Scattering of electrons by a Bose-Einstein condensate of alkali-metal atoms

The scattering of an incident electron by a pure Bose-Einstein condensate of alkali-metal atoms confined to a three-dimensional harmonic-oscillator potential is investigated to give the corresponding differential cross section. It is shown that for the elastic scattering process the differential cross section is proportional to the square of the number of condensed atoms. and hence can be called the "coherent scattering." For the inelastic scattering process. the stopping power is obtained by considering the state of the center of mass and the internal electronic state of the condensed atom being excited separately and simultaneously, which is found to be proportional to the 7/5, power of the number of condensed atoms when the binary collision interaction between atoms is taken into account.