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 Schrodinger 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 $T_c$.

中文翻译：

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J/ψ 接近 T

我们通过对这些变量施加两个独立的约束来计算 QCD 转变温度 $T_c$ 附近 $J/\psi$ 的质量位移和热衰减宽度，这些变量可以首先通过求解薛定谔方程获得，然后从 QCD 求和规则获得方法。虽然势的实部是通过将稗和 D 介子的 QCD 求和规则结果与势模型结果的结果进行比较来确定的，但虚势被认为与乘以常数因子的微扰形式成正比，其中可以通过应用两个独立的约束来确定转弯。结果表明，在 $T=1.09T_c$ 附近，结合能和热宽度在大小上变得相似，超过此值，求和规则分析也变得不稳定，