  Recently a lot of progress has been made in deriving the heavy quark
potential within a QCD medium. In this article we have considered heavy
quarkonium in a hot quark gluon plasma phase. The heavy-quark potential has
been modeled properly for short as well as long distances. The potential at
long distances is modeled as a QCD string which is screened at the same scale
as the Coloumb field. We have numerically solved the 1+1-dimensional
Schrodinger equation for this potential and obtained the eigen wavefunction and
binding energy for the $1S$ and $2S$ states of charmonium and bottomonium.
Further, we have calculated the decay width and dissociation temperature of
quarkonium states in the QCD plasma. Finally, we have used our recently
proposed unified model with these new values of decay widths to calculate the
survival probability of the various quarkonium states with respect to
centrality at relativistic heavy ion collider (RHIC) and large hadron collider
(LHC) energies. This study provides a unified, consistent and comprehensive
description of spectroscopic properties of various quarkonium states at finite
temperatures along with their nuclear modification factor at different
collision energies.
