Bose-Einstein Condensate dark matter models in the presence of baryonic
  matter and random confining potentials
  We consider the effects of an uncorrelated random potential on the properties
of Bose-Einstein Condensate (BEC) dark matter halos, which acts as a source of
disorder, and which is added as a new term in the Gross-Pitaevskii equation,
describing the properties of the halo. By using the hydrodynamic representation
we derive the basic equation describing the density distribution of the
galactic dark matter halo, by also taking into account the effects of the
baryonic matter, and of the rotation. The density, mass and tangential velocity
profiles are obtained exactly in spherical symmetry by considering a simple
exponential density profile for the baryonic matter, and a Gaussian type
disorder potential. To test the theoretical model we compare its predictions
with a set of 39 galaxies from the Spitzer Photometry \& Accurate Rotation
Curves (SPARC) database. We obtain estimates of the relevant astrophysical
parameters of the dark matter dominated galaxies, including the baryonic matter
properties, and the parameters of the random potential. The BEC model in the
presence of baryonic matter and a random confining potential gives a good
statistical description of the SPARC data. The presence of the condensate dark
matter could also provide a solution for the core/cusp problem.
