论文标题
与NJL样模型的混合星和QCD相变
Hybrid stars and QCD phase transition with a NJL-like model
论文作者
论文摘要
在本文中，我们引入了一个自洽的平均场近似，以研究NJL模型框架内的QCD相变和混合恒星的结构。在我们的实践中，引入了现象学参数$α$，它反映了有限的化学势下“直接”通道和“交换”通道的权重。通过使用状态（EOS）的交叉方程来求解Tolman-Oppenheimer-Volkoff方程来获得群众关系。我们计算两个太阳质量杂交恒星中的密度分布，以显示不同参数的效果。我们还计算潮汐爱数$ k_2 $和可变形性$（λ）$。发现EOS的刚度随$α$而增加，这使我们能够通过模型获得最大质量为2.40太阳能质量的混合恒星。超过2.06个太阳质量中子星的观察可能表明手性转变可能是整个$ t-μ$平面上的交叉。
In this paper, we introduce a self-consistent mean field approximation to study the QCD phase transition and the structure of hybrid stars within the framework of NJL model. In our practice, a phenomenological parameter $α$ is introduced, which reflects the weights of "direct" channel and "exchange" channel under a finite chemical potential. The mass-radius relation is obtained by solving the Tolman-Oppenheimer-Volkoff equation using a crossover equation of state (EOS). We calculate the density distribution in a two solar-mass hybrid star to show the effects of different parameters. We also calculate the tidal Love number $k_2$ and the deformability $(Λ)$. It is found that the stiffness of the EOS increases with $α$, which allows us to obtain a hybrid star with a maximum mass of 2.40 solar-mass through our model. The observation of over 2.06 solar-mass neutron stars may indicates that the chiral transition may be a crossover on the whole $T-μ$ plane.
