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Scattering of atoms on the Bose-Einstein condensate

We investigate the scattering of slowly moving atoms on the Bose-Einstein condensate. The condensate excitations are described by Bogolyubov-de Gennes equations. We derive the analytic expressions for the differential cross section 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 numerical results for the total cross section.