Multipole expansion method for supernova neutrino oscillations

TL;DR

This paper introduces a multipole expansion method to efficiently compute collective neutrino oscillations in supernovae, offering both computational advantages and new insights into multi-angle effects.

Contribution

The paper presents a novel multipole expansion approach that improves efficiency and understanding of supernova neutrino oscillations compared to traditional angle basis methods.

Findings

Multipole expansion significantly reduces computational complexity.

The method offers new insights into multi-angle neutrino oscillation phenomena.

It outperforms angle basis calculations in efficiency.

Abstract

We demonstrate a multipole expansion method to calculate collective neutrino oscillations in supernovae using the neutrino bulb model. We show that it is much more efficient to solve multi-angle neutrino oscillations in multipole basis than in angle basis. The multipole expansion method also provides interesting insights into multi-angle calculations that were accomplished previously in angle basis.