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Borromean Binding of Three or Four Bosons | | Steven Moszkowski
; Sonia Fleck
; Ali Krikeb
; Lukas Theu{ss}l
; Jean-Marc Richard
; K{álm{án Varga
; | | Date: |
12 Mar 2000 | | Journal: | Phys.Rev. A62 (2000) 032504 | | Subject: | nucl-th quant-ph | | Abstract: | We estimate the ratio $R=g_{3}/g_{2}$ of the critical coupling constants $g_{2}$ and $g_{3}$ which are required to achieve binding of 2 or 3 bosons, respectively, with a short-range interaction, and examine how this ratio depends on the shape of the potential. Simple monotonous potentials give $Rsimeq 0.8$. A wide repulsive core pushes this ratio close to R=1. On the other hand, for an attractive well protected by an external repulsive barrier, the ratio approaches the rigorous lower bound $R=2/3$. We also present results for N=4 bosons, sketch the extension to $N>4$, and discuss various consequences. | | Source: | arXiv, nucl-th/0003026 | | Services: | Forum | Review | PDF | Favorites | |
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