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arXiv 2211.01396astro-ph.HEgr-qc
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高级LIGO和宇宙探测器精确测量状态方程的前景

Prospects for a precise equation of state measurement from Advanced LIGO and Cosmic Explorer

Daniel Finstad, Laurel V. White, Duncan A. Brown

摘要:

对中子星合并的引力波观测可以通过测量中子星的潮汐变形对信号的影响来探测核物质状态方程。我们研究了未来引力波观测的能力,以产生一个精确的测量状态方程的双中子星的吸气。由于潮汐效应的可测量性取决于状态方程,我们探讨了几个跨越当前观测约束的状态方程。我们产生了一个人口的二元中子星所看到的模拟先进的LIGO-Virgo网络,以及由一个计划中的宇宙探测器天文台。我们执行贝叶斯推断来测量每个信号的参数,并将每个群体的测量结果结合起来,以确定$R_{1.4}$,即$1.4M_{\odot}$中子星的半径。我们发现,对于我们考虑的所有状态方程,使用321个信号,LIGO-Virgo网络能够测量$R_{1.4}$的精度超过2%,但是我们发现,根据状态方程和合并率,实现这种精度可能需要数十年的观察。另一方面,我们发现,通过一年的观测,宇宙探测器将测量$R_{1.4}$优于0.6%的精度。在这两种情况下,我们发现系统性偏差,例如来自不正确的质量先验,可以显着影响测量精度,需要努力减轻这些影响。

英文摘要:

Gravitational-wave observations of neutron star mergers can probe the nuclear equation of state by measuring the imprint of the neutron star's tidal deformability on the signal. We investigate the ability of future gravitational-wave observations to produce a precise measurement of the equation of state from binary neutron star inspirals. Since measurability of the tidal effect depends on the equation of state, we explore several equations of state that span current observational constraints. We generate a population of binary neutron stars as seen by a simulated Advanced LIGO-Virgo network, as well as by a planned Cosmic Explorer observatory. We perform Bayesian inference to measure the parameters of each signal, and we combine measurements across each population to determine $R_{1.4}$, the radius of a $1.4M_{\odot}$ neutron star. We find that with 321 signals the LIGO-Virgo network is able to measure $R_{1.4}$ to better than 2% precision for all equations of state we consider, however we find that achieving this precision could take decades of observation, depending on the equation of state and the merger rate. On the other hand we find that with one year of observation, Cosmic Explorer will measure $R_{1.4}$ to better than 0.6% precision. In both cases we find that systematic biases, such as from an incorrect mass prior, can significantly impact measurement accuracy and efforts will be required to mitigate these effects.

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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