In the present work we model dark matter as a
Bose–Einstein condensate and the main goal is the deduc-
tion of the microscopic properties, namely, mass, number of
particles, and scattering length, related to the particles com-
prised 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, ex-
planation of the rotation curves of stars belonging to some
galaxies, and, finally, the deflection of light due to the pres-
ence of dark matter. These three aforementioned expressions
allow us to cast the features of the particles in terms of de-
tectable astrophysical variables. Finally, the model is con-
trasted against the observational data of nine galaxies and in
this manner we obtain values for the involved microscopic
parameters of the condensate. The statistical errors are 7 and
18 percent for the scattering length and mass of the dark
matter particle, respectively.

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• Dark matter as a condensate: deduction of microscopic properties