Stability of multi-state configurations of fuzzy dark matter

TL;DR

This paper demonstrates through numerical simulations that multi-state configurations of fuzzy dark matter, involving monopolar and dipolar components, are stable across a range of mass ratios, supporting their physical plausibility.

Contribution

It provides the first comprehensive stability analysis of multi-state fuzzy dark matter configurations with monopolar and dipolar components using numerical methods.

Findings

Configurations are stable under various criteria.

Stability holds across a wide mass ratio range.

Supports physical viability of multi-state dark matter models.

Abstract

We study the stability properties of multi-state configurations of the Schr\"odinger-Poisson system without self-interaction, with monopolar and first dipolar components $(1,0,0)$+$(2,1,0)$. We show these configurations studied are stable using numerical simulations, and using criteria of stationarity, unitarity and time dependence consistency. The study covers a range of states with monopolar to dipolar mass ratio between 47 and 0.17. The astrophysical implication of this result is that this type of configurations is at least stable and can be considered physically sound in multi-state ultralight bosonic dark matter.