Multi-angle calculation of the matter-neutrino resonance near an accretion disk

TL;DR

This study investigates the matter-neutrino resonance near accretion disks using multi-angle calculations, revealing that the resonance is less robust than single-angle models suggest, with implications for astrophysical neutrino physics.

Contribution

It provides a detailed multi-angle numerical analysis of matter-neutrino resonance near accretion disks, challenging previous single-angle assumptions.

Findings

Multi-angle results do not support a robust resonance.

Resonance sensitivity to angular effects is significant.

Single-angle approximation may overestimate resonance stability.

Abstract

We perform a numerical study of the matter-neutrino resonance in a multi-angle calculation in the vicinity of an accretion disk. We assume thermally distributed neutrino and anti-neutrino fields emitted by two-dimensional disk that is homogeneous and isotropic; the electrons are assumed to be at constant density. We compare the the result of this computation to that obtained using single-angle approximation. We investigate the robustness of matter-neutrino resonance in environment surrounding accretion disks by progressively relaxing the single angle approximation. We find that the multi-angle results in the present simplified model do not support a robust resonance mechanism as suggested by the single angle treatment. We also discuss the context under which matter-neutrino resonance may be important in future studies.