Effective-Scattering-Length Model of Ultracold Atomic Collisions and Feshbach Resonances in Tight Harmonic Traps

Published

July 1, 2002

Author(s)

E L. Bolda, Eite Tiesinga, Paul S. Julienne

Abstract

We consider the problem of cold atomic collisions in tight traps, where the absolute scattering length may be larger than the trap size. As long as the size of the trap ground state is larger than a characteristic length of the van der Waals potential, the energy eigenvalues can be computed self-consistently from the scattering amplitude for untrapped atoms. By comparing with the exact numerical eigenvalues of the trapping plus interatomic potentials, we verify that our model gives accurate eigenvalues up to mK energies for single channel s-wave scattering of Na atoms in an isotropic harmonic trap, even when outside the Wigner threshold regime. Our model works also for multi-channel scattering, where the scattering length can be made large due to a magnetically tunable Feshbach resonance.

Citation

Physical Review A (Atomic, Molecular and Optical Physics)

Volume

66

Issue

No. 1

Pub Type

Journals

Keywords

cold atomic collisions, eigenvalues, Feshbach resonance, harmonic atom trap, pseudopotential approximation, scattering length

Citation

Bolda, E. , Tiesinga, E. and Julienne, P. (2002), Effective-Scattering-Length Model of Ultracold Atomic Collisions and Feshbach Resonances in Tight Harmonic Traps, Physical Review A (Atomic, Molecular and Optical Physics) (Accessed January 13, 2025)