Neutrino spin oscillations in matter under the influence of gravitational and electromagnetic fields

TL;DR

This paper derives a new quasi-classical equation for neutrino spin evolution in curved spacetime with matter and electromagnetic interactions, analyzing oscillations near black holes and in astrophysical media.

Contribution

It introduces a novel equation for neutrino spin dynamics in complex backgrounds and explores resonance phenomena in astrophysical environments.

Findings

Identified new resonances in neutrino spin oscillations near black holes.

Derived effective Hamiltonian and transition probabilities for neutrino spin states.

Developed an approximate model for ultra high energy neutrino oscillations.

Abstract

We derive the new quasi-classical equation for the description of the spin evolution of a neutrino propagating in a curved space-time and interacting with a background matter and an external electromagnetic field. This equation is used to analyze neutrino spin oscillations in these external backgrounds. We obtain the effective Hamiltonian and the transition probability for oscillations of neutrinos when they move in the vicinity of a rotating black hole, surrounded by an accretion disk, and interact with an external magnetic field. The appearance of new resonances in neutrino spin oscillations in this system is considered. The approximate treatment of spin oscillations of radially propagating ultra high energy neutrinos is developed. We also discuss the applications of our results to the description of neutrino spin oscillations in realistic astrophysical media.