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The recent measurement of a $1.97\pm 0.04$ solar-mass pulsar places astringent lower bound on the maximum mass of compact stars and thereforechallenges the existence of any agents that soften the equation of state ofultra-dense matter. We investigate whether hyperons and/or quark matter can beaccommodated in massive compact stars by constructing an equation of statebased on a combination of phenomenological relativistic hyper-nuclear densityfunctional and an effective model of quantum chromodynamics (theNambu-Jona-Lasinio model). Stable configurations are obtained with $M \ge 1.97M_{\sun}$ featuring hyper-nuclear and quark matter in color superconductingstate if the equation of state of nuclear matter is stiff above the saturationdensity, the transition to quark matter takes place at a few times the nuclearsaturation density, and the repulsive vector interactions in quark matter aresubstantial.

Composition and stability of hybrid stars with hyperons and quark color-superconductivity