Particle scattering by harmonically trapped Bose and Fermi gases
arXiv:1606.02804 · doi:10.1088/1361-6455/aaafb4
Abstract
We have analytically explored the quantum phenomenon of particle scattering by harmonically trapped Bose and Fermi gases with the short ranged (Fermi-Huang [1]) interactions among the incident particle and the scatterers. We have predicted differential scattering cross-sections and their temperature dependence in this regard. Coherent scattering even by a single boson or fermion in the finite geometry gives rise to new tool of determining energy eigenstate of the scatterer. Our predictions on the differential scattering cross-sections, can be tested within the present day experimental setups, specially, for (i) 3-D harmonically trapped interacting Bose-Einstein condensate (BEC), (ii) BECs in a double well, and (iii) BECs in an optical lattice.
8 pages, 4 figures; Accepted in Journal of Physics B: Atomic, Molecular and Optical Physics (2018)
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