English

Generalized Dirac-Pauli equation and spin light of neutrino in magnetized matter

High Energy Physics - Phenomenology 2017-08-23 v1

Abstract

We consider propagation of a massive neutrino in matter within the quantum approach based on the two equations for the neutrino field: the first one is the Dirac-Pauli equation for a massive neutrino in an external magnetic field generalized on the inclusion of effects of the background matter; the second one is the modified Dirac equation derived directly from the neutrino-matter interaction Lagrangian. On the basis of these two equations the quantum theory of a neutrino moving in the background matter is developed (the exact solutions of these equations are found and classified over the neutrino spin states, the corresponding energy spectra are also derived). Using these solutions we study within the quantum approach the spin light of neutrino (SLνSL\nu) in matter with the effect of a longitudinal magnetic field being also incorporated. In particular, the SLνSL\nu radiation rate and total power are derived. The use of the generalized Dirac-Pauli equation also enables us to consider the SLνSL\nu in matter polarized under the influence of strong magnetic field.

Keywords

Cite

@article{arxiv.hep-ph/0502210,
  title  = {Generalized Dirac-Pauli equation and spin light of neutrino in magnetized matter},
  author = {Alexander Grigoriev and Alexander Studenikin and Alexei Ternov},
  journal= {arXiv preprint arXiv:hep-ph/0502210},
  year   = {2017}
}

Comments

in: "Particle Physics in Laboratory, Space and Universe", ed. by Alexander Studenikin, World Scintific Publishing Co., Singapore, 2005, pp 55-64 (Proceedings of the 11th Lomonosov Conference on Elementary Particle Physics)