A. Wynveen et al., Identical particle scattering from a weakly coupled Bose-Einstein condensed gas - art. no. 023602, PHYS REV A, 6202(2), 2000, pp. 3602
We calculate the scattering states and cross sections for a Bose-Einstein c
ondensed dilute gas trapped in a spherical square well of finite depth. The
interactions are treated in the scattering length approximation. We solve
the Gross-Pitaevskii equation and the Bogoliubov equations for bound and sc
attering states. The results show that there are transparency effects remin
iscent of those conjectured to occur for strongly coupled systems. When inc
ident particle wavelengths lambda are comparable to the well size a, exchan
ge induced transparency enhancement is dramatic only for particular combina
tions of well depth, interaction strength, and particle number. For particl
es with large momenta (a/lambda>>1), however, exchange with the condensate
results in enhanced transmission for all coupling strengths. We calculated
the rate of decay of the scattering states to leading order in anharmonic c
orrections to the Bogoliubov approximation and found the corresponding inel
astic cross sections to be extremely small.