论文标题

通过准驱动器嵌入相对论密度函数中的短距离相关性

Embedding short-range correlations in relativistic density functionals through quasi-deuterons

论文作者

Burrello, S., Typel, S.

论文摘要

在亚饱和密度下形成簇是对状态核物质方程(EOS)的可靠建模的重要特征。利用能量密度功能(EDF)的现象学模型提供了一种方便的方法,以说明将核子的这些结合状态的存在作为额外的自由度。但是,在这些模型中,当从下方接近核饱和密度时,群集通过构造溶解,揭示了最近发现的不一致之处,即使在较大的密度下,也证明存在短距离相关性(SRC)的存在。 在这项工作中,在EDF框架内,提出了一种新颖的方法,将SRC嵌入具有密度依赖性耦合的相对论平均场模型中。这是通过引入群集结合能移位的合适内部修饰来实现的,这些变化负责描述群集溶解。作为第一个探索性步骤,研究了广义相对论密度功能方法中的准脱氧剂的示例。 对于所有重子密度,首次得出了零温度下簇质量变化的合适参数化。它们受到核物质在饱和度接近核物质和微观多体计算中有效的杜特龙馏分的实验结果的限制。评估Deuteron-Meson耦合的强度至关重要。本研究的发现是通过以有效的方式考虑相关性来改善EDF上核问题及其EOS描述的第一步。对某些热力学量的新作用,例如物质不可压缩性,对称能量及其斜率,最终被辨别和讨论。

The formation of clusters at sub-saturation densities constitutes an essential feature for a reliable modelization of the nuclear matter equation of state (EoS). Phenomenological models that make use of energy density functionals (EDFs) offer a convenient approach to account for the presence of these bound states of nucleons when introduced as additional degrees of freedom. However, in these models clusters dissolve, by construction, when the nuclear saturation density is approached from below, revealing inconsistencies with recent findings that evidence the existence of short-range correlations (SRCs) even at larger densities. In this work, within the EDF framework, a novel approach is proposed to embed SRCs within a relativistic mean-field model with density dependent couplings. This is realized through the introduction of suitable in-medium modifications of the cluster binding energy shifts, which are responsible for describing the cluster dissolution. As a first exploratory step, the example of a quasi-deuteron within the generalized relativistic density functional approach is investigated. For the first time, suitable parameterizations of the cluster mass shift at zero temperature are derived for all baryon densities. They are constrained by experimental results for the effective deuteron fraction in nuclear matter near saturation and by microscopic many-body calculations in the low-density limit. The strength of the deuteron-meson couplings is assessed to be of crucial importance. The findings of the present study represent a first step to improve the description of nuclear matter and its EoS at supra-saturation densities in EDFs by considering correlations in an effective way. Novel effects on some thermodynamic quantities, such as the matter incompressibility, the symmetry energy and its slope, are finally discerned and discussed.

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