Neutrino flavor oscillations in background matter

TL;DR

This paper investigates how two mixed Dirac neutrinos evolve in background matter, deriving exact solutions and transition probabilities within the standard model framework, enhancing understanding of neutrino oscillations in matter.

Contribution

The paper provides an exact solution to neutrino evolution equations in external axial-vector fields, specifically modeling standard model interactions with background matter.

Findings

Derived exact solutions for neutrino wave functions in external fields.

Obtained transition probabilities consistent with known results.

Enhanced theoretical understanding of neutrino oscillations in matter.

Abstract

We study the evolution of two mixed Dirac neutrinos in an external axial-vector field. The dynamics of this system is described in the framework of relativistic wave equations approach on the basis of the known solutions of the Dirac equation in an external field with a given initial condition. The general solution of the initial condition problem, exactly accounting for the external field, is obtained. Then we consider special form of the external field which corresponds to the standard model neutrino interactions with the background matter. In this limit we derive the transition probability and compare it with the previously known results.