TITLE:
Majorana Neutrino Oscillations in Vacuum
AUTHORS:
Yuber Ferney Perez, Carlos Jose Quimbay
KEYWORDS:
Majorana Fermions; Majorana Neutrino Oscillations; Transition Probability; Non-Relativistic and Ultra-Relativistic Approximations
JOURNAL NAME:
Journal of Modern Physics,
Vol.3 No.8,
August
15,
2012
ABSTRACT: In the context of a type I seesaw scenario which leads to get light left-handed and heavy right-handed Majorana neutrinos, we obtain expressions for the transition probability densities between two flavor neutrinos in the cases of left-handed and right-handed neutrinos. We obtain these expressions in the context of an approach developed in the canonical formalism of Quantum Field Theory for neutrinos which are considered as superpositions of mass-eigenstate plane waves with specific momenta. The expressions obtained for the left-handed neutrino case after the ultra-relativistic limit is taking lead to the standard probability densities which describe light neutrino oscillations. For the right-handed neutrino case, the expressions describing heavy neutrino oscillations in the non-relativistic limit are different respect to the ones of the standard neutrino oscillations. However, the right-handed neutrino oscillations are phenomenologically restricted as is shown when the propagation of heavy neutrinos is considered as superpositions of mass-eigenstate wave packets.