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arXiv 1909.02698gr-qc
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用引力波测量中子星状态方程:前40个双中子星合并

Measuring the neutron star equation of state with gravitational waves: the first forty binary neutron star mergers

Francisco Hernandez Vivanco, Rory Smith, Eric Thrane, Paul D. Lasky, Colm Talbot, Vivien Raymond

摘要:

来自双中子星合并的引力波包含了由中子星状态方程编码的关于超核密度物质的丰富信息。我们可以通过分析中子星之间的潮汐相互作用来测量物态方程,而潮汐相互作用可以用潮汐形变来量化。需要多个合并事件来探测中子星质量范围内的状态方程。分析中包含的事件越多,对状态方程的约束就越强。在本文中,我们建立在以前的工作,探索约束,LIGO和处女座可能会放置在中子星状态方程相结合的第一个40二元中子星检测,一个里程碑,我们计划在积累的设计敏感性数据的第一年达到。我们进行贝叶斯推断的一个现实的模拟数据集的二进制获得后验分布的中子星潮汐参数。为了结合后验样本从多个观察,我们采用了随机森林回归,这使我们能够有效地插值的似然分布。假设合并率为1540 Gpc $^{-3}$ yr $^{-1}$和LIGO-室女座探测器网络在第三次观测运行的灵敏度下运行一年,再加上另外8个月的设计灵敏度,我们发现1.4 $M_\odot$中子星的半径可以被限制在90%置信度的$\sim 10$ %。同时,在90%置信度下,核饱和密度两倍处的压力可被约束为$\sim 45$ %。最后,我们在论文发表后的附录中给出了状态方程所允许的最大中子星质量的后验分布。我们发现,在90%的置信度下,最大质量可以被约束为$\sim 0.3$ $M_\odot$。

英文摘要:

Gravitational waves from binary neutron star coalescences contain rich information about matter at supranuclear densities encoded by the neutron star equation of state. We can measure the equation of state by analyzing the tidal interactions between neutron stars, which is quantified by the tidal deformability. Multiple merger events are required to probe the equation of state over a range of neutron star masses. The more events included in the analysis, the stronger the constraints on the equation of state. In this paper, we build on previous work to explore the constraints that LIGO and Virgo are likely to place on the neutron star equation of state by combining the first forty binary neutron star detections, a milestone we project to be reached during the first year of accumulated design-sensitivity data. We carry out Bayesian inference on a realistic mock dataset of binaries to obtain posterior distributions for neutron star tidal parameters. In order to combine posterior samples from multiple observations, we employ a random forest regressor, which allows us to efficiently interpolate the likelihood distribution. Assuming a merger rate of 1540 Gpc$^{-3}$ yr$^{-1}$ and a LIGO-Virgo detector network operating for one year at the sensitivity of the third-observation run, plus an additional eight months of design sensitivity, we find that the radius of a 1.4 $M_\odot$ neutron star can be constrained to $\sim 10$% at 90% confidence. At the same time, the pressure at twice the nuclear saturation density can be constrained to $\sim 45$ % at 90% confidence. Finally, we add an appendix following publication of the paper in the journal, showing the posterior distribution of the maximum neutron star mass allowed by the equation of state. We find that the maximum mass can be constrained to $\sim 0.3$ $M_\odot$ at 90% confidence.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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