Unification of Neutrino-Neutrino and Neutrino-Antineutrino Oscillations

• Main Authors: Kimura, Keiichi, Takamura, Akira
• Format: Journal Article
• Language: English
• Published: 12-01-2021
• Subjects: Physics - High Energy Physics - Phenomenology
• DOI: 10.48550/arxiv.2101.04509

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.