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We study the domain of coupling constants for which a 3-body or 4-body systemis bound while none of its subsystems is bound. Limits on the size of thedomain are derived from a variant of the Hall--Post inequalities which relate$N$-body to $(N-1)$-body energies at given coupling. Possible applications tohalo nuclei and hypernuclei are briefly outlined.Comment: RevTeX 3.0, 8 pages, to appear in Phys. Rev. Let

physical review letters

Limits on the Domain of Coupling Constants for Binding<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>N</mml:mi></mml:math>-Body Systems with No Bound Subsystems

Limits on the Domain of Coupling Constants for BindingN-Body Systems with No Bound Subsystems