  We investigate the processes of electron capture by a Coulomb impurity center
residing in a hybrid system consisting of spatially separated two-dimensional
layers of electron and Bose-condensed dipolar exciton gases coupled via the
Coulomb forces. We calculate the probability of the electron capture
accompanied by the emission of a single Bogoliubov excitation (bogolon),
similar to regular phonon-mediated scattering in solids. Further, we study the
electron capture mediated by the emission of a pair of bogolons in a single
capture event and show that these processes not only should be treated in the
same order of the perturbation theory, but also they give more important
contribution than single bogolon-mediated capture, in contrast with regular
phonon scattering.
