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arXiv 1802.01119hep-ph
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用高斯展开法计算核子的离解温度

Calculation of Dissociation Temperature of Nucleon Using Gaussian Expansion Method

Peng Cheng, Qi Meng, Qian Wu, Jialun Ping, Hongshi Zong

摘要:

首次在组分夸克模型的框架下研究了热QCD介质中核子的离解温度。由三夸克系统的自由能求出系统的含温势能,并以此作为系统的内能,利用Debye-Hückel理论推导出含温自由能.利用格点量子色动力学对重三夸克系统自由能的计算结果,将其推广到轻三夸克系统。本文用高斯展开法求解核子的薛定谔方程,根据核子的结合能和半径随温度的变化关系,确定核子的离解温度。与$J/ψ$的离解温度相比,核子的离解温度更高。因此,核子比粲偶素更难熔化。

英文摘要:

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-Hückel 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 Schrödinger 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 $J/ψ$, the dissociation temperature of nucleon is higher. So, nucleon is more difficult to melt than Charmonium.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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