Quarkonium dissociation at finite chemical potential

Abstract

We have studied the dissociation of quarkonia states in a deconfined medium of quarks and gluons at the large baryon chemical potential and small temperature region. The aim of this study is to probe the dense baryonic medium expected to be produced at the Facility for Anti-proton and Ion Research(FAIR), GSI Darmstadt. This is done by correcting both the short- and long-distance terms of the Cornell potential by a dielectric function, embodying the effects of deconfined quarks and gluons, at finite baryon chemical potential and temperature. It is found that $J/\psi$ is dissociated approximately at 1.4$\mu_c$ in the temperature range 20-50 $MeV$, which can indirectly help to locate the point on the QCD phase diagram at the large chemical potential and low-temperature zone.