Neutrino energy quantization in rotating media: New mechanism for neutrino trapping inside dense rotating stars

Physics

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Scientific paper

We have developed quite a powerful method in investigations of different phenomena that can appear when neutrinos propagate in dense matter. The method is based on use of modified Dirac equations that contain correspondent effective potentials to account for the matter influence on neutrinos. For several particular cases we have found exact solutions for particles energy spectra and wave functions in matter. Within the developed method we consider neutrino propagation in a rotating medium and get the exact solution of the corresponding modified Dirac equation for a neutrino. From the obtained solution it follows that the neutrino energy spectrum exhibits very exiting feature: the particle's motion in the plane transversal to the matter rotation axes is quantized. This can be interpreted as the neutrino motion on circular orbits that resembles an electron motion on circular orbits in a constant magnetic field (the well known Landau energy levels in the magnetic field). Astrophysical and cosmological consequences of this phenomenon are discussed. In particular, the discovered neutrino energy quantization in a rotating medium can be considered as a new mechanism for low-energy neutrinos trapping inside dense rotating stars.

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