Abstract
Chiral and pion superfluidity phase transitions are studied within NJL model. The model parameters are fitted by pion mass and decay constant together with recent isospin density from lattice QCD. Dense and cold QCD matter suffered the first order chiral phase transition during the quark chemical potential increase. Based on the studies of phase structures, the equation of states (EoS) of dense QCD matter is calculated with the conditions of β equilibrium and electric charge neutrality. Take the EoS as input, the mass-radius relation of up-down quark stars is predicted, which is consistent with recent observations of heaviest mass and radius of 1.4M⊙.
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