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核物质对称能理论参数的贝叶斯统计推断

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本文采用了中子星模型与贝叶斯统计方法相结合的理论框架,基于目前发布的中子星质量、半径和潮汐形变的观测数据推断了描述核物质对称能的参数的不确定范围.我们发现,现有的中子星潮汐形变观测数据无法改善人们对核物质对称能的认识.基于最近联合重离子碰撞和天体观测得到的中子星物质状态方程,得到的结果与之前基于中子星观测数据得到的结果基本一致.另外,基于假想的中子星最大质量数据,我们发现其对核物质对称能参数不敏感.相比之下,CREX和PREX-Ⅱ合作组发布的中子皮厚度的实验数据对核物质对称能参数的约束更加有效.采用核液滴模型与贝叶斯统计方法相结合的理论框架,发现使用208Pb和48Ca的中子皮厚度数据得到的核物质对称能参数的不确定范围存在很大的差异,两者几乎没有交集.鉴于实验测量误差的不同,48Ca中子皮厚度数据对核物质对称能参数的限制要比208Pb数据更加严格.中子皮厚度数据得到的参数区间与中子星观测数据得到的区间有较大差异,中子皮厚度数据更加支持对称能较软的情况,而中子星观测数据则更倾向于对称能较硬的情况.最后,我们还研究了在基于中子星观测数据约束核物质对称能参数时参数的先验分布效应.计算结果显示曲率参数Ksym不依赖于其先验分布,斜率参数L轻微依赖其先验分布,而偏度参数Jsym严重依赖其先验分布.
Bayesian inference of the parameters involved in the nuclear symmetry energy
This study employs a theoretical framework that combines neutron star models with the Bayesian inference method to infer the parameters of the nuclear symmetry energy based on the currently available observational data regarding the mass,radius,and tidal deformability of neutron stars.Existing observations of neutron star tidal deformability can make only limited contributions to our understanding of nuclear symmetry energy.Results obtained from analyses using the equation of state for neutron star matter obtained from the recent joint studies of heavy-ion collisions and astrophysical observations are consistent with those previously obtained based on observations of neutron stars.Furthermore,we observe that the maximum mass of neutron stars has little sensitivity to the symmetry energy parameters.Comparatively,the experimental data on neutron skin thickness reported by the CREX and PREX-Ⅱ collaborations provide more effective constraints on the parameters of the nuclear symmetry energy.Furthermore,using a theoretical framework that combines the nuclear liquid drop model with the Bayesian inference method,we find that the uncertainty ranges for the symmetry energy parameters obtained from neutron skin thickness data for 208Pb and 48Ca are substantially different and have little overlap.Due to the differences in data error,the parameters of the nuclear symmetry energy constrained by the neutron skin thickness data obtained from the 48Ca data are narrower than those obtained from the 208Pb data.Moreover,the parameter ranges obtained from neutron skin thickness data differ significantly from those obtained from observations of neutron stars,with the former supporting a softer symmetry energy and the latter favoring a stiffer symmetry energy.Finally,we also investigate the effect of prior distributions on the inference of the symmetry energy parameters from neutron star observations.Our calculations demonstrate that the curvature parameter(Ksym)does not depend on the prior distribution,the slope parameter L depends slightly on the prior distribution,and the skewness parameter(Jsym)depends strongly on the prior distribution.

symmetry energy of nuclear matterBayesian inference approachobservational data of neutron starsneutron skin thicknessprior distribution

谢文杰

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运城学院物理与电子工程系,运城 044000

核物质对称能 贝叶斯统计方法 中子星观测数据 中子皮厚度 先验分布

山西省基础研究计划项目山西省留学人员科技活动择优资助项目运城学院学科建设项目资助

2021030212308520220037

2024

中国科学(物理学 力学 天文学)
中国科学院

中国科学(物理学 力学 天文学)

CSTPCD北大核心
影响因子:0.644
ISSN:1674-7275
年,卷(期):2024.54(2)
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