Neutral quark matter in a Nambu-Jona-Lasinio model with vector interaction

We investigate the three flavor Nambu-Jona-Lasinio model of neutral quark matter at zero temperature and finite density, taking into account the scalar, the pseudoscalar, and the Kobayashi-Maskawa-'t Hooft interactions as well as the repulsive vector plus axial-vector interaction terms (vector extended Nambu-Jona-Lasinio). We focus on the effect of the vector interaction on the chiral restoration at finite density in neutral matter. We also study the evolution of the charged pseudoscalar meson energies as a function of the quark chemical potential.