  In the mean field approximation, we study the effects of weak magnetism and
pseudoscalar interaction in the neutrino energy losses caused by the direct
Urca processes on relativistic nucleons in the degenerate baryon matter. Our
formula for the neutrino energy losses incorporates the effects of nucleon
recoil, parity violation, weak magnetism, and pseudoscalar interaction. For
numerical testing of our formula, we use a self-consistent relativistic model
of the multicomponent baryon matter. We found that, due to weak magnetism
effects, relativistic emissivities increase by approximately 40-50%, while the
pseudoscalar interaction only slightly suppresses the energy losses,
approximately by 5%.
