Heavy quarkonia in a potential model: binding energy, decay width, and survival probability

Abstract

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 modelled as a QCD string which is screened at the same scale as the Coulomb field. We have numericallysolvedthe1+1-dimensionalSchrodingerequation 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 unifiedmodelwiththesenewvaluesofdecaywidthstocalculatethesurvivalprobabilityofthevariousquarkoniumstates with respect to centrality at relativistic heavy ioncollider and large had roncollider energies. This study provides a unified, consistent and comprehensive description of spectroscopic properties of various quarkonium states at finite temperatures along with the irnuclear modification factor at different collision energies.