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arXiv 1707.07524astro-ph.HE
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常声速参数化状态方程双星解的分类

Classifications of Twin Star Solutions for a Constant Speed of Sound Parameterized Equation of State

Jan-Erik Christian, Andreas Zacchi, Jürgen Schaffner-Bielich

摘要:

我们探讨了致密星在一级相变状态方程下可能的质量半径关系。低密度物质由符合核性质的核物质状态方程描述。采用恒定声速参数化方法,用声速$c_s^2=1$描述高密度物质相。提出了双星解、双星解e.具有相同的质量,但不同的半径的解决方案,被发现是兼容的$M \ge 2M_\odot$脉冲星质量约束。我们显示的质量和半径差异的过渡参数的依赖性,并划定较高的双星质量更有可能伴随着大的半径差异。这些大质量双星是由能量密度的高不连续值和最低可能的跃迁压力值产生的,这些跃迁压力值仍然导致在强子分支的最大值处的$M \geq 2M_\odot$质量。

英文摘要:

We explore the possible mass radius relation of compact stars for the equation of states with a first order phase transition. The low density matter is described by a nuclear matter equation of state resulting from fits to nuclear properties. A constant speed of sound parametrization is used to describe the high density matter phase with the speed of sound $c_s^2=1$. A classification scheme of four distinct categories including twin star solutions, i. e. solutions with the same mass but differing radii, is found which are compatible with the $M \ge 2M_\odot$ pulsar mass constraint. We show the dependence of the mass and radius differences on the transition parameters and delineate that higher twin star masses are more likely to be accompanied by large radius differences. These massive twin stars are generated by high values of the discontinuity in the energy density and the lowest possible values of the transition pressure that still result in masses of $M \geq 2M_\odot$ at the maximum of the hadronic branch.

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