Diquark Condensates and Compact Star Cooling

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Abstract
The effect of color superconductivity on the cooling of quark stars and neutron stars with large quark cores is investigated. Various known and new quark-neutrino processes are studied. As a result, stars in the color-flavor-locked color superconducting phase cool down extremely fast. Quark stars with no crust cool down too rapidly, in disagreement with X-ray data. The cooling of stars in the Nf = 2 color superconducting phase with a crust is compatible with existing X-ray data. In addition, the cooling histories of stars with hypothetical pion condensate nuclei and a crust do not contradict the data.