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Constraining the Nuclear Symmetry Energy and Properties of the Neutron Star from GW170817 by Bayesian Analysis

Li Yuxi, Sun Sat-Sen University,Wen Dehua,Zhang Jing

The European Physical Journal A(2021)SCI 3区

South China University of Technology

Cited 25|Views11
Abstract
Based on the distribution of tidal deformabilities and component masses of binary neutron star merger GW170817, the parametric equation of state (EOS) is employed to probe the nuclear symmetry energy and the properties of the neutron star. To obtain a proper distribution of the parameters of the EOS that is consistent with the observation, Bayesian analysis is used and the constraints of causality and maximum mass are considered. From this analysis, it is found that the symmetry energy and pressure at twice the saturation density of nuclear matter can be constrained within $$E_{sym}(2{\rho _{0}}) = 34.5^{+20.5}_{-2.3}$$ MeV and $$P (2{\rho _{0}}) = 3.81^{+1.18}_{-2.32}\times 10^{34}$$ dyn cm $$^{-2}$$ at 90% credible level, respectively. Moreover, the constraints on the radii and dimensionless tidal deformabilities of canonical neutron stars are also demonstrated through this analysis, and the corresponding constraints are 10.80 km $$\le R_{1.4} \le $$ 13.20 km and $$133 \le \Lambda _{1.4} \le 686$$ at 90% credible level, with the most probable value of $$\bar{R}_{1.4}$$ = 12.60 km and $$\bar{\Lambda }_{1.4}$$ = 500, respectively. With respect to the prior, our result (posterior result) prefers a softer EOS, corresponding to a lower expected value of symmetry energy, a smaller stellar radius, and a smaller tidal deformability.
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要点】:本文通过贝叶斯分析对双星中子星合并GW170817的潮汐形变和组件质量分布进行研究,约束了核对称能以及中子星性质,揭示了更软的方程态(EOS)参数。

方法】:使用参数化方程态(EOS)和贝叶斯分析,考虑因果性和最大质量约束,获取与观测一致EOS参数的分布。

实验】:通过分析得到了核对称能在 twice the saturation density 下的能量和压力分别为 $E_{sym}(2{\rho {0}}) = 34.5^{+20.5}{-2.3}$ MeV 和 $P (2{\rho {0}}) = 3.81^{+1.18}{-2.32}\times 10^{34}$ dyn cm$^{-2}$,以及典型中子星半径和潮汐形变的无量纲约束($10.80$ km $\le R_{1.4} \le 13.20$ km 和 $133 \le \Lambda _{1.4} \le 686$),使用的数据集为GW170817观测数据。