Basic quantities of the Equation of State in isospin asymmetric nuclear matter

Jie Liu; Chao Gao; Niu Wan; Chang Xu

doi:10.1007/s41365-021-00955-2

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Basic quantities of the Equation of State in isospin asymmetric nuclear matter

NUCLEAR PHYSICS AND INTERDISCIPLINARY RESEARCH | Updated：2021-12-06

- Basic quantities of the Equation of State in isospin asymmetric nuclear matter
- Basic quantities of the Equation of State in isospin asymmetric nuclear matter
- Nuclear Science and Techniques 2021年32卷第11期文章编号：117
- Affiliations：
  
  1.School of Physics, Nanjing University, Nanjing 210093, China
  2.School of Physics and Optoelectronics, South China University of Technology, Guangzhou 510641, China
- Author bio：
  
  cxu@nju.edu.cn
- Funds：
  
  National Natural Science Foundation of China(11822503)
- DOI：10.1007/s41365-021-00955-2
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Jie Liu, Chao Gao, Niu Wan, 等. Basic quantities of the Equation of State in isospin asymmetric nuclear matter[J]. Nuclear Science and Techniques, 2021,32(11):117

Jie Liu, Chao Gao, Niu Wan, et al. Basic quantities of the Equation of State in isospin asymmetric nuclear matter[J]. Nuclear Science and Techniques, 2021,32(11):117
Jie Liu, Chao Gao, Niu Wan, 等. Basic quantities of the Equation of State in isospin asymmetric nuclear matter[J]. Nuclear Science and Techniques, 2021,32(11):117 DOI： 10.1007/s41365-021-00955-2.

Jie Liu, Chao Gao, Niu Wan, et al. Basic quantities of the Equation of State in isospin asymmetric nuclear matter[J]. Nuclear Science and Techniques, 2021,32(11):117 DOI： 10.1007/s41365-021-00955-2.

摘要

Abstract

Based on the Hugenholtz-Van Hove theorem, six basic quantities of the EoS in isospin asymmetric nuclear matter are expressed in terms of the nucleon kinetic energy ,t,(,k,), the isospin symmetric and asymmetric parts of the single-nucleon potentials ,U,0,(,ρ,k,) and ,U,sym,i,(,ρ,k,). The six basic quantities include the quadratic symmetry energy ,E,sym,2,(,ρ,), the quartic symmetry energy ,E,sym,4,(,ρ,), their corresponding density slopes ,L,2,(,ρ,) and ,L,4,(,ρ,), and the incompressibility coefficients ,K,2,(,ρ,) and ,K,4,(,ρ,). By using four types of well-known effective nucleon-nucleon interaction models, namely the BGBD, MDI, Skyrme, and Gogny forces, the density- and isospin-dependent properties of these basic quantities are systematically calculated and their values at the saturation density ,ρ,0, are explicitly given. The contributions to these quantities from ,t,(,k,),U,0,(,ρ,k,), and ,U,sym,i,(,ρ,k,) are also analyzed at the normal nuclear density ,ρ,0,. It is clearly shown that the first-order asymmetric term ,U,sym,1,(,ρ,k,) (also known as the symmetry potential in the Lane potential) plays a vital role in determining the density dependence of the quadratic symmetry energy ,E,sym,2,(,ρ,). It is also shown that the contributions from the high-order asymmetric parts of the single-nucleon potentials (,U,sym,i,(,ρ,k,) with ,i,>,1) cannot be neglected in the calculations of the other five basic quantities. Moreover, by analyzing the properties of asymmetric nuclear matter at the exact saturation density ,ρ,sat,(,δ,), the corresponding quadratic incompressibility coefficient is found to have a simple empirical relation ,K,sat,2,=,K,2,(,ρ,0,)-4.14 ,L,2,(,ρ,0,).

关键词

Keywords

Equation of stateSymmetry energyHVH theoremSingle-nucleon potential

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