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arxiv 2009.08741 v1 pith:QMPB7R57 submitted 2020-09-18 nucl-th hep-lathep-ph

J/psi near T_c

classification nucl-th hep-lathep-ph
keywords potentialresultruleabovebecomesconstraintsdeterminedindependent
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We calculate the mass shift and thermal decay width of the $J/\psi$ near the QCD transition temperature $T_c$ by imposing two independent constraints on these variables that can be obtained first by solving the Schr\"odinger equation and second from the QCD sum rule approach. While the real part of the potential is determined by comparing the QCD sum rule result for charmonium and the D meson to that from the potential model result, the imaginary potential is taken to be proportional to the perturbative form multiplied by a constant factor, which in turn can be determined by applying the two independent constraints. The result shows that the binding energy and the thermal width becomes similar in magnitude at around $T=1.09T_c$, above which the sum rule analysis also becomes unstable, strongly suggesting that the $J/\psi$ will melt slightly above $T_c$.

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