论文标题
$ M-R $解决方案（双子）明星的特殊点的详细分析
A Detailed Analysis of the Special Points on $M-R$ Solutions of Hybrid (Twin) Stars
论文作者
论文摘要
在Maxwell Construction的帮助下，在目前的工作中实现了中子星核中的强子Quark相变。出于目的，我们为纯野种阶段采用了六个不同且众所周知的辐射模型。用MIT袋模型描述了夸克阶段，其中袋压力$ b（ρ）$的密度依赖性用于$ b（ρ）$的不同渐近值（$ b_ {as} $）。所得的混合恒星（HS）配置在HSS的Mass-Radius图上表现出双星特性和不同的特殊点（SPS），而不论过渡密度和$ B_ {as} $的值如何。我们发现，对于$ b_ {as} $的任何特定值，与SP（$ M_ {sp} $）相对应的质量和使用不同的HADRONIC模型获得的HSS的最大质量（$ m_ {max} $），遵循几乎线性（拟合）的关系，在斜坡上，斜坡独立于$ b_ {as} $} $} $。发现HSS的$ m_ {sp} -m_ {max} $依赖性与被选为获得混合EOS的任何状态状态方程（EOS）是一致的，因此可以将这种关系视为SPS形成的上下文中的普遍关系。 $ b_ {as} $的值的更改会在$ m_ {sp} -m_ {max} $平面中移动拟合线的位置，但线性保留。
Hadron-quark phase transition in neutron star cores is achieved in the present work with the help of Maxwell construction. For the purpose we employ six different and well-known hadronic models for the pure hadronic phase. The quark phase is described with the MIT Bag model in which the density dependence of the bag pressure $B(ρ)$ is invoked for different asymptotic values ($B_{as}$) of $B(ρ)$. The resulting hybrid star (HS) configurations exhibit twin star characteristics and distinct special points (SPs) on the mass-radius diagram of the HSs irrespective of the transition densities and the value of $B_{as}$. We find that for any particular value of $B_{as}$, the mass corresponding to SP ($M_{SP}$) and the maximum mass ($M_{max}$) of the HSs, obtained with different hadronic models, follow a nearly linear (fitted) relationship where the slope is independent of the value of $B_{as}$. The $M_{SP}-M_{max}$ dependence of the HSs is found to be consistent with any hadronic equation of state (EoS) chosen to obtain the hybrid EoS and thus such relations can be considered as universal relations in the context of formation of SPs. A change in the value of $B_{as}$ shifts the position of the fitted line in the $M_{SP}-M_{max}$ plane, with the linearity, however, retained.
