Dynamical Galactic Halo Reconstruction from Rotation Curves in Self-Interacting Fuzzy Dark Matter (2502.04838v1)

Abstract: Fuzzy Dark Matter with an explicitly non-zero quartic self-interaction (gFDM) is shown to be a viable model for simultaneously fitting 17 dark-matter-dominated galaxies from the SPARC database, constraining both the boson mass, $m$, and the self-coupling constant, $g$, to values within the range $\log_{10}\left(\frac{m}{\mathrm{eV}/c^2}\right) = \log_{10}(1.98)-22^{+0.8}_{-0.6}$ and $\log_{10}\left(\frac{g}{\mathrm{Jm}^3/kg}\right) = \log_{10}(1.45)-28^{+0.4}_{-1.2}$; this is based on the combination of an appropriately constructed static super-Gaussian profile for the inner galactic core (`soliton') region, and a Navarro-Frenk-White profile for the surrounding halo region. Identification of these parameters enables the explicit {\em dynamical} reconstruction of potential host halos for such galaxies, for which we outline a procedure with a proof-of-principle demonstration for two galaxies (UGCA444, UGC07866) shown to yield viable rotation curves over a dynamical period of $O(1) \, Gyr$.