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Universal Properties of Two-Dimensional Boson Droplets

H. -W. Hammer·D. T. Son
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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.

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H. -W. Hammer, D. T. Son. 2004-11-25. Universal Properties of Two-Dimensional Boson Droplets. https://doi.org/10.1103/physrevlett.93.250408

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