Consequences of Majorana and Dirac mass mixing for neutrino oscillations

Physics – Nuclear Physics

Scientific paper

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Neutrinos, Nuclear Physics, Oscillations, Particle Mass, Leptons, Matrices (Mathematics), Solar Neutrinos

Scientific paper

Consideration is given to the possible second class of neutrino oscillations which can arise when both Majorana and Dirac neutrino mass terms exist, which mixes neutral members of weak isospin doublets with singlets of the same chirality. The formalism for second-class oscillations involving a single lepton family is developed, and it is found that these oscillations result in the depletion of an electron neutrino beam with the apparent nonconservation of probability. Possible phenomenological implications for neutrino oscillation experiments, including solar neutrino, reactor and beam dump experiments, are discussed. Finally, a formalism is developed for the case when both the first and second classes of neutrino oscillation are present.

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