  We consider a two-component dark matter halo (DMH) of a galaxy containing
ultra-light axions (ULA) of different mass. The DMH is described as a
Bose-Einstein condensate (BEC) in its ground state. In the mean-field (MF)
limit we have derived the integro-differential equations for the spherically
symmetrical wave functions of the two DMH components. We studied numerically
the radial distribution of the mass density of ULA and constructed the
parameters which could be used to distinguish between the two- and
one-component DMH. We also discuss an interesting connection between the BEC MF
ground state of a one-component DMH and Hawking temperature and entropy of a
corresponding Black Hole, and Unruh temperature.
