arXiv:cond-mat/0405660·v2·cond-mat.other
Universal Properties of the Four-Boson System in Two Dimensions
L. Platter🇺🇸 · H.-W. Hammer🇺🇸 · U.-G. Meißner🇩🇪
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.
Comments: 7 pages, 1 ps figure, references and discussion added, final version