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We calculate the gluon dissociation cross-section in an anisotropic quarkgluon plasma expected to be formed due relativistic nucleus-nucleus collisions.The initial rapid longitudinal expansion of the system leads to momentum spaceanisotropy due which the observables are affected in such a system. We showthat the thermally weighted cross-section of gluon dissociation undergoesmodification in anisotropic plasma leading to a decreased probability of$J/\psi$ suppression both for RHIC and LHC energies. The dependence of thecross section as well as the survival probability on the direction ofpropagation of the charmonium with respect to the anisotropy axis arepresented. The sensitivity of the survival probability on the initialconditions have also been demonstrated.

Gluon dissociation of $J/\psi$ in anisotropic {\em Quark-Gluon-Plasma}