  In the present work we model dark matter as a Bose-Einstein condensate and
the main goal is the deduction of the microscopic properties, namely, mass,
number of particles, and scattering length, related to the particles comprised
in the corresponding condensate. This task is done introducing in the
corresponding model the effects of the thermal cloud of the system. Three
physical conditions are imposed, i.e., mechanical equilibrium of the
condensate, explanation of the rotation curves of stars belonging to dwarf
galaxies, and, finally, the deflection of light due to the presence of dark
matter. These three aforementioned expressions allow us to cast the features of
the particles in terms of detectable astrophysical variables. Finally, the
model is contrasted against observational data and in this manner we obtain
values for the involved microscopic parameters of the condensate. The
statistical errors are seven and eighteen percent for the scattering length and
mass of the dark matter particle, respectively.
