A more realistic non-relativistic quark-quark potential in the thermal and dense medium is proposed and used to study the laptonic decay of J/ψ.The laptonic decay property of J/ψin the hot and dense matter depends on the form of the binding potential.The decay width in the potential case is much sensitive to the temperature than that in the Karsch’s potential case,especially in the lower temperature region.In both cases,the decay widths decreased with the increasing temperature and density.The resultant critical temperature of 200 MeV is consistent with the lattice quantum chromodynamics finding.
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