Three-Body Halos in Two Dimensions
Quantum Physics
2009-10-30 v1
Abstract
A method to study weakly bound three-body quantum systems in two dimensions is formulated in coordinate space for short-range potentials. Occurrences of spatially extended structures (halos) are investigated. Borromean systems are shown to exist in two dimensions for a certain class of potentials. An extensive numerical investigation shows that a weakly bound two-body state gives rise to two weakly bound three-body states, a reminiscence of the Efimov effect in three dimensions. The properties of these two states in the weak binding limit turn out to be universal. PACS number(s): 03.65.Ge, 21.45.+v, 31.15.Ja, 02.60Nm
Cite
@article{arxiv.quant-ph/9708025,
title = {Three-Body Halos in Two Dimensions},
author = {E. Nielsen and D. V. Fedorov and A. S. Jensen},
journal= {arXiv preprint arXiv:quant-ph/9708025},
year = {2009}
}
Comments
9 pages, 2 postscript figures, LaTeX, epsf.sty