The phase diagram of neutral quark matter with pseudoscalar condensates in the color-flavor locked phase

We calculate the phase diagram of color and electrically neutral quark matter in weak equilibrium using the NJL model at high baryon densities. We extend previous analyses by taking into account the possibility of formation of pseudoscalar meson condensates in the color-flavor locked (CFL) phase. We find that the kaon condensed phase (CFL-K0) is preferred over the CFL phase at low temperatures. It is found that the CFL-K0 phase contains no gapless modes. The results we have obtained should be of relevance for the modeling of compact stars.