Neutrino spin operator and dispersion in moving matter

TL;DR

This paper introduces a neutrino spin operator in moving, polarized matter, enabling consistent classification of neutrino states and deriving their dispersion relations for better understanding of their physical behavior.

Contribution

It presents a new spin integral of motion for neutrinos in moving, polarized matter, facilitating systematic analysis of neutrino states and their dispersion relations.

Findings

Derived a neutrino dispersion relation in moving matter.

Established a spin operator for classifying neutrino states.

Analyzed special cases of the dispersion relation.

Abstract

We found a spin integral of motion for neutrino, which propagates in moving and polarized matter. The operator obtained opens up the possibility of consistent classification of neutrino states in such a medium and, as a consequence, a systematic description of the related physical phenomena. Using the operator, we obtain a dispersion relation for neutrinos and consider its particular cases.