Neutrino Oscillations in Electromagnetic Fields

TL;DR

This paper develops a Hamiltonian model for neutrino spin oscillations in electromagnetic fields, predicting new resonance phenomena and highlighting the effects of longitudinal magnetic fields on neutrino behavior.

Contribution

It introduces a comprehensive Hamiltonian for neutrino spin evolution considering both magnetic and electric dipole moments in arbitrary electromagnetic fields, revealing novel resonance effects.

Findings

Prediction of new resonance types in neutrino oscillations due to electromagnetic waves.

Identification of the influence of longitudinal magnetic fields on neutrino oscillations.

Framework for analyzing neutrino spin dynamics in complex electromagnetic environments.

Abstract

Oscillations of neutrinos $\nu_L \leftrightarrow \nu_R$ in presence of an arbitrary electromagnetic field are considered. We introduce the Hamiltonian for the neutrino spin evolution equation that accounts for possible effects of interaction of neutrino magnetic $\mu$ and electric $\epsilon$ dipole moments with the transversal (in respect to the neutrino momentum) and also the longitudinal components of electromagnetic field. Using this Hamiltonian we predict the new types of resonances in the neutrino oscillations $\nu_L \leftrightarrow \nu_R$ in the presence of the field of an electromagnetic wave and in combination of an electromagnetic wave and constant magnetic field. The possible influence of the longitudinal magnetic field on neutrino oscillations is emphasized.