity (Au direction), J/[psi] production seems strongly dependent on collisions centrality. The implications of heavy flavor production in cold (d-Au) and hot (Au-Au) nuclear media at RHIC are discussed.

We discuss aspects of open and hidden charm production in hadron-nucleus collisions at RHIC and LHC energies. We first discuss the extraction of the total charm cross section in lower energy collisions and how it compares to next-to-leading order quantum chromodynamics calculations. We then describe calculations of the transverse momentum distributions and their agreement with the shape of the measured STAR transverse momentum distributions. We next explain how shadowing and moderate nuclear absorption can explain the PHENIX J/[psi] dAu/pp ratios.

STAR experiment investigates the formation of the Quark Gluon Plasma via the heavy ion collisions taking place at the Relativistic Heavy Ion Collider situated at Brookhaven National Laboratory, Upton, NY. The production of charm quark occurs in the early stages of the heavy ion collisions dominantly via gluon fusion. Due to the fact that the yield of charm is affected by the conditions of the early stages of the collision, the measurement of the charm production provides a useful tool for description of the initial stage that took place. One of the most important findings of the experiments at RHIC was the discovery of the anomalous quenching of jets when passing through the hot and dense matter build in nucleus-nucleus collisions. Heavy quarks measured through non-photonic electron yields in heavy-ion reactions at RHIC, exhibit a larger suppression than expected from the theoretical considerations.n order to comprehend this puzzle and understand better the flavor dependence of the jet quenching, the separation of charm and beauty contributions as well as the measurement of their quenching is necessary.

We discuss aspects of open and hidden charm production in deuterium-nucleus collisions at RHIC and LHC energies. We describe calculations of the total c{bar c} cross section and the charm quark transverse momentum distributions. We next explain how shadowing and moderate nuclear absorption can explain the PHENIX J/{psi} dAu/pp ratios and predict the combined effect of shadowing and absorption in 6.2 TeV d+Pb collisions.

We discuss aspects of open and hidden charm production in deuterium-nucleus collisions at RHIC and LHC energies. We describe calculations of the total c[bar c] cross section and the charm quark transverse momentum distributions. We next explain how shadowing and moderate nuclear absorption can explain the PHENIX J/[psi] dAu/pp ratios and predict the combined effect of shadowing and absorption in 6.2 TeV d+Pb collisions.