A pseudo-potential analog for zero-range photoassociation and Feshbach resonance
Other Condensed Matter
2009-11-11 v1
Abstract
A zero-range approach to atom-molecule coupling is developed in analogy to the Fermi-Huang pseudo-potential treatment of atom-atom interactions. It is shown by explicit comparison to an exactly-solvable finite-range model that replacing the molecular bound-state wavefunction with a regularized delta-function can reproduce the exact scattering amplitude in the long-wavelength limit. Using this approach we find an analytical solution to the two-channel Feshbach resonance problem for two atoms in a spherical harmonic trap.
Cite
@article{arxiv.cond-mat/0506383,
title = {A pseudo-potential analog for zero-range photoassociation and Feshbach resonance},
author = {M. G. Moore},
journal= {arXiv preprint arXiv:cond-mat/0506383},
year = {2009}
}