A two-parameter model including soliton self-gravity shows that simulated fuzzy dark matter cores sit between the self-gravity and host-halo regimes, and that core-halo scatter depends on both halo concentration and core-intrinsic features.
Axion core - halo mass and the black hole - halo mass relation: constraints on a few parsec scales
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abstract
If the dark matter is made of ultra-light axions, stable solitonic cores form at the centers of virialized halos. In some range for the mass $m$ of the axion particle, these cores are sufficiently compact and can mimic supermassive black holes (SMBH) residing at galactic nuclei. We use the solitonic core--halo mass relation, validated in numerical simulations, to constrain a new range of allowed axion mass from measurements of the SMBH mass in (pseudo)bulge and bulgeless galaxies. These limits are based on observations of galactic nuclei on scales smaller than 10 pc. Our analysis suggests that $m < 10^{-18}$ eV is ruled out by the data. We briefly discuss whether an attractive self-interaction among axions could alleviate this constraint.
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Soliton self-gravity and core-halo relation in fuzzy dark matter halos
A two-parameter model including soliton self-gravity shows that simulated fuzzy dark matter cores sit between the self-gravity and host-halo regimes, and that core-halo scatter depends on both halo concentration and core-intrinsic features.