Astronomical constraints on quantum theories of cold dark matter - II. Supermassive black holes and luminous matter

Our previous model of quantum cold dark matter (QCDM) is expanded to include the influence of supermassive black holes located at centres of different galaxies and galactic luminous (baryonic) matter distributions. The inclusion of a black hole to the galactic potential is shown to produce a more concentrated halo with a cuspier core. The addition of a small-scale galactic luminous matter distribution also concentrates the halo, while a large-scale distribution diffuses it; nevertheless, in either case the smooth core of the halo is preserved. Effects caused by including a non-linear scattering term are investigated by solving the Gross-Pitaevskii equation. The obtained results demonstrate that the scattering term produces a rounder and more diffuse density profile. Moreover, adding a sufficiently large black hole in combination with this term results in an even cuspier profile than the black hole alone. As a result of all these additions, our extended QCDM model can be applied to a much larger range of dark matter halo shapes and sizes.