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We investigate the combined effect of the repulsive vector interaction andthe positive electric chemical potential on the chiral phase transition byconsidering neutral color superconductivity (CSC). The chiral condensate,diquark condensate and quark number densities are solved in both two-flavor andtwo-plus-one-flavor Nambu-Jona-Lasinio(NJL) models with the so calledKobayashi-Maskawa-'t Hooft term under the charge neutrality constraint. Wedemonstrate that multiple chiral critical-point structures always exist in theNJL model within the self-consistent mean-field approximation and the number ofchiral critical points can vary from zero to four, which is dependent on themagnitudes of vector interaction and the diquark coupling. The differencebetween the dynamical chemical potentials induced by vector interaction for uand d quarks can effectively reduce the Fermi sphere disparity between the twoflavors of diquark paring. Thus the vector interaction works to significantlysuppress the unstable region associated with chromomagnetic instability in thephase of neutral asymmetric homogenous CSC.

Vector interaction, charge neutrality and multiple chiral critical point structures