  In a medium composed of scalar particles with non-zero mass, the range of
Van-der-Waals-type scalar mediated interactions among nucleons becomes infinite
when the medium makes a transition to a Bose-Einstein condensed phase. We
explore this phenomenon in an astrophysical context. Namely, we study the
effect of a scalar dark matter background on the equilibrium of degenerate
stars.In particular we focus on white dwarfs and the changes induced in their
masses and in their radii.
