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arXiv 2203.14974astro-ph.HEgr-qchep-phnucl-th
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关于中子星中的声速

On the Sound Speed in Neutron Stars

Sinan Altiparmak, Christian Ecker, Luciano Rezzolla

摘要:

确定致密星中的声速$c_s$是一个重要的悬而未决的问题,它对大密度物质的行为以及中子星的引力波发射有许多影响。在此范围内,我们构造了多个连续声速的$10^7$状态方程,并建立了多个与核理论和微扰QCD相一致,与天文观测相一致的$10^8$非旋转恒星模型。通过这种方式,我们发现具有亚共形声速的EOS,即恒星内具有$c^2_s < 1/3$的EOS,在原则上是可能的,但在实践中是非常不可能的,因为我们的样本中只有$0.03\%$。因此,我们很自然地认为$c^2_s > 1/3$位于恒星内部的某个地方。使用我们的大样本,我们得到的估计在$95\%$的可信度的中子星半径的代表性恒星与$1.4$和$2.0$太阳质量,$R_{1.4}=12.42^{+0.52}_{-0.99}\,{\rm km}$,$R_{2.0}=12.12^{+1.11}_{-1.23}\,{\rm km}$,并为二进制潮汐变形的GW170817事件,$\tildeΛ_{1.186}=485^{+225}_{-211}$。有趣的是,我们的半径下限与从非常不同的论点(即阈值质量)得出的预测非常一致。最后,我们提供了简单的解析表达式,以确定作为啁啾质量的函数的最小值和最大值的$\tildeΛ$。

英文摘要:

Determining the sound speed $c_s$ in compact stars is an important open question with numerous implications on the behaviour of matter at large densities and hence on gravitational-wave emission from neutron stars. To this scope, we construct more than $10^7$ equations of state (EOSs) with continuous sound speed and build more than $10^8$ nonrotating stellar models consistent not only with nuclear theory and perturbative QCD, but also with astronomical observations. In this way, we find that EOSs with sub-conformal sound speeds, i.e. with $c^2_s < 1/3$ within the stars, are possible in principle but very unlikely in practice, being only $0.03\%$ of our sample. Hence, it is natural to expect that $c^2_s > 1/3$ somewhere in the stellar interior. Using our large sample, we obtain estimates at $95\%$ credibility of neutron-star radii for representative stars with $1.4$ and $2.0$ solar masses, $R_{1.4}=12.42^{+0.52}_{-0.99}\,{\rm km}$, $R_{2.0}=12.12^{+1.11}_{-1.23}\,{\rm km}$, and for the binary tidal deformability of the GW170817 event, $\tildeΛ_{1.186}=485^{+225}_{-211}$. Interestingly, our lower-bounds on the radii are in very good agreement with the prediction derived from very different arguments, namely, the threshold mass. Finally, we provide simple analytic expressions to determine the minimum and maximum values of $\tildeΛ$ as a function of the chirp mass.

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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