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

Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research,Dubna, Moscow Region 141980, Russian Federation,(Dated: February 13, 2012)We analyze d-wave resonances in atom-atom scattering in the presence of harmonic confinementby employing a higher partial wave pseudopotential. Analytical results for the scattering amplitudeand transmission are obtained and compared to corresponding numerical ones, which employ theLennard-Jones potential. Qualitative agreement is observed for weak confinement. For strongconfinement the pseudopotential does not capture the s- and d-wave interference phenomena yieldingan asymmetric Fano profile for the transmission resonance.