Neutrino interaction with matter in a noninertial frame

TL;DR

This paper investigates how neutrinos interact and oscillate in a rotating matter environment, deriving the Dirac and Schrödinger equations in noninertial frames to understand the effects of rotation on neutrino behavior.

Contribution

It presents a novel derivation of neutrino equations in rotating matter and analyzes the impact of rotation on neutrino oscillation resonance conditions.

Findings

Neutrino energy levels are derived for ultrarelativistic particles in rotating matter.

The effective Schrödinger equation for neutrino oscillations in rotating matter is established.

Rotation can significantly influence neutrino oscillation resonance conditions.

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 Schr\"{o}dinger 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.