Unification of Neutrino-Neutrino and Neutrino-Antineutrino Oscillations

Abstract

In the case of two-generation Majorana neutrinos, we derive the oscillation probabilities for $\nu \leftrightarrow \nu$, $\nu^c \leftrightarrow \nu^c$, and $\nu \leftrightarrow \nu^c$ within a unified framework using a relativistic equation. We demonstrate that the Majorana phase arises not from lepton number violation but from chirality change. Additionally, we verify the conservation of unitarity. Notably, we find that the oscillation probabilities for $\nu \leftrightarrow \nu^c$ derived in this paper differ significantly from previous results, particularly in the absence of zero-distance effects and direct CP violation.