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arXiv · 2203.11791

Hybrid stars and QCD phase transition with a NJL-like model

Bing-Jun Zuo·Yong-Feng Huang·Hong-Tao Feng
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Abstract

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 $\alpha$ 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 $(\Lambda)$. It is found that the stiffness of the EOS increases with $\alpha $, 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 $T-\mu$ plane.

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Bing-Jun Zuo, Yong-Feng Huang, Hong-Tao Feng. 2022-03-22. Hybrid stars and QCD phase transition with a NJL-like model. https://doi.org/10.1103/physrevd.105.074011

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