The two-atom energy spectrum in a harmonic trap near a Feshbach resonance at higher partial waves

Details The two-atom energy spectrum in a harmonic trap near a Feshbach resonance at higher partial waves The two-atom energy spectrum in a harmonic trap near a Feshbach resonance at higher partial waves

2009-08-15

arxiv.org/abs/0908.2204v1

Physics

Condensed Matter

Quantum Gases

To be published in Physical Review A

Scientific paper

Two atoms in an optical lattice may be made to interact strongly at higher partial waves near a Feshbach resonance. These atoms, under appropriate constraints, could be bosonic or fermionic. The universal $l=2$ energy spectrum for such a system, with a caveat, is presented in this paper, and checked with the spectrum obtained by direct numerical integration of the Schr\"odinger equation. The results reported here extend those of Yip for p-wave resonance (Phys. Rev. A {\bf 78}, 013612 (2008)), while exploring the limitations of a universal expression for the spectrum for the higher partial waves.

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