Energies of two-flavor neutrino oscillations in uniform mass distribution using Dirac equation

Abstract

Neutrino oscillations is a phenomenon where a neutrino flavor oscillates as a result of cohesive electron scattering and neutral currents which affect a traveling neutrino. Existing models using Dirac equations only described neutrino oscillations in a vacuum, and a model using Dirac equations to outline the mechanism of neutrino oscillation in matter still vital. This study attempted to extend the model for vacuum to a model for uniform mass distribution. Resulting energy eigenvalues are seen to be merely the vacuum energy eigenvalues but evaluated at the new mass values of the neutrinos.