Quantum states of the neutrino in a nonuniformly moving medium

Abstract

The modified Dirac equation for the neutrino in a material medium and its solution for a nonuniform motion of the medium with a velocity gradient along a certain direction are examined in the present paper. This formulation of the problem is analogous to the problem of electron motion in a constant uniform magnetic field. This is manifested through a similar character of particle wave functions that in both cases describe the states with circular orbits. A new mechanism of confinement of low-energy neutrinos in fast-rotating dense astrophysical objects is predicted based on this property of the wave functions. As an example of their application, a process of spin light ( SL ν ) of neutrino is examined in this configuration of matter.

Galvano-rotational effect induced by electroweak interactions in pulsars

“…It should be noted that, for the first time, the analogy between the motion in a rotating electroweak matter and in an external magnetic field was mentioned in ref. [24].…”

Neutrino electromagnetic interactions: A window to new physics

“…The same method of wave equations exact solutions that is used in studies of charged particles under the influence of external electromagnetic fields (including millicharged neutrinos and neutrinos with nonzero magnetic moment, see above discussions of this Section and Appendix H), as it has been explicitly demonstrated by Studenikin and Ternov (2005); Studenikin (2008), can be also used for investigations of neutrinos moving in the background matter. In particular, using the method of exact solutions for a neutrino wave function in the presence of matter it has been shown by Grigoriev et al (2007); Studenikin (2008) that the energy spectrum of a neutrino moving in a rotating media is quantized. This effect is very similar to charged particles energy quantization in a magnetic field.…”

Neutrino evolution in external environments: New effects

“…Neutrino energy quantization in rotating matter. Another interesting phenomenon is the neutrino energy quantization [11] in the case the particle propagation in a rotating medium. Using the method of exact solutions for the neutrino wave functions in the external matter [12] it was shown that the neutrino ν e energy spectrum in a rotating and magnetized matter composed of neutrons is given by [11,[13][14][15]:…”