Neutrino spin-flavor oscillations derived from the mass basis

Abstract

We consider neutrino mixing and oscillations in presence of an arbitrary constant magnetic field with nonzero transversal $B_{\perp }$ and longitudinal $B_{\parallel }$ components with respect to the direction of neutrino propagation. The electromagnetic interaction of neutrinos is determined by diagonal and transition neutrino magnetic moments that are introduced for the neutrino mass states. Explicit expressions for the effective neutrino diagonal and transition magnetic moments for the flavor basis in terms of these values for the mass states are obtained. The effective evolution Hamiltonian for the flavor neutrino and the corresponding oscillation probability are derived. The role of the longitudinal magnetic field component is examined. In particular, it is shown that: 1) $B_{\parallel }$ coupled to the corresponding magnetic moments shifts the neutrino energy, and 2) in case of nonvanishing neutrino transition magnetic moments $B_{\parallel }$ produces an additional mixing between neutrino states, both in the mass and flavor neutrino bases.

arXiv comment6 pages, no figures, V2: typos corrected

References in corpus (4)

• Evidence for oscillation of atmospheric neutrinos
• Direct Evidence for Neutrino Flavor Transformation from Neutral-Current Interactions in the Sudbury Neutrino Observatory
• Measurement of the rate of nu_e + d --> p + p + e^- interactions produced by 8B solar neutrinos at the Sudbury Neutrino Observatory
• Measurements of the Solar Neutrino Flux from Super-Kamiokande's First 300 Days

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• Neutrino quantum decoherence engendered by neutrino radiative decay
• Neutrino spin oscillations in polarized matter
• Coherence and mixedness of neutrino oscillations in a magnetic field
• Quantum witness and invasiveness of cosmic neutrino measurements
• Neutrino spin and spin-flavour oscillations in transversally moving or polarized matter
• Neutrino evolution and quantum decoherence
• A QFT-induced phase in neutrino flavour oscillations
• Neutrino oscillation in the presence of background classical sources