纯中子物质的非束缚性质所施加的富中子物质特性之间的内在关联

Bao-Jun Cai, Bao-An Li
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引用次数: 6

摘要

纯中子物质(PNM)的非束缚性质要求对称核物质(SNM)的EOS参数(不可压缩性$K_0$、偏度$J_0$和峰度$I_0$)与描述不依赖于任何核多体理论的对称能的参数(斜率$L$、曲率$K_{\rm{sym}}$和偏度$J_{\rm{sym}}$)之间具有内在的相关性。我们研究了这些内在关联及其在更好地约束核对称能的高密度行为方面的应用。我们发现了几个将SNM EOS的特征与核对称能的特征联系起来的新关联。特别地,在最低阶近似下,对称能的斜率$L$、曲率$K_{\rm{sym}}$和偏度$J_{\rm{sym}}$的体积部分分别为$L\约x k0 /3、$J_{\rm{sym}}\约x LJ_0/2K_0$和$J_{\rm{sym}}\约x I_0L/3K_0$。这些简单关系的高阶修正可以用高阶EOS参数的小比例来表示。所得的一些EOS参数之间的内在相关性非常好地再现了各种微观核多体理论和现象学模型所预测的关系,这些模型受现有地面实验和天体物理观测数据的约束。PNM的无束缚性质是基本的,表征SNM EOS和对称能的EOS参数之间的内在相关性是普遍的。这些内在关联不仅为一致性检查提供了一种新颖的、与模型无关的工具,而且还通过使用具有较小不确定性的物质来研究人们知之甚少的富中子物质的高密度特性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Intrinsic correlations among characteristics of neutron-rich matter imposed by the unbound nature of pure neutron matter
The unbound nature of pure neutron matter (PNM) requires intrinsic correlations between the symmetric nuclear matter (SNM) EOS parameters (incompressibility $K_0$, skewness $J_0$ and kurtosis $I_0$) and those (slope $L$, curvature $K_{\rm{sym}}$ and skewness $J_{\rm{sym}}$) characterizing the symmetry energy independent of any nuclear many-body theory. We investigate these intrinsic correlations and their applications in better constraining the poorly known high-density behavior of nuclear symmetry energy. Several novel correlations connecting the characteristics of SNM EOS with those of nuclear symmetry energy are found. In particular, at the lowest-order of approximations, the bulk parts of the slope $L$, curvature $K_{\rm{sym}}$ and skewness $J_{\rm{sym}}$ of the symmetry energy are found to be $L\approx K_0/3, K_{\rm{sym}}\approx LJ_0/2K_0$ and $J_{\rm{sym}}\approx I_0L/3K_0$, respectively. High-order corrections to these simple relations can be written in terms of the small ratios of high-order EOS parameters. The resulting intrinsic correlations among some of the EOS parameters reproduce very nicely their relations predicted by various microscopic nuclear many-body theories and phenomenological models constrained by available data of terrestrial experiments and astrophysical observations in the literature. The unbound nature of PNM is fundamental and the required intrinsic correlations among the EOS parameters characterizing both the SNM EOS and symmetry energy are universal. These intrinsic correlations provide a novel and model-independent tool not only for consistency checks but also for investigating the poorly known high-density properties of neutron-rich matter by using those with smaller uncertainties.
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