  We consider the problem of two heavy impurity particles embedded in a gas of
weakly-interacting light mass bosonic particles in the condensed state. Using
the Bogoliubov approach to describe the bosonic gas and the Born-Oppenheimer
approximation for the three-body dynamics, we calculate the modification to the
heavy-heavy two-body potential due to the presence of the condensate. For the
case of resonant interaction between the light bosons and the impurities, we
present (semi)-analytical results for the potential in the limit of a large
condensate coherence length. In particular, we find a formula for the
modification of the Efimov scaling factor due to the presence of a degenerate
bosonic gas background.

Quantum Gases;Nuclear Theory;Quantum Physics