论文标题

对称能的斜率参数和核物质中三粒子相互作用的结构

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

论文作者

Bentz, Wolfgang, Cloët, Ian C.

论文摘要

在本文的第一部分中,我们介绍了对对称能量($ a_s $)及其斜率参数($ L $)的核物质的研究,该核物质是兰道和米格达尔的费米液体理论的框架。我们得出了$ a_s $和$ l $之间的确切关系,该关系涉及核子有效质量和三粒子兰道 - 米格达参数。我们提出了简单的估计,这表明有两种主要机制来解释$ l $的经验值:质子中性质量不对称物质的有效质量差异,而$ \ ell = 0 $ \ ell = 0 $ the Isovector三粒子内三颗粒散射幅度的$ \ ell = 0 $时刻。在本文的第二部分中,我们讨论了费米液体理论框架中核物质中三粒子相互作用的一般结构。还讨论了与Bethe-Brueckner-Goldstone理论和其他方法的联系。我们明确地展示了FADDEEV系列中的前几个术语以及中等感应的三粒子相互作用如何在费米液体理论中自然出现。

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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