Abstract
In this paper, we consider the scenario of a pure quark star which is completely composed of quarks in the pseudo-Wigner phase. The equation of state (EoS) of deconfined quark stars is studied in the framework of the two-flavor NJL model, and the self-consistent mean field approximation is employed by introducing a parameter \(\alpha \) combining the original Lagrangian and the Fierz-transformed Lagrangian, \(\mathcal{L}_{R}= (1-\alpha )\mathcal{L}+\alpha \mathcal{L}_{F}\), to measure the weights of different interaction channels. We assume deconfinement phase transition happens along with the chiral phase transition. Thus, due to the lack of description of confinement in the NJL model, the vacuum pressure is set to confine quarks at low densities, which is the pressure corresponding to the critical point of chiral phase transition. We find that the bag constant shifts from \((130\text{ MeV})^{4}\) to \((150 \text{ MeV})^{4}\) as \(\alpha \) grows. When \(\alpha \) is around 0.9, the mass-radius relations of deconfined quark stars can meet the requirement of pulsar observations. In addition, the tidal deformability \(\Lambda \) is found to range in 253 – 482, which satisfies the astronomical constraint of \(\Lambda <800\) for 1.4-solar-mass neutron stars.
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We would like to thank the anonymous referees for helpful comments and suggestions.
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This study is supported by the National Natural Science Foundation of China (under Grants No. 12233002, No. 12075117, No. 11535005, No. 12005192, and No. 11690030), National SKA Program of China No. 2020SKA0120300, China Postdoctoral Science Foundation (Grant No. 2020M672255 and No. 2020TQ0287), the National Key R&D Program of China (2021YFA0718500), Nation Major State Basic Research and Development of China (2016YFE0129300), Jiangsu Province Postgraduate Research and Practice Innovation Programme (Grant no. KYCX23_0100) and the Fundamental Research Funds for the Central Universities, No. 1227050553. Yong-Feng Huang also acknowledges the support from the Xinjiang Tianchi Program.
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Su Li-Qun led the project and wrote the manuscript. Su Li-Qun performed all the calculations, generated Figures. Su Li-Qun and Zong Hong-Shi provided the explanation of redefined bag constant. Li Cheng-Ming provided the explanation of self-consistent NJL model. Shi Chao, Huang Yong-Feng and Yan Yan revised the manuscript. Zong Hong-Shi suggested the basic physical origin of the self-consistent NJL model and redefined bag constant. Yuan Wen-Li did supplementary calculations in the revised manuscript. All authors discussed the results and commented on the manuscript.
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Su, LQ., Shi, C., Huang, YF. et al. Quark stars in the pure pseudo-Wigner phase. Astrophys Space Sci 369, 29 (2024). https://doi.org/10.1007/s10509-024-04296-5
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DOI: https://doi.org/10.1007/s10509-024-04296-5