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arXiv · 1202.2298

Analytical treatment of bosonic d-wave scattering in isotropic harmonic waveguides

P. Giannakeas·V. S. Melezhik·P. Schmelcher
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Abstract

We analyze d-wave resonances in atom-atom scattering in the presence of harmonic confinement by employing a higher partial wave pseudopotential. Analytical results for the scattering amplitude and transmission are obtained and compared to corresponding numerical ones, which employ the Lennard-Jones potential. Qualitative agreement is observed for weak confinement. For strong confinement the pseudopotential does not capture the s- and d-wave interference phenomena yielding an asymmetric Fano profile for the transmission resonance.

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P. Giannakeas, V. S. Melezhik, P. Schmelcher. 2012-03-19. Analytical treatment of bosonic d-wave scattering in isotropic harmonic waveguides. https://doi.org/10.1103/physreva.85.042703

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