Neutrino Emissivity of Degenerate Quark Matter

An exact numerical calculation of neutrino emissivity of two and three flavour quark matter have been carried out. We find that the neutrino emissivity obtained from the Iwamoto formula is in qualitative agreement with our calculation for two flavour quark matter. For three flavour case, on the other hand we find that the Iwamoto formula overestimates the numerical values by $\sim$2 orders of magnitude or more for d decay and agrees with the s decay results within a factor of 3-4. The dependence of the emissivity on temperature, strong coupling constant and baryon density is also quite different from the Iwamoto formula.