Properties of the phase diagram from the Nambu-Jona-Lasino model with a scalar-vector interaction

IF 3.6 1区 物理与天体物理 Q1 NUCLEAR SCIENCE & TECHNOLOGY Nuclear Science and Techniques Pub Date : 2024-09-18 DOI:10.1007/s41365-024-01559-2
Yong-Hang Yang, He Liu, Peng-Cheng Chu
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Abstract

We investigated the properties of the phase diagram of high-order susceptibilities, speed of sound, and polytropic index based on an extended Nambu-Jona-Lasinio model with an eight-quark scalar-vector interaction. Non-monotonic behavior was observed in all these quantities around the phase transition boundary, which also revealed the properties of the critical point. Further, this study indicated that the chiral phase transition boundary and critical point could vary depending on the scalar-vector coupling constant \(G_\text {SV}\). At finite densities and temperatures, the negative \(G_\text {SV}\) term exhibited attractive interactions, which enhanced the critical point temperature and reduced the chemical potential. The \(G_\text {SV}\) term also affected the properties of the high-order susceptibilities, speed of sound, and polytropic index near the critical point. The non-monotonic (peak or dip) structures of these quantities shifted to a low baryon chemical potential (and high temperature) with a negative \(G_\text {SV}\). \(G_\text {SV}\) also changed the amplitude and range of the nonmonotonic regions. Therefore, the scalar-vector interaction was useful for locating the phase boundary and critical point in QCD phase diagram by comparing the experimental data. The study of the non-monotonic behavior of high-order susceptibilities, speed of sound, and polytropic index is of great interest, and further observations related to high-order susceptibilities, speed of sound, and polytropic index being found and applied to the search for critical points in heavy-ion collisions and the study of compact stars are eagerly awaited.

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具有标量-矢量相互作用的南布-若纳-拉西诺模型相图的性质
我们研究了基于八夸克标量-矢量相互作用的扩展南布-若纳-拉西尼奥模型的高阶感性、声速和多向指数相图的性质。在相变边界附近观察到所有这些量的非单调行为,这也揭示了临界点的特性。此外,这项研究还表明,手性相变边界和临界点的变化取决于标量-矢量耦合常数(G_\text {SV}\)。在有限密度和温度下,负的\(G\text {SV}\)项表现出吸引力相互作用,从而提高了临界点温度并降低了化学势。G (text {SV})项还影响临界点附近的高阶易感性、声速和多向指数。这些量的非单调(峰值或倾角)结构随着负的\(G\text {SV}\)项而转向低重子化学势(和高温)。\(G\text {SV}\)也改变了非单调区域的振幅和范围。因此,标量-矢量相互作用有助于通过比较实验数据来定位QCD相图中的相边界和临界点。对高阶感度、声速和多向指数的非单调行为的研究是非常有意义的,我们热切地期待着进一步发现与高阶感度、声速和多向指数有关的观测结果,并将其应用于重离子碰撞临界点的寻找和紧凑星的研究。
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来源期刊
Nuclear Science and Techniques
Nuclear Science and Techniques 物理-核科学技术
CiteScore
5.10
自引率
39.30%
发文量
141
审稿时长
5 months
期刊介绍: Nuclear Science and Techniques (NST) reports scientific findings, technical advances and important results in the fields of nuclear science and techniques. The aim of this periodical is to stimulate cross-fertilization of knowledge among scientists and engineers working in the fields of nuclear research. Scope covers the following subjects: • Synchrotron radiation applications, beamline technology; • Accelerator, ray technology and applications; • Nuclear chemistry, radiochemistry, radiopharmaceuticals, nuclear medicine; • Nuclear electronics and instrumentation; • Nuclear physics and interdisciplinary research; • Nuclear energy science and engineering.
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