We have investigated the properties of charmonium states through the in- medium modifications to both perturbative and nonperturbative term of the Cornell potential. We have then extended our exploration of quarkonium to a medium which exhibits a local anisotropy in the momentum space. For that, we have first visited the anisotropic corrections to the retarded, advanced and symmetric propagators through their self-energies in the hard-loop resummation technique and apply these results to calculate the medium corrections to the perturbative and nonperturbative term of the Cornell potential. The flavor dependence of the binding energies of the heavy quarkonia states and the dissociation temperature for isotropic as well as anisotropic case have been obtained by employing the Debye mass for pure gluonic and full QCD case, which is computed by employing the quasi-particle picture. Finally we observe that overall the anisotropy makes the dissociation temperatures higher, compared to isotropic medium. By using these dissociation temperatures as an input we further explore the sensitivity of prompt and sequential suppression of these states to the shear viscosity-to-entropy density ratio, η/s from perturbative QCD and AdS/CFT predictions. Our results show excellent agreement with the recent experimental results at LHC energy.
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