Abstract
We obtain a relativistically covariant wave equation for neutrinos in dense matter and electromagnetic field, which describes both flavor oscillations and neutrino spin rotation. Using this equation we construct a quasiclassical theory of these phenomena. We obtain the probabilities of arbitrary spin-flavor transitions assuming the external conditions to be constant. We demonstrate that the resonance behavior of the transition probabilities is possible only when the neutrino flavor states cannot be described as superpositions of the mass eigenstates. We discover that a resonance, which is similar to the Mikheev--Smirnov--Wolfenstein resonance, takes place for neutrinos in magnetic field due to the transition magnetic moments. This resonance gives an opportunity to determine, whether neutrinos are Dirac or Majorana particles.
Highlights
The phenomenological theory of neutrino oscillations in vacuum is based on the pioneer works by B
We predict resonance behaviour of neutrino in magnetic field due to the transition moments, which was unknown before. Both this resonance and the resonance for neutrino in moving matter, which is a generalization of the famous Mikheev–Smirnov–Wolfenstein resonance, are consequences of the fact that in the general case the neutrino states cannot be described as a superposition of the mass eigenstates, when neutrino propagates in matter and electromagnetic field
In the present paper we have studied neutrino flavor oscillation and spin rotation in external fields
Summary
The phenomenological theory of neutrino oscillations in vacuum is based on the pioneer works by B. If the background medium moves relative to the laboratory reference frame or if it is polarized by some external electromagnetic field, the neutrino helicity can change This effect takes place, since there is a preferred direction different from the direction of the neutrino momentum in these cases. The value of the induced magnetic moment should be calculated for a particular medium (e.g., in [15] it was calculated for the medium composed of electrons only) It was not until [9] that the external medium was for the first time considered as a factor, which results in an actual spin precession of the neutrino. VII we discuss some phenomenological consequences of the results obtained
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