  Investigations of thermal evolution of neutron stars with hyperon cores
require neutrino emissivities for many neutrino reactions involving strongly
degenerate particles (nucleons, hyperons, electrons, muons). We calculate the
angular integrals $I_n$ (over orientations of momenta of $n$ degenerate
particles) for major neutrino reactions with $n$ =3, 4, 5 at all possible
combinations of particle Fermi momenta. The integrals $I_n$ are necessary
ingredients for constructing a uniform database of neutrino emissivities in
dense nucleon-hyperon matter. The results can also be used in many problems of
physical kinetics of strongly degenerate systems.
