Universal Properties of the Four-Boson System in Two Dimensions

Details Universal Properties of the Four-Boson System in Two Dimensions Universal Properties of the Four-Boson System in Two Dimensions

2004-05-28

arxiv.org/abs/cond-mat/0405660v2

Few Body Syst. 35 (2004) 169-174

Physics

Condensed Matter

Other Condensed Matter

7 pages, 1 ps figure, references and discussion added, final version

Scientific paper

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.

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