Stationary solutions for fast flavor oscillations of a homogeneous dense neutrino gas

TL;DR

This paper introduces a method to find stationary solutions for fast flavor oscillations in a homogeneous dense neutrino gas, which can predict average survival probabilities and aid in understanding astrophysical phenomena.

Contribution

The paper presents a novel approach to identify stationary solutions for fast neutrino flavor oscillations, simplifying analysis and matching numerical results.

Findings

Stationary solutions correspond to collective rotation of neutrino polarization vectors.

These solutions can approximate average survival probabilities effectively.

The method aids in estimating effects of fast oscillations in astrophysical environments.

Abstract

We present a method to find the stationary solutions for fast flavor oscillations of a homogeneous dense neutrino gas. These solutions correspond to collective rotation of all neutrino polarization vectors around a fixed axis in the flavor space on average, and are conveniently studied in the co-rotating frame. We show that these solutions can account for the numerical results of explicit evolution calculations, and that even with the simplest assumption of adiabatic evolution, they can provide the average survival probabilities to good approximation. We also discuss improvement of these solutions and their use as estimates of the effects of fast oscillations in astrophysical environments.