Dynamical Reconstruction of SPARC galactic halos within Self-interacting Fuzzy Dark Matter

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: log10 m [eV/c2] = log10(1.98)−22+0.8 −0.6 and log10 g [eV m3/kg] = log10(9.08)−10+0.4 −1.2. This is based on the combination of an appropriately constructed static super-Gaussian profile for the inner galactic core (‘soliton’) re- gion, 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 dynamical reconstruction of po- tential 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 O(1) Gyr.