Exact solution to neutrino-plasma two-flavor dynamics

TL;DR

This paper derives an exact analytic solution for two-flavor neutrino oscillations in plasma, showing how to adjust plasma density for arbitrary electron neutrino populations, with applications to decaying or oscillating populations.

Contribution

It provides the first exact solution to neutrino-plasma two-flavor dynamics with arbitrary initial conditions by determining the necessary plasma density profile.

Findings

Exact analytic solution for neutrino oscillations in plasma

Formula for plasma density applicable to decaying or oscillating neutrino populations

Demonstrates control of neutrino dynamics via plasma density adjustment

Abstract

It is shown that the two-flavor neutrino oscillation equations admit an exact analytic solution for arbitrarily chosen normalized electron neutrino population, provided the electron plasma density is adjusted in a certain way. The associated formula for the electron plasma density is applied to the cases of exponentially decaying or oscillating electron neutrino populations.