$J/\Psi \rightarrow \mu^{+}\mu^{-}$ Measurement by the PHENIX in Au+Au collisions at $\sqrt{s_{NN}}$=200 GeV

The modification of heavy quarkonium yields and spectra is one of the most promising candidates to probe the nuclear phase transition from the confined hadron gas to the deconfined quark- gluon plasma. The PHENIX experiment at RHIC is designed to study heavy quarkonium production via the dilepton channels ($e^ {+}e^{-}$ and $\mu^{+}\mu^{-}$) with high precision. During the run 4, PHENIX has, for the first time, accumulated significant statistics for $J/\Psi$ production in Au+Au collisions at $\sqrt {s_{NN}}$=200 GeV. We report the first results on the $J/ \Psi\rightarrow \mu^{+}\mu^{-}$ production measured in the PHENIX muon spectrometers, covering $1.2 < \eta < 2.4$ and $- 1.2 < \eta < -2.2$.