Feshbach resonance scattering under cylindrical harmonic confinement
Statistical Mechanics
2007-05-23 v2 Soft Condensed Matter
Abstract
A problem of collisions of atoms with two-channel zero-range interaction in an atomic waveguide is solved by using of a renormalization procedure. A matching of the solution to a solution of the related one-dimensional problem leads to relation between the one-dimensional and three-dimensional scattering parameters. The scattering amplitude and bound states for the confined system demonstrate differences from the related free and one-dimensional systems.
Cite
@article{arxiv.cond-mat/0308465,
title = {Feshbach resonance scattering under cylindrical harmonic confinement},
author = {V. A. Yurovsky},
journal= {arXiv preprint arXiv:cond-mat/0308465},
year = {2007}
}
Comments
Completely rewritten version,8 pages with 5 figures, uses REVTeX