Neutrino energy quantization in rotating medium

Exact solution of the modified Dirac equation in rotating medium is found in polar coordinates in the limit of vanishing neutrino mass. The solution for the active lefthanded particle exhibit properties similar to those peculiar for the charged particle moving in the presence of a constant magnetic field. Accordingly, the particle in the rotating matter has circle orbits with energy levels, analogous to the Landau levels in magnetic field. The relevant physical realization of the problem is motion of neutrino inside the rotating neutron star. The feature of such motion to form binding states leads to the prediction of the new mechanism for neutrino trapping. The solution found can be used for detailed description of relativistic and nearly massless neutrino dynamics in neutron stars. Results obtained further develop the “method of exact solutions” in application to particle interactions in presence of dense matter. Recently a method for calculation of various processes of elementary particles interaction proceeding in matter has been developed in a series of our papers (see [1] and references therein). The framework of the method is similar to the Furry representation in quantum electrodynamics and implies the use of exact solutions of the wave equations for particles wave functions [2,3] to account for interaction with matter. The “exact solutions method” has been already applied for description of neutrino propagation in different media and electromagnetic fields and also for evaluation of the quantum theory of the spin light of neutrino [2] and spin light of electron [1,3] in matter, the two recently proposed new mechanisms of electromagnetic radiation produced by a neutrino or an electron moving in matter. The exact solutions of correspondent modified Dirac equations in cases of a neutrino and an electron moving in matter at rest were obtained in [2] and [3] respectively. Then we we [email protected] [email protected]