Oscillations of Dirac and Majorana neutrinos in matter and a magnetic field

Details Oscillations of Dirac and Majorana neutrinos in matter and a magnetic field Oscillations of Dirac and Majorana neutrinos in matter and a magnetic field

2008-09-05

arxiv.org/abs/0809.0963v2

Phys.Rev.D79:113015,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

RevTeX4, 15 pages, 4 eps figures. The paper was significantly revised; 17 references were added, many misprints throughout the

Scientific paper

10.1103/PhysRevD.79.113015

We study the evolution of massive mixed Dirac and Majorana neutrinos in matter under the influence of a transversal magnetic field. The analysis is based on relativistic quantum mechanics. We solve exactly the evolution equation for relativistic neutrinos, find the neutrino wave functions, and calculate the transition probability for spin-flavor oscillations. We analyze the dependence of the transition probability on the external fields and compare the cases of Dirac and Majorana neutrinos. The evolution of Majorana particles in vacuum is also studied and correction terms to the standard oscillation formula are derived and discussed. As a possible application of our results we discuss the spin-flavor transitions in supernovae.

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