Neutrino interaction with background matter in a noninertial frame

TL;DR

This paper investigates how Dirac neutrinos behave in rotating background matter by deriving the Dirac equation in a noninertial frame, solving it exactly, and analyzing neutrino oscillations and resonance conditions affected by rotation.

Contribution

It introduces a novel derivation of the Dirac equation for neutrinos in a rotating frame and explores the impact of rotation on neutrino oscillations and resonance conditions.

Findings

Exact solutions for neutrino energy levels in rotating matter.

Derived the effective Schrödinger equation for neutrino flavor oscillations in rotating frames.

Identified a new resonance condition influenced by matter rotation.

Abstract

We study Dirac neutrinos propagating in rotating background matter. First we derive the Dirac equation for a single massive neutrino in the noninertial frame, where matter is at rest. This equation is written in the effective curved space-time corresponding to the corotating 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 Schr\"odinger 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.