本文介绍了协变密度泛函理论研究热原子核对关联的工作.该工作在协变密度泛函理论框架下,引入严格保持粒子数守恒的类壳模型方法来处理对关联.基于正则系综理论分析了~(162)Dy原子核的热力学性质,计算了该原子核的比热容,得到了随温度变化的“S”型曲线,发现对关联对此“S”型曲线至关重要.在保持粒子数守恒的条件下,对能隙随温度平滑变化,表明原子核从超流态转变到正常态.该工作还分析了不同辛弱数对热原子核的影响,发现温度在1 Me V以内,热原子核的性质主要由辛弱数为0,2和4的态所决定. In this paper, we introduce the work of covariance density functional theory (DFT) to study the correlation of thermal nuclei. This work introduces a class-shell model that strictly preserves the number of particles under the framework of covariance-density functional theory to deal with the association.On the basis of regular ensemble theory The thermodynamic properties of ~ (162) Dy nuclei were analyzed, the specific heat capacity of the nuclei was calculated, and the “S” curve with temperature was obtained. It was found that the correlation was crucial to the “S” curve. Keeping the number of particles conserved, the energy gap changes smoothly with temperature, indicating that the atomic nucleus changes from superfluid state to normal state.This work also analyzed the different symplectic weak number on the thermal nuclei, found that the temperature is within 1 MeV, The nature of the thermal nuclei is mainly determined by the state of weak weak numbers 0, 2 and 4.