Pseudopotential method for higher partial wave scattering

Abstract

We present a zero-range pseudopotential applicable for all partial wave interactions between neutral atoms. For p- and d-waves we derive effective pseudopotentials, which are useful for problems involving anisotropic external potentials. Finally, we consider two nontrivial applications of the p-wave pseudopotential: we solve analytically the problem of two interacting spin-polarized fermions confined in a harmonic trap, and analyze the scattering of p-wave interacting particles in a quasi-two-dimensional system.

RevTeX, 4 pages, 2 figures; v2: references added

References in corpus (6)

• P-wave Feshbach resonances of ultra-cold ${}^6$Li
• Feshbach Resonances in Fermionic Lithium-6
• p-Wave Interactions in Low-Dimensional Fermionic gases
• Two atoms in an anisotropic harmonic trap
• Non-divergent pseudo-potential treatment of spin-polarized fermions under 1D and 3D harmonic confinement
• Revised Huang-Yang multipolar pseudopotential

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