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Three-Body Halos in Two Dimensions

E. Nielsen·D. V. Fedorov·A. S. Jensen
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Abstract

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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E. Nielsen, D. V. Fedorov, A. S. Jensen. 1997-08-13. Three-Body Halos in Two Dimensions. https://doi.org/10.1103/physreva.56.3287

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