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arXiv 2209.07810nucl-th
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张量力诱导高动量对自旋激发对称核物质的有限粒子数描述

Finite particle-number description of symmetric nuclear matter with spin excitations of high-momentum pairs induced by tensor force

Niu Wan, Takayuki Myo, Hiroki Takemoto, Hiroshi Toki, Chang Xu, Hisashi Horiuchi, Masahiro Isaka, Mengjiao Lyu, Qing Zhao

摘要:

利用有限立方盒子中的有限粒子数方法研究了对称核物质的裸核子-核子相互作用($NN$)。由于$NN$关联源于裸的$NN$相互作用,两个核子可以被激发到高动量区,导致核物质中动能的增加。我们进一步考虑了核子对中的自旋激发,其中两个核子的自旋被改变,并且这种激发对于张量关联是重要的。采用酉相关算子方法(UCOM)处理短程相关。还包括来自相邻盒子的尾部校正。我们证明了正常密度下核子对的各种激发以及尾修正对总能量的贡献。我们还讨论了UCOM和关联核子对对总能量密度依赖性的影响。用两种Argonne势计算了对称核物质的物态方程,所得结果与其它多体理论的结果一致。还示出了哈密顿分量的密度依赖性。

英文摘要:

We study the symmetric nuclear matter using bare nucleon-nucleon ($NN$) interactions with finite particle-number approach within finite cubic boxes. Due to the $NN$ correlations originating from bare $NN$ interaction, two nucleons can be excited to the high-momentum region, leading to the increase of the kinetic energy in nuclear matter. We further consider the spin excitations in the nucleon pairs, where the spin of the two nucleons are changed, and this excitation is important for the tensor correlation. The unitary correlation operator method (UCOM) is used to treat the short-range correlation. The tail correction coming from the neighbouring boxes is also included. We demonstrate the contributions of various excitations of nucleon pairs as well as the tail correction to the total energy at the normal density. We also discuss the effects of UCOM and correlated nucleon pairs on the density dependence of the total energy. We calculate the equations of state of symmetric nuclear matter using two kinds of the Argonne potentials and the results agree with those from other many-body theories. The density dependences of the Hamiltonian components are also shown.

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