Quantum Theory of Neutrino Spin-Light in Matter

The quantum theory of the spin light of neutrino ($SL\nu$) exactly accounting for the effect of the background matter is developed. The $SL\nu$ rate and power, and also the emitted photon’s energy are obtained for the different values of the neutrino momentum and density of matter. The spatial distribution of the radiation power and the dependence of the emitted photon’s energy on the direction of radiation are studied. It is also shown that, in a wide range of the neutrino momentum and densities of matter, the $SL\nu$ radiation is characterized by nearly total circular polarization. Conditions for the effective neutrino spin-light radiation in the electron plasma are discussed.