Non-strange quark stars from NJL model with proper-time regularisation

Abstract

The structure of light quark star is studied within a new two-flavor NJL model. By retaining the contribution from the vector term in the Fierz-transformed Lagrangian, a two-solar-mass pure quark star is achieved. To overcome the disadvantage of three-momentum truncation in the regularisation procedure, we introduce the proper-time regularisation. We also employ the newly proposed definition of vacuum pressure, in which the quasi-Wigner vacuum (corresponding to the quasi-Winger solution of the gap equation) is used as the reference ground state. Free parameter includes only a mixing constant $\alpha$ which weighs contribution from Fierz-transformed Lagrangian. We constrain $\alpha$ to be around $0.9$ by the observed mass of pulsars $PSRJ0348+0432$ and $PSRJ1614-2230$. We find the calculated surface energy density meets the requirement ($>2.80\times 10^{14}$g/cm${}^3$). Besides, for a 1.4 solar mass star, the tidal Love number $k_2$ and deformability $\Lambda$ are calculated which satisfies the constrain $200<\Lambda <800$.

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• GW190814: Circumstantial Evidence for Up-Down Quark Star
• Tidal deformability of strange stars and the GW170817 event
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• Universal relations for anisotropic interacting quark stars
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• Hybrid stars can be self-bound
• How Neutron Star Observations Point Towards Exotic Matter: Existing Explanations and a Prospective Proposal
• The chiral phase transition and equation of state in the chiral imbalance
• Tidal Deformability of Quark Stars with Repulsive Interactions