Geometric and Majorana phases in neutrino oscillations
arXiv:2107.11434 · doi:10.1103/PhysRevD.105.033002
Abstract
Geometric (Aharonov--Anandan) phases in neutrino oscillations have been claimed [Phys. Lett. B 780 (2018) 216] to be sensitive to the Majorana phases in neutrino mixing. More recently, however, it has been pointed out [Phys. Lett. B 818 (2021) 136376] that the proposed phases are not gauge invariant. Using both kinematic and geometric approaches, we show that all gauge-invariant Aharonov--Anandan phases (including the off-diagonal geometric phases associated with flavor transitions) are independent of the Majorana phases. This finding, which generalizes the well-known fact that conventional oscillation experiments cannot discern the Dirac or Majorana nature of the neutrino, implies that a hypothetical interference experiment cannot distinguish between the two either.
7 pages
References in corpus (11)
- Geometric phase from Aharonov-Bohm to Pancharatnam-Berry and beyond
- Neutrino-antineutrino correlations in dense anisotropic media
- Neutrino propagation in media: Flavor-, helicity-, and pair correlations
- Helicity coherence in binary neutron star mergers and non-linear feedback
- The Quantum Geometric Phase between Orthogonal States
- Non-cyclic phases for neutrino oscillations in quantum field theory
- Geometric phases in neutrino oscillations with nonlinear refraction
- Manifestations of non-zero Majorana CP violating phases in oscillations of supernova neutrinos
- Theoretical correlation between possible evidences of neutrino chiral oscillations and polarization measurements
- Comment on: "Geometric phase of neutrinos: differences between Dirac and Majorana neutrinos" [Phys. Lett. B 780, 216 (2018)]
- Mixed state geometric phase for neutrino oscillations