Neutrino interaction with matter in a noninertial frame

Abstract

We study the system of massive and mixed neutrinos interacting with background matter moving with an acceleration. We start with the derivation of the Dirac equation for a single neutrino in the noninertial frame where matter is at rest. A particular case of matter rotating with a constant angular velocity is considered. The Dirac equation is solved and the neutrino energy levels are found for ultrarelativistic particles propagating in rotating matter. Then we generalize our results to include several neutrino generations and consider mixing between them. Using the relativistic quantum mechanics approach we derive the effective Schrödinger equation for the description of neutrino flavor oscillations in rotating matter. We obtain the resonance condition for neutrino oscillations and examine how it can be affected by the matter rotation. We also compare our results with the findings of other authors who studied analogous problem previously.

15 pages, JHEP LaTeX style; 1 reference was added, multiple misprints were corrected; version to be published in JHEP

References in corpus (4)

• Rotating effects on the Dirac oscillator in the cosmic string spacetime
• Neutrino oscillations
• On the problem of relativistic particles motion in strong magnetic field and dense matter
• Reactor Neutrino Experiments: ${\theta }_{13}$ and Beyond

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• Galvano-rotational effect induced by electroweak interactions in pulsars
• Unruh effect for neutrinos interacting with accelerated matter
• Fermions in Rotating Reference Frames
• Comment on "Neutrino interaction with matter in a noninertial frame"
• Superfluidity in neutrino clusters
• Bound-state solutions for the charged Dirac oscillator in a rotating frame in the Bonnor-Melvin-Lambda spacetime
• Comment on "Galvano-rotational effect induced by electroweak interactions in pulsars"