Title: Calculation of Dissociation Temperature of Nucleon Using Gaussian Expansion Method Show Chinese title

Title: 使用高斯展开方法计算核子的离解温度

Abstract: The first study of the dissociation temperature of nucleon in hot QCD medium in the framework of constituent quark model is presented. The temperature-dependent potential energy of the three quark system, taking as the internal energy of the system are obtained from the free energy of the system, and the temperature-dependent free energy is derived based on Debye-H\"uckel theory. The lattice QCD results of the free energy for heavy three-quark system are employed and extended to the light three-quark system. The Schr\"{o}dinger equation for nucleon is solved with the help of Gaussian expansion method and the dissociation temperature of the nucleon is determined according to the temperature dependence of binding energy and radii. Comparing with the dissociation temperature of $J/\psi$, the dissociation temperature of nucleon is higher. So, nucleon is more difficult to melt than Charmonium. Show Chinese abstract

Abstract: 在组成夸克模型框架下，首次研究了热QCD介质中核子的解离温度。 温度依赖的三夸克系统的势能，作为系统的内能，是从系统的自由能中得到的，而温度依赖的自由能则是基于德拜-休克尔理论推导得出的。 采用重三夸克系统的自由能格点QCD结果，并将其扩展到轻三夸克系统。 借助高斯展开方法求解核子的薛定谔方程，并根据结合能和半径的温度依赖性确定核子的解离温度。 与$J/\psi$的解离温度相比，核子的解离温度更高。 因此，核子比J/ψ更难熔化。