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Binding three or four bosons without bound subsystems

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 $R\simeq 0.8$. 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.
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Submitted on : Thursday, October 26, 2000 - 3:34:23 PM
Last modification on : Monday, January 24, 2022 - 3:20:02 PM

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S. Moszkowski, S. Fleck, A. Krikeb, L. Theussl, J.-M. Richard, et al.. Binding three or four bosons without bound subsystems. Physical Review A, American Physical Society, 2000, 62, pp.032504. ⟨10.1103/PhysRevA.62.032504⟩. ⟨in2p3-00005328⟩

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