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

2008/09/30 by Maxim Dvornikov, J. Maalampi, Jukka Maalampi · 1 citation
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Dirac (video compression format) #Dirac equation #Field (mathematics) #MAJORANA #Magnetic field #Majorana equation #Neutrino #Neutrino Physics Research #Neutrino oscillation #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum electrodynamics #Quantum mechanics #Spin (aerodynamics) #Sterile neutrino #hep-ph

paper · pdf · doi:10.1103/physrevd.79.113015

published as Phys.Rev.D79:113015,2009 · RevTeX4, 15 pages, 4 eps figures. The paper was significantly revised; 17 references were added, many misprints throughout the text were corrected. The variant to be published in Phys. Rev. D

arxiv created 2009/06/18 · openalex publication_date 2009/06/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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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