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.

24pages. arXiv admin note: text overlap with arXiv:2101.03555

References in corpus (3)

• Limit on Neutrinoless ββ Decay of Xe-136 from the First Phase of KamLAND-Zen and Comparison with the Positive Claim in Ge-76
• Physics Potential of a Long Baseline Neutrino Oscillation Experiment Using J-PARC Neutrino Beam and Hyper-Kamiokande
• Properties of CP Violation in Neutrino-Antineutrino Oscillations

Cited by in corpus (2)

• Non-unitary Leptonic Flavor Mixing and CP Violation in Neutrino-antineutrino Oscillations
• Resonant Spin-Flavor Precession of Sterile Neutrinos