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- Title
Neutrino interaction with background matter in a non-inertial frame.
- Authors
Dvornikov, Maxim
- Abstract
We study Dirac neutrinos propagating in rotating background matter. First we derive the Dirac equation for a single massive neutrino in the non-inertial frame, where matter is at rest. This equation is written in the effective curved spacetime corresponding to the co-rotating frame. We find the exact solution of the Dirac equation. The neutrino energy levels for ultrarelativistic particles are obtained. Then we discuss several neutrino mass eigenstates, with a nonzero mixing between them, interacting with rotating background matter. We derive the effective Schrödinger equation governing neutrino flavor oscillations in rotating matter. The new resonance condition for neutrino oscillations is obtained. We also examine the correction to the resonance condition caused by the matter rotation.
- Subjects
NEUTRINO interactions; NON-inertial frame; DIRAC equation; ROTATIONAL motion; NEUTRINO mass; RELATIVISTIC particles
- Publication
Modern Physics Letters A, 2015, Vol 30, Issue 23, p-1
- ISSN
0217-7323
- Publication type
Article
- DOI
10.1142/S0217732315300177