Abstract
Abstract
In the contact interaction model, the quark propagator has only one solution, namely, the chiral symmetry breaking solution, at vanishing temperature and density in the case of physical quark mass. We generalize the condensate feedback onto the coupling strength from the 2 flavor case to the 2+1 flavor case, and find the Wigner solution appears in some regions, which enables us to tackle chiral phase transition as two-phase coexistences. At finite chemical potential, we analyze the chiral phase transition in the conditions of electric charge neutrality and
equilibrium. The four chemical potentials,
,
,
and
, are constrained by three conditions, so that one independent variable remains: we choose the average quark chemical potential as the free variable. All quark masses and number densities suffer discontinuities at the phase transition point. The strange quarks appear after the phase transition since the system needs more energy to produce a
-quark than an
-quark. Taking the EOS as an input, the TOV equations are solved numerically, and we show that the mass–radius relation is sensitive to the EOS. The maximum mass of strange quark stars is not susceptible to the parameter
we introduced.
Funder
National Natural Science Foundation of China
Natural Science Foundation of Jiangsu Province
Major Basic Research Project of the Natural Science Foundation of the Jiangsu Higher Education Institutions
Nanjing University of Posts and Telecommunications
Subject
Astronomy and Astrophysics,Instrumentation,Nuclear and High Energy Physics