Inertial Effects on Berry's Phase of Neutrino Oscillations

TL;DR

This paper investigates how inertial effects like acceleration and rotation influence the Berry phase in neutrino oscillations, revealing dependencies on mixing parameters and geometric factors.

Contribution

It introduces a calculation of Berry's phase for neutrinos in non-inertial frames, highlighting new dependencies on inertial and geometric parameters.

Findings

Berry phase depends on vacuum mixing angle and mass-squared difference

Inertial effects modify the geometric phase of neutrinos

Discussion of Berry phase in solar neutrinos and geometrical aspects

Abstract

The Berry phase of mixed states, as neutrino oscillations, is calculated in a accelerating and rotating reference frame. It turns out to be depending on the vacuum mixing angle, the mass--squared difference and on the coupling between the momentum of the neutrino and the spinorial connection. Berry's phase for solar neutrinos and its geometrical aspects are also discussed.