Novel self-consistent mean field approximation and its application in strong interaction phase transitions

被引：22

作者：

Wang, Fei ^{[1
]}

Cao, Yakun ^{[1
]}

Zong, Hongshi ^{[1
,2
,3
]}

机构：

[1] Nanjing Univ, Dept Phys, Nanjing 210093, Jiangsu, Peoples R China

[2] Nanjing Proton Source Res & Design Ctr, Nanjing 210093, Jiangsu, Peoples R China

[3] Joint Ctr Particle Nucl Phys & Cosmol, Nanjing 210093, Jiangsu, Peoples R China

来源：

CHINESE PHYSICS C | 2019年 / 43卷 / 08期

基金：

中国国家自然科学基金;

关键词：

self-consistent mean field approximation; chiral phase transition; finite chemical potential; DYNAMICAL MODEL; ANALOGY;

D O I：

10.1088/1674-1137/43/8/084102

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

We propose a novel self-consistent mean field approximation method by means of a Fierz transformation, taking the Nambu-Jona-Lasinio model as an example. This new self-consistent mean field approximation introduces a new free parameter alpha to be determined experimentally. When alpha assumes the value of 0.5, the approximation reduces to the mean field calculation commonly used in the past. Subsequently, we study the influence of the undetermined parameter alpha on the phase diagram of the two-flavor strong interaction matter. The value of alpha plays a crucial role in the strong interaction phase diagram, as it not only changes the position of the phase transition point of strong interaction matter, but also affects the order of the phase transition. For example, when alpha is greater than the critical value alpha(c) = 0.71, then the strong interaction matter phase diagram no longer has a critical end point. In addition, in the case of zero temperature and finite density, we found that when alpha > 1.044, the pseudo-critical chemical potential corresponds to similar to 4-5 times the saturation density of the nuclear matter, which agrees with the expected results from the picture of the hadrons degree of freedom. The resulting equations of state of strong interaction matter at low temperatures and high densities will have an important impact on studies concerning the mass radius relationship of neutron stars and the merging process of binary neutron stars.

引用

页数：5

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