格点量子色动力学中用变分方法寻找粲偶素的离解温度
Search for the Charmonium Dissociation Temperature with Variational Analysis in Lattice QCD
摘要：
在猝灭的各向异性格点量子色动力学中，采用标准格片规范作用量和O（a）改进的Wilson费米子作用量，研究了粲偶素的离解温度.模拟在0.88T_c至2.3T_c范围内进行。从介子介导子中，我们首先减去了常模的贡献，据报道，这会误导对P波信号的分析。然后利用多态变分法计算了基态（1 S，1 P）和激发态（2S，2 P）的有效质量和Bethe-Salpeter波函数。为了区分束缚态和散射态，我们采用了两种方法：首先，我们比较了不同空间边界条件下具有有限空间动量的粲偶素关联函数的有效质量。由于散射态能量对边界条件敏感，我们预期粲偶素离解时会有有限体积效应。第二，我们研究了当粲偶素束缚态转变为散射态时的Bethe-Salpeter波函数。用这两种方法，到目前为止，我们还没有发现在2.3T_c以下的粲偶素基态和激发态发生离解的明显证据。
英文摘要：
Charmonium dissociation temperatures are studied in a quenched anisotropic lattice QCD with standard plaquette gauge action and O(a) improved Wilson fermion action. Simulations are carried out at temperatures in the range 0.88T_c to 2.3T_c. From the meson correlators, we first subtract the contribution of constant mode, which was reported to mislead the analysis of, in particular, P wave signals. We then calculate effective masses and Bethe-Salpeter wave functions for ground (1S, 1P) and excited states (2S, 2P) using the multi-state variational analysis. To distinguish between bound states and scattering states, we apply two methods: First, we compare effective masses for charmonium correlation functions with finite spatial momenta under different spatial boundary conditions. Since the scattering state energies are sensitive to the boundary conditions, we expect finite volume effects when the charmonium dissociates. Second, we study the Bethe-Salpeter wave function, which should become broad when the charmonium bound state turns into a scattering state. With both methods, we have fond no clear evidences of dissociation for the ground and exited charmonium states up to 2.3T_c so far.
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