Calculation of dissociation temperature of quarkonium using Gaussian Expansion Method
Calculation of dissociation temperature of quarkonium using Gaussian Expansion Method
复制标题
用高斯展开法计算夸克离子的解离温度
DOI：
10.1088/1674-1137/42/8/083103
复制
发表时间：
2018
影响因子：
3.6
通讯作者：
Hongshi Zong
中科院分区：
文献类型：
--
作者：
Qi Meng;Qian Wu;Peng Cheng;Jialun Ping;Hongshi Zong
在夸克模型的框架下，利用高斯展开法（GEM）计算了热介质中夸克偶素态的离解温度。这是第一次将这种方法应用于介子的离解问题。通过对晶格结果的拟合，得到了温度相关势。解决Schr？dinger方程，同时得到了基态和激发态的结合能和相应的波函数。GEM的精确性和效率为研究介子的离解问题提供了极大的优势。结果表明，基态11S0和13S1的离解温度比其它态高得多，自旋相关相互作用对13S1和11S0的离解温度有显著影响。我们还建议用束缚态的半径作为夸克偶素解离的判据。这有助于避免夸克偶素结合能随温度变化的长尾效应所带来的不准确性。
The dissociation temperatures of quarkonium states in a thermal medium are obtained in the framework of the quark model with the help of the Gaussian Expansion Method (GEM). This is the first time this method has been applied to the dissociation problem of mesons. The temperature-dependent potential is obtained by fitting the lattice results. Solving the Schr?dinger equation with the GEM, the binding energies and corresponding wave functions of the ground states and the excited states are obtained at the same time. The accuracy and efficiency of the GEM provide a great advantage for the dissociation problem of mesons. The results show that the ground states 11 S 0 and 13 S 1 have much higher dissociation temperatures than other states, and the spin-dependent interaction has a significant effect on the dissociation temperatures of 13 S 1 and 11 S 0. We also suggest using the radius of the bound state as a criterion of quarkonium dissociation. This can help to avoid the inaccuracy caused by the long tail of quarkonium binding energy dependence on temperature.