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arXiv 2004.11605nucl-th
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核物质中对称能的斜率参数与三粒子相互作用结构

Slope parameter of the symmetry energy and the structure of three-particle interactions in nuclear matter

Wolfgang Bentz, Ian C. Cloët

摘要:

本文第一部分在朗道和米格达尔的费米液体理论框架下研究了核物质的对称能及其斜率参数。我们导出了$a_s$和$L$之间的一个精确关系式,其中包含了核子有效质量和三粒子朗道-米格达尔参数.我们提出了简单的估计,这表明有两个主要的机制来解释$L$的经验值:质子-中子的有效质量差的同位旋不对称物质和$\ell=0$矩的等矢量介质中的三粒子散射振幅。本文第二部分在费米液体理论的框架下讨论了核物质中三粒子相互作用的一般结构。还讨论了与贝特-布鲁克纳-戈德斯通理论和其他方法的联系。我们明确地表明如何在Faddeev系列的前几个条款,以及介质诱导的三粒子相互作用,自然出现在费米液体理论。

英文摘要:

In the first part of this paper, we present a study of the symmetry energy ($a_s$) and its slope parameter ($L$) for nuclear matter in the framework of the Fermi liquid theory of Landau and Migdal. We derive an exact relation between $a_s$ and $L$, which involves the nucleon effective masses and three-particle Landau-Migdal parameters. We present simple estimates which suggest that there are two main mechanisms to explain the empirical values of $L$: The proton-neutron effective mass difference in isospin asymmetric matter and the $\ell=0$ moment of the isovector in-medium three-particle scattering amplitude. In the second part of this paper, we discuss the general structure of three-particle interactions in nuclear matter in the framework of the Fermi liquid theory. The connections to the Bethe-Brueckner-Goldstone theory and other approaches are also discussed. We show explicitly how the first few terms in the Faddeev series, together with medium induced three-particle interactions, emerge naturally in the Fermi liquid theory.

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