Nambu-Jona-Lasinio模型中强子-夸克混合相原中子星的轻子效应
Lepton effects on the proto-neutron stars with the hadron-quark mixed phase in the Nambu-Jona-Lasinio model
摘要：
研究了在有限温度下β平衡下含轻子的杂化星的结构。对于夸克相，我们采用三味Nambu-Jona-Lasinio（NJL）模型。对于强子相，我们采用了Shen等人的核物质状态方程。该状态方程是在考虑树体效应的相对论平均场论框架下建立的。对于强子-夸克相变，我们采用体吉布斯结构或麦克斯韦结构来考虑由{ \it有限尺寸效应}引起的不确定性。我们发现，纯夸克相位并不出现在稳定的星核在所有情况下。随着相变的发生，轻子分数越高，最大质量值$\sim 10 %$越大。相反，在没有过渡的情况下，它们降低了$\sim 10 %$。我们还发现，在NJL模型中，轻子分数对不稳定星的结构比温度更重要。这个结果对于许多天体物理现象都很重要，例如大质量恒星的核心坍缩。
英文摘要：
We study the structures of hybrid stars with leptons at finite temperature under beta equilibrium. For the quark phase, we use the three flavor Nambu-Jona-Lasinio (NJL) model. For the hadron phase, we adopt nuclear equation of state (EOS) by Shen et al.. This EOS is in the framework of the relativistic mean field theory including the tree body effects. For the hadron-quark phase transition, we impose the bulk Gibbs construction or the Maxwell construction to take into account uncertainties by {\it finite size effects}. We find that the pure quark phase does not appear in stable star cores in all cases. With the phase transition, the maximum masses increase $\sim 10 %$ for high lepton fraction. On the contrary, without the transition, they decrease $\sim 10 %$. We also find that, in the NJL model, the lepton fraction is more important for structures of unstable stars than the temperature. This result is important for many astrophysical phenomena such as the core collapse of massive stars.
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