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Neutrino interaction with background matter in a non-inertial frame

Maxim Dvornikov

Physics Faculty, National Research Tomsk State University, 36 Lenin Ave., 634050 Tomsk, Russia

Pushkov Institute of Terrestrial Magnetism, Ionosphere and Radiowave Propagation (IZMIRAN), 142190 Troitsk, Moscow, Russia

Institute of Physics, University of São Paulo, CP 66318, CEP 05315-970 São Paulo, SP, Brazil

E-mail Address: maxdvo@izmiran.ru

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https://doi.org/10.1142/S0217732315300177Cited by:17 (Source: Crossref)

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.

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