Spin light of a neutron in classical and quantum theories

In this paper, we try to give a systematic exposition of the classical and quantum description of relativistic neutrons radiation. Here we show that the correspondence principle in the spin precession entails the complete agreement of the classical and quantum properties of radiation (total power, angular distribution, linear and circular polarization in a full accordance with the results of well-known quantum theory of A. Ternov, V. Bagrov, A. Khapaev. Finally, we give estimates for the time and length of radiation self-polarization of the neutrons.