Study of hybrid stars with nonstrange quark matter cores

In this work, under the hypothesis that quark matter may not be strange [Phys. Rev. Lett. 120, 222001 (2018)], we adopt a modification of the coupling constant of the four-quark scalar interaction $G\rightarrow G_1+G_2\langle\bar{\psi}\psi\rangle$ in the 2-flavor Nambu-Jona-Lasinio model to study nonstrange hybrid stars. According to lattice QCD simulation results of the critical temperature at zero chemical potential, $G_1$ and $G_2$ are constrained as $G_1\in(1.935, 1.972)$ GeV$^{-2}$, and $G_2\in(-1.582, -0.743)$ GeV$^{-5}$, respectively. To obtain hybrid equation of states, the Maxwell construction is used to describe the first-order confinement-deconfinement phase transition in hybrid stars. With recent measurements on neutron star mass, radius, and tidal deformability, the hybrid equation of states are constrained. The result suggests that pure nonstrange quark matter cores can exist in hybrid stars, possessing 0.014-0.026 solar mass with the bag constant $B^{1/4}$ in a range of 148-161 MeV. It is argued that the binary neutron stars in GW170817 should be hadron stars.
Comment: 11 pages, 10 figures