Dynamical reconstruction of SPARC galactic halos within self-interacting fuzzy dark matter

Abstract

Fuzzy Dark Matter with non-zero quartic self-interaction (SFDM) is shown to be a viable model for simultaneously fitting 17 dark-matter-dominated galaxies from the SPARC database with a single $(m,g)$ point in the space of boson masses and self-coupling constants: ${\log }_{10}\left(m[\mathrm{eV}/c^2]\right)={\log }_{10}(1.98)-22_{-0.6}^{+0.8}$ and ${\log }_{10}\left(g[{\mathrm{eV}\mathrm{m}}^3/kg]\right)={\log }_{10}(9.08)-10_{-1.2}^{+0.4}$. 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. The explicit identification of a non-zero interaction strength may resolve issues of inconsistent constraints in non-interacting FDM. Our identification of these parameters enables the explicit {\em dynamical} reconstruction of potential host halos for such galaxies through numerical solution of the SFDM equations; we outline a {proof-of-principle procedure via merger simulations} for two galaxies (UGCA444, UGC07866), and show that this yields viable rotation curves over a dynamical period of $\mathcal{O}(1)Gyr$.

18 pages, 9 figures

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