Universal Properties of Two-Dimensional Boson Droplets
Other Condensed Matter
2007-05-23 v2 High Energy Physics - Phenomenology
Nuclear Theory
Abstract
We consider a system of N nonrelativistic bosons in two dimensions, interacting weakly via a short-range attractive potential. We show that for N large, but below some critical value, the properties of the N-boson bound state are universal. In particular, the ratio of the binding energies of (N+1)- and N-boson systems, B_{N+1}/B_N, approaches a finite limit, approximately 8.567, at large N. We also confirm previous results that the three-body system has exactly two bound states. We find for the ground state B_3^(0) = 16.522688(1) B_2 and for the excited state B_3^(1) = 1.2704091(1) B_2.
Keywords
Cite
@article{arxiv.cond-mat/0405206,
title = {Universal Properties of Two-Dimensional Boson Droplets},
author = {H. -W. Hammer and D. T. Son},
journal= {arXiv preprint arXiv:cond-mat/0405206},
year = {2007}
}
Comments
4 pages, 2 figures, final version