Quarkonium dissociation in an anisotropic QGP

Abstract

We have studied the properties of quarkonium states in an anisotropic quark-gluon plasma (QGP). We address the effects of non-perturbative confining force and momentum anisotropy on the heavy quark potential at finite temperature, which have been resolved by correcting both perturbative and non-perturbative terms of the Cornell potential through the dielectric function in terms of hard-loop resumed gluon propagator in real-time formalism. We have found that the real-part of the potential becomes stronger and thus makes the quarkonia more bound whereas the (magnitude) imaginary-part too becomes larger and thus contribute more to the thermal width, compared to the medium-contribution of the Coulomb term alone. In addition, the presence of anisotropy makes the real-part of the potential stronger but the imaginary-part is weakened slightly. The potential obtained in anisotropic medium is nonspherical. Therefore, we have used the first-order perturbation theory to estimate the shift in energy eigenvalues due to the small anisotropic correction to the energy eigenvalues from the spherically-symmetric part in isotropic medium and determine their dissociation temperatures. The presence of non-perturbative term in the potential results the quarkonia to dissociate at higher temperatures.