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Weakly-Bound Three-Body Systems with No Bound Subsystems

Jérome Goy·Jean-Marc Richard·Sonia Fleck
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Abstract

We investigate the domain of coupling constants which achieve binding for a 3-body system, while none of the 2-body subsystems is bound. We derive some general properties of the shape of the domain, and rigorous upper bounds on its size, using a Hall--Post decomposition of the Hamiltonian. Numerical illustrations are provided in the case of a Yukawa potential, using a simple variational method.

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Jérome Goy, Jean-Marc Richard, Sonia Fleck. 1995-08-15. Weakly-Bound Three-Body Systems with No Bound Subsystems. https://doi.org/10.1103/physreva.52.3511

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