论文标题
$ J/ψ$接近$ t_c $
$J/ψ$ near $T_c$
论文作者
论文摘要
我们通过对这些变量施加两个独立的约束来计算$ j/ψ$的质量偏移和热衰减宽度,可以通过求解Schrödinger方程来获得,第二个独立的约束,第二个可以从QCD SUM规则规则方法中获得。虽然电位的实际部分是通过将charmon和d meson的QCD总规则结果与潜在模型结果进行比较,而假想电位与扰动形式成比例乘以恒定因子成正比,这反过来又可以通过应用两个独立的约束来确定。结果表明,在$ t = 1.09t_c $的幅度上,结合能和热宽度变得相似,高于此,总和规则分析也变得不稳定,强烈表明$ j/ψ$将在$ t_c $上方融化。
We calculate the mass shift and thermal decay width of the $J/ψ$ near the QCD transition temperature $T_c$ by imposing two independent constraints on these variables that can be obtained first by solving the Schrödinger 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 $J/ψ$ will melt slightly above $T_c$.