Revisiting the Equation of State of Hybrid Stars in the Dyson-Schwinger Equation Approach to QCD

Abstract

We investigate the equation of state(EoS) and the effect of the hadron-quark phase transition of strong interaction matter in compact stars. The hadron matter is described with the relativistic mean field theory,and the quark matter is described with the Dyson-Schwinger equation approach of QCD. The complete EoS of the hybrid star matter is constructed with not only the Gibbs construction but also the 3-window interpolation. The mass-radius relation of hybrid stars is also investigated. We find that, although the EoSs of both the hadron matter with hyperon and $\Delta$-baryon and the quark matter are generally softer than that of the nucleon matter, the 3-window interpolation construction may provide an EoS stiff enough for a hybrid star with mass exceeding 2$M_{\odot }^{}$ and, in turn, solve the so called "hyperon puzzle".

19 pages, 27 figures, Completely a new appearance comparing the last version (with great extension)

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Cited by in corpus (2)

• Thermodynamics of 2+1 Flavor Polyakov-Loop Quark-Meson Model under External Magnetic Field
• Note on neutron star equation of state in the light of GW170817