QCD Color Vector Potential Effects on Color Flavor Locked Quark Stellar Cores

We explore the color vector potential dependence of the equation of state (EoS) for a compact stellar core that has undergone a QCD phase transition into a quark color flavor locked (CFL) state. Compact stellar objects such as the pulsar PSR J1614-2230 have been found to have mass values near two solar masses thereby requiring a stiff EoS for long term stability. Under these pressures two flavor quark matter will deconfine and the chemical potentials for the up, down and strange quarks will exceed all three mass values giving rise to a three-flavor free quark core that is both electric charge neutral and in weak force thermal equilibrium. In the mean field model this mixture has a ground state that will become a color superconductor (CSC) with a fixed quark flavor and diquark color pairing, the CFL state. The appearance of the third quark flavor and the transition to a CSC state both soften the equation of state unless there is a color vector gluon exchange with a repulsive color factor. We explore numerical solutions to the spherically symmetric stellar TOV equations with an EoS that includes a single gluon exchange repulsive color force interaction and find the shift in end state TOV mass and radius values for the CFL color vector potential contribution.