Abstract
We investigate the equation of state (EOS) and the corresponding sound velocity of the dense matter in hybrid neutron stars. For the hadron matter, the Bruckner–Hartree–Fock (BHF) many-body theory with Bonn-B potential is adopted. For the quark matter, the Dyson–Schwinger quark model is adopted, with the rainbow approximation and the Gaussian type effective interaction for quark–gluon vertex and gluon propagator. The phase transition is considered with both Maxwell condition and Gibbs condition. Then, the sound velocity in the pure hadron phase, pure quark phase and the mixed phase are obtained. The causality requirement [Formula: see text] puts a strong constraint on the EOS from BHF theory. In quark matter, it is found that [Formula: see text] and varies slowly. In the mixed phase with Gibbs condition, the sound velocity varies strongly and nonmonotonically.
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