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Using the QCD sum rule with its operator product expansion reliably estimatedfrom lattice calculations for the pressure and energy density of thequark-gluon plasma, we calculate the strength of the wave function of J/psi atthe origin and find that it decreases with temperature above the transitiontemperature. This result is shown to follow exactly that obtained from thesolution of the Schr\"odingier equation for a charm and anticharm quark pairusing the free energy from lattice calculations as the potential and is insharp contrast to that using the deeper potential associated with the internalenergy, which shows an enhanced strength of the J/psi wave function at theorigin. Our result thus has resolved the long-standing question of whether thefree energy potential or the internal energy potential should be used inanalyzing the spectrum of heavy quark systems at finite temperature.

Free energy versus internal energy potential for heavy quark systems at finite temperature