Neutrino flavor oscillations in rotating matter

TL;DR

This paper investigates how neutrino flavor oscillations are affected by rotating matter, deriving wave solutions and evolution equations to understand their behavior in such environments.

Contribution

It introduces a new framework for analyzing neutrino oscillations in rotating matter, including solutions to wave equations and an analog quantum evolution equation.

Findings

Neutrino wave functions in rotating matter are derived.

The evolution of neutrino flavor states in rotating environments is characterized.

Implications for neutrino behavior in astrophysical rotating bodies are discussed.

Abstract

We study the evolution of the neutrinos system in rotating matter. Neutrinos are supposed to be mixed massive particles interacting with background fermions by means of the electroweak forces. First we find the solutions of wave equations for the neutrino mass eigenstates in matter. Then we study the behavior of neutrino flavor eigenstates in background matter. The problems of neutrino bound states and neutrino flavor oscillations are discussed. We also derive the analog of the quantum mechanical evolution equation for the system of two flavor neutrinos in rotating matter and analyze its solution for the particular initial condition for neutrino flavor eigenstates.