Universal Properties of Two-Dimensional Boson Droplets

dc.creatorHammer, H. -W.
dc.creatorSon, D. T.
dc.date2004-05-11
dc.date2004-11-25
dc.date.accessioned2026-07-07T02:58:05Z
dc.date.available2026-07-07T02:58:05Z
dc.descriptionWe 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.
dc.description4 pages, 2 figures, final version
dc.identifierhttps://arxiv.org/abs/cond-mat/0405206
dc.identifierhttp://arxiv.org/abs/cond-mat/0405206
dc.identifierPhys.Rev.Lett. 93 (2004) 250408
dc.identifierdoi:10.1103/PhysRevLett.93.250408
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/23934
dc.subjectOther Condensed Matter
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectNuclear Theory
dc.titleUniversal Properties of Two-Dimensional Boson Droplets
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