Analytical treatment of bosonic d-wave scattering in isotropic harmonic waveguides
Atomic Physics
2015-06-04 v2 Quantum Gases
Quantum Physics
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.
Keywords
Cite
@article{arxiv.1202.2298,
title = {Analytical treatment of bosonic d-wave scattering in isotropic harmonic waveguides},
author = {P. Giannakeas and V. S. Melezhik and P. Schmelcher},
journal= {arXiv preprint arXiv:1202.2298},
year = {2015}
}
Comments
7 pages, 2 figures