Phys. Rev. Lett. 93, 250408 (2004) [4 pages]Universal Properties of Two-Dimensional Boson DropletsReceived 12 May 2004; published 16 December 2004 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, BN+1/BN, 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 B3(0)=16.522 688(1)B2 and for the excited state B3(1)=1.270 409 1(1)B2. © 2004 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.93.250408
DOI:
10.1103/PhysRevLett.93.250408
PACS:
03.75.Nt, 05.10.Cc, 36.40.–c
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