On the angular distribution of the ideal gas scattering kernel

For several energies of the scattered neutron, this azimuth angle is shown to be mutually dependent on the polar angle and consequently the angular distribution of both angles is in general not isotropic. Moreover, the angular distribution depends on the temperature and the characteristics of the resonance. It is confirmed mathematically and numerically that at 0 K the new solution technique degenerates to the classical two body kinetics approach where the target nucleus is at rest and the azimuth scattering angle is independently isotropic.