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Investigations of thermal evolution of neutron stars with hyperon coresrequire neutrino emissivities for many neutrino reactions involving stronglydegenerate particles (nucleons, hyperons, electrons, muons). We calculate theangular integrals $I_n$ (over orientations of momenta of $n$ degenerateparticles) for major neutrino reactions with $n$ =3, 4, 5 at all possiblecombinations of particle Fermi momenta. The integrals $I_n$ are necessaryingredients for constructing a uniform database of neutrino emissivities indense nucleon-hyperon matter. The results can also be used in many problems ofphysical kinetics of strongly degenerate systems.

Theory of neutrino emission from nucleon-hyperon matter in neutron stars: Angular integrals