Three-Body Halos in Two Dimensions

Details Three-Body Halos in Two Dimensions Three-Body Halos in Two Dimensions

1997-08-13

arxiv.org/abs/quant-ph/9708025v1

Phys.Rev. A56 (1997) 3287

Physics

Quantum Physics

9 pages, 2 postscript figures, LaTeX, epsf.sty

Scientific paper

10.1103/PhysRevA.56.3287

A method to study weakly bound three-body quantum systems in two dimensions is formulated in coordinate space for short-range potentials. Occurrences of spatially extended structures (halos) are investigated. Borromean systems are shown to exist in two dimensions for a certain class of potentials. An extensive numerical investigation shows that a weakly bound two-body state gives rise to two weakly bound three-body states, a reminiscence of the Efimov effect in three dimensions. The properties of these two states in the weak binding limit turn out to be universal. PACS number(s): 03.65.Ge, 21.45.+v, 31.15.Ja, 02.60Nm

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