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Song, T.*; Gubler, P.; Hong, J.*; Lee, S. H.*; 森田 健司*
Physics Letters B, 813, p.136065_1 - 136065_5, 2021/02
被引用回数:3 パーセンタイル:45.55(Astronomy & Astrophysics)We calculate the mass shift and thermal decay width of the J/ near the QCD transition temperature 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 = 1.09 , above which the sum rule analysis also becomes unstable, strongly suggesting that the J/ will melt slightly above .
Gubler, P.; Song, T.*; Lee, S. H.*
Physical Review D, 101(11), p.114029_1 - 114029_10, 2020/06
被引用回数:5 パーセンタイル:36.06(Astronomy & Astrophysics)Based on the observation that the heavy quark-antiquark potential value at infinity corresponds to twice the meson mass, we constrain the asymptotic value of the heavy quark potential in a hot medium through a QCD sum rule calculation of the meson at finite temperature. We find that to correctly reproduce the QCD sum rule results as well as a recent model calculation for the meson mass near the critical temperature, the heavy quark potential should be composed mostly of the free energy with an addition of a small but non-trivial fraction of the internal energy. Combined with a previous study comparing potential model results for the J/ to a QCD sum rule calculation, we conclude that the composition of the effective heavy quark potential should depend on the inter-quark distance. Namely, the potential is dominated by the free energy at short distance, while at larger separation, it has a fraction of about 20% of internal energy.