We investigate the scattering of slowly moving atoms on the Bose-Einstein c
ondensate. The condensate excitations are described by Bogolyubov-de Gennes
equations. We derive the analytic expressions for the differential cross s
ection for both elastic and inelastic channels. For the elastic channel we
obtain analytic results for total cross sections, and discuss their scaling
with the number of condensed atoms. For inelastic channels we present nume
rical results for the total cross section.