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

Fuzzy dark matter with nonzero 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 ( m [ eV / c 2 ] ) = log 10 ( 1.98 ) − 2 2 − 0.6 + 0.8 and log 10 ( g [ eV m 3 / kg ] ) = log 10 ( 9.08 ) − 1 0 − 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 nonzero interaction strength may resolve issues of inconsistent constraints in noninteracting FDM. Our identification of these parameters enables the explicit 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 O ( 1 ) Gyr .