Determination of the strength of the vector-type four-quark interaction in the entanglement Polyakov-loop extended Nambu-Jona-Lasinio model

We determine the strength G(v) of the vector-type four-quark interaction in the entanglement Polyakovloop extended Nambu-Jona-Lasinio (EPNJL) model from the results of recent lattice QCD simulations with two-flavor Wilson fermion. The quark number density is normalized by the Stefan-Boltzmann limit. The strength determined from the normalized quark number density at small baryon chemical potential mu and temperature T (which is higher than the pseudocritical temperature T-c of the deconfinement transition) is G(v) = 0.33G(s), where G(s) is the strength of the scalar-type four-quark interaction. We explore the hadron-quark phase transition in the mu-T plane by using the two-phase model in which the quantum hadrodynamics model is used for the hadron phase and the EPNJL model is used for the quark phase. When G(v) 0.33G(s), the critical baryon chemical potential of the transition at zero T is mu(c) similar to 1.6 GeV, which accounts for two-solar-mass measurements of neutron stars in the framework of the hadron-quark hybrid star model.