# Coupling between Ion-Acoustic Waves and Neutrino Oscillations

## TL;DR

This paper explores how ion-acoustic waves in plasmas interact with neutrino flavor oscillations, revealing potential energy transfer mechanisms and instabilities relevant to astrophysical phenomena like supernovae.

## Contribution

It develops a linear dispersion relation showing the coupling between ion-acoustic waves and neutrino oscillations in a plasma, highlighting conditions for instability and energy transfer.

## Key findings

- Neutrino oscillations can excite unstable plasma modes at resonance.
- The growth rate of instabilities is calculated for supernova conditions.
- Neutrino-plasma coupling could serve as an indirect probe of neutrino properties.

## Abstract

The work investigates the coupling between ion-acoustic waves and neutrino flavor oscillations in a non-relativistic electron-ion plasma under the influence of a mixed neutrino beam. Neutrino oscillations are mediated by the flavor polarization vector dynamics in a material medium. The linear dispersion relation around homogeneous static equilibria is developed. When resonant with the ion-acoustic mode, the neutrino flavor oscillations can transfer energy to the plasma exciting a new fast unstable mode in extreme astrophysical scenarios. The growth rate and the unstable wavelengths are determined in typical type II supernovae parameters. The predictions can be useful for a new indirect probe on neutrino oscillations in nature.