论文标题
地壳对中子星的经验关系的影响
Effect of the crust on neutron star empirical relations
论文作者
论文摘要
我们分析了状态的外壳方程如何影响几种中子星形的特性，以及它如何影响天体物理观察结果推论的可能约束。使用三个不同的地壳，我们生成了三组与模型无关的状态方程，描述了围绕饱和密度的泰勒膨胀的出色物质。状态方程在热力学上是一致的，因果关系，并且与天体物理观测兼容。研究了潮汐变形性$λ$与紧凑型$ c $，爱情$ k_2 $的爱情和质量$ m $的半径之间的关系，以及国家地壳方程式对所分析关系的影响。在大多数关系中，状态外壳方程的影响并不比2 \％更大。但是，如果考虑了固定的中子星质量，则潮汐变形性与半径之间的关系取决于外壳。我们发现关系$λ_{m_i} =αr_{m_i}^β$几乎变得精确而独立于大型中子星。结果表明，可以从GW179817中确定1.4 $ m_ \ odot $ star的潮汐变形性，有效的潮汐变形性$ \tildeλ$，其精度至少为$ \％\％$。确认了$ \tildeλ$与中子恒星二进制最大恒星的半径之间的高度相关性，但是，证明外壳在这种关系上的作用约为$ \％\％$。我们发现关系$λ_1/λ_2= q^a $取决于$ m _ {\ text {chirp}} $作为$ a \ sim \ sim \ sqrt {m _ {m _ {\ text {chirp}}}} $。
We analyze how the crust equation of state affects several neutron star properties and how it impacts on possible constraints inferred from astrophysical observations. Using three distinct crusts, we generate three sets of model-independent equations of state describing stellar matter from a Taylor expansion around saturation density. The equations of state are thermodynamically consistent, causal, and compatible with astrophysical observations. The relations between the tidal deformability $Λ$ and compactness $C$, Love number $k_2$ and radius of neutron star with mass $M$ are studied, and the effect of the crust equation of state on these relations analyzed. In most of the relations, the impact of the crust equation of state is not larger that 2\%. If, however, a fixed neutron star mass is considered, the relation between the tidal deformability and the radius depends on the crust. We have found that the relation $Λ_{M_i} = αR_{M_i}^β$ becomes almost exact and crust independent for massive neutron stars. It is shown that it is possible to determine the tidal deformability of an 1.4$M_\odot$ star from the GW179817 effective tidal deformability $\tildeΛ$ with an accuracy of at least $\approx 10\%$. A high correlation between $\tildeΛ$ and the radius of the most massive star of the neutron star binary was confirmed, however, it was demonstrated that the crust has an effect of $\approx 14\%$ on this relation. We have found that the relation $Λ_1/Λ_2=q^a$ depends on $M_{\text{chirp}}$ as $a\sim \sqrt{M_{\text{chirp}}}$.
