6533b83afe1ef96bd12a705a

RESEARCH PRODUCT

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

Maxim DvornikovMaxim DvornikovJukka MaalampiJukka Maalampi

subject

PhysicsNuclear and High Energy PhysicsSterile neutrinoParticle physics010308 nuclear & particles physicsAstrophysics::High Energy Astrophysical PhenomenaHigh Energy Physics::PhenomenologyDirac (software)FOS: Physical sciencesRelativistic quantum mechanics01 natural sciencesHigh Energy Physics - PhenomenologyMAJORANAsymbols.namesakeHigh Energy Physics - Phenomenology (hep-ph)Dirac fermionQuantum electrodynamics0103 physical sciencessymbolsHigh Energy Physics::ExperimentNeutrino010306 general physicsNeutrino oscillationMajorana equation

description

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.

https://doi.org/10.1103/physrevd.79.113015