Universal Properties of the Four-Boson System in Two Dimensions
Other Condensed Matter
2015-06-24 v2 Nuclear Theory
Abstract
We consider the nonrelativistic four-boson system in two dimensions interacting via a short-range attractive potential. For a weakly attractive potential with one shallow two-body bound state with binding energy B_2, the binding energies B_N of shallow N-body bound states are universal and thus do not depend on the details of the interaction potential. We compute the four-body binding energies in an effective quantum mechanics approach. There are exactly two bound states: the ground state with B_4^(0)=197.3(1)B_2 and one excited state with B_4^(1)=25.5(1)B_2. We compare our results to recent predictions for N-body bound states with large N>>1.
Keywords
Cite
@article{arxiv.cond-mat/0405660,
title = {Universal Properties of the Four-Boson System in Two Dimensions},
author = {L. Platter and H. -W. Hammer and U. -G. Meißner},
journal= {arXiv preprint arXiv:cond-mat/0405660},
year = {2015}
}
Comments
7 pages, 1 ps figure, references and discussion added, final version