Dense matter in compact stars cools efficiently by neutrino emission via the direct Urca processes n→p+e+ν̄e and p+e→n+νe. Below the pairing phase transition temperature Tc these processes are suppressed - at asymptotically low temperatures exponentially. We compute the emissivity of the Urca process at one loop for temperatures T≤Tc, in the case where the baryons are paired in the1S0partial wave. The Urca process is suppressed linearly, rather than exponentially, within the temperature range 0.1≤T/Tc≤1. The charge-current Cooper pair-breaking process contributes up to 50% of the total Urca emissivity in this temperature range. © 2004 Elsevier B.V. All rights reserved.
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