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Cold dark matter (CDM) has shown to be an excellent candidate for the darkmatter (DM) of the Universe at large scales, however it presents somechallenges at the galactic level. The scalar field dark matter (SFDM), alsocalled fuzzy, wave, Bose-Einstein condensate or ultra-light axion DM, isidentical to CDM at cosmological scales but different at the galactic ones.SFDM forms core halos, it has a natural cut-off in its matter power spectrumand it predicts well-formed galaxies at high redshifts. In this work wereproduce the rotation curves of high-resolution low surface brightness (LSB)and SPARC galaxies with two SFDM profiles: (1)~The soliton+NFW profile in thefuzzy DM (FDM) model, arising empirically from cosmological simulations ofreal, non-interacting scalar field (SF) at zero temperature, and (2)~themultistate SFDM (mSFDM) profile, an exact solution to the Einstein-Klein-Gordonequations for a real, self-interacting SF, with finite temperature into the SFpotential, introducing several quantum states as a realistic model for a SFDMhalo. From the fits with the soliton+NFW profile, we obtained for the bosonmass $0.212< m_\psi/(10^{-23} \mathrm{eV}/c^2)<27.0$ and for the core radius$0.326< r_c/\mathrm{kpc}<8.96$. From the combined analysis with the LSBgalaxies, we obtained $m_\psi = 0.554 \times10^{-23}\mathrm{eV}$, a result intension with the severe cosmological constraints. Also, we show the analyticalmSFDM model fits the observations as well as or better than the empiricalsoliton+NFW profile, and it reproduces naturally the wiggles present in somegalaxies, being a theoretically motivated framework additional or alternativeto the FDM profile.

Rotation curves of high-resolution LSB and SPARC galaxies with fuzzy and multistate (ultra-light boson) scalar field dark matter