Direct Urca neutrino rate in colour superconducting quark matter

Details Direct Urca neutrino rate in colour superconducting quark matter Direct Urca neutrino rate in colour superconducting quark matter

2005-09-29

arxiv.org/abs/nucl-th/0509093v2

Phys.Rev.C73:042801,2006

Physics

Nuclear Physics

Nuclear Theory

5 pages, 2 figures; to appear in Phys. Rev. C (Rapid Comm.)

Scientific paper

10.1103/PhysRevC.73.042801

If deconfined quark matter exists inside compact stars, the primary cooling mechanism is neutrino radiation via the direct Urca processes d->u+e+antinu_e and u+e->d+nu_e. Below a critical temperature, T_c, quark matter forms a colour superconductor, one possible manifestation of which is a condensate of quark Cooper pairs in an electric-charge neutralising background of electrons. We compute the neutrino emission rate from such a phase, including charged pair-breaking and recombination effects, and find that on a material temperature domain below T_c the pairing-induced suppression of the neutrino emission rate is not uniformly exponential. If gapless modes are present in the condensed phase, the emissivity at low temperatures is moderately enhanced above that of completely unpaired matter. The importance of charged current pair-breaking processes for neutrino emission both in the fully gapped and partially gapped regimes is emphasised.

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