Geometric phase for neutrino propagation in magnetic field

Abstract

The geometric phase for neutrinos propagating in an adiabatically varying magnetic field in matter is calculated. It is shown that for neutrino propagation in sufficiently large magnetic field the neutrino eigenstates develop a significant geometric phase. The geometric phase varies from 2$\pi$ for magnetic fields $\sim$ fraction of a micro gauss to $\pi$ for fields $\sim 10^7$ gauss or more. The variation of geometric phase with magnetic field parameters is shown and its phenomenological implications are discussed.

References in corpus (4)

• Big-Bang Nucleosynthesis
• Model Independent Bounds on Magnetic Moments of Majorana Neutrinos
• How Magnetic is the Neutrino?
• A reduction in the UHE neutrino flux due to neutrino spin precession

Cited by in corpus (9)

• Quantum correlations in neutrino oscillations in curved spacetime
• Geometric phases in neutrino oscillations with nonlinear refraction
• Gravity-Induced Geometric Phases and Entanglement in Spinors and Neutrinos: Gravitational Zeeman Effect
• Geometric and Majorana phases in neutrino oscillations
• Noncyclic geometric phases and helicity transitions for neutrino oscillations in a magnetic field
• Mixed state geometric phase for neutrino oscillations
• Neutrino spin-flavor oscillations in solar environment
• Geometric phases in neutrino mixing
• Neutrino nature, total and geometric phase