Neutrino pair emission from Cooper pair breaking and recombination in superfluid quark matter

For the low energy Standard Model neutrino-matter interactions, we calculate neutrino pair (νν̄) emissivities in superfluid quark matter. Just below the critical temperature, Cooper pairs continuously break and recombine, resulting in the emission of νν̄ pairs with a rate that greatly exceeds the standard quark modified Urca and bremsstrahlung rates. At the same baryon density in baryonic and quark matter, the ratio of baryon to quark νν̄ emissivities lies in the range 2–5 for the densities of interest in the long-term cooling of solar mass compact stars. We also find that in matter containing hyperons, νν̄ emission can occur with hyperons of all species.