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arXiv · 1606.02804

Particle scattering by harmonically trapped Bose and Fermi gases

Ankita Bhattacharya·Samir Das·Shyamal Biswas
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Abstract

We have analytically explored the quantum phenomenon of particle scattering by harmonically trapped Bose and Fermi gases with the short ranged (Fermi-Huang $\delta^3_p$ [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.

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Ankita Bhattacharya, Samir Das, Shyamal Biswas. 2016-06-09. Particle scattering by harmonically trapped Bose and Fermi gases. https://doi.org/10.1088/1361-6455/aaafb4

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