Constraining the nonanalytic terms in the isospin-asymmetry expansion of the nuclear equation of state

Pengsheng Wen, J. Holt
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引用次数: 1

Abstract

We examine the properties of the isospin-asymmetry expansion of the nuclear equation of state from chiral two- and three-body forces. We focus on extracting the high-order symmetry energy coefficients that consist of both normal terms (occurring with even powers of the isospin asymmetry) as well as terms involving the logarithm of the isospin asymmetry that are formally nonanalytic around the expansion point of isospin-symmetric nuclear matter. These coefficients are extracted from numerically precise perturbation theory calculations of the equation of state coupled with a new set of finite difference formulas that achieve stability by explicitly removing the effects of higher-order terms in the expansion. We consider contributions to the symmetry energy coefficients from both two- and three-body interactions. It is found that the coefficients of the logarithmic terms are generically larger in magnitude than those of the normal terms from second-order perturbation theory diagrams, but overall the normal terms give larger contributions to the ground state energy. The high-order isospin-asymmetry terms are especially relevant at large densities where they affect the proton fraction in beta-equilibrium matter.
约束核状态方程同位旋不对称展开中的非解析项
我们从手性二体力和三体力的角度研究了核状态方程的同位旋不对称展开的性质。我们的重点是提取高阶对称能量系数,这些系数既包括正常项(同位旋不对称的偶次幂),也包括涉及同位旋不对称的对数的项,这些项在同位旋对称核物质的膨胀点周围是非解析的。这些系数是从状态方程的数值精确摄动理论计算中提取出来的,并结合了一组新的有限差分公式,通过显式地消除展开式中高阶项的影响来实现稳定性。我们考虑了二体和三体相互作用对对称能系数的贡献。从二阶摄动理论图中发现,对数项的系数一般比正规项的系数大,但总的来说,正规项对基态能量的贡献更大。高阶同位旋不对称项在大密度下特别相关,它们影响β平衡物质中的质子分数。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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