Limits on the Domain of Coupling Constants for Binding N-Body Systems with No Bound Subsystems
Jean-Marc Richard, Sonia Fleck
Abstract
We study the domain of coupling constants for which a 3-body or 4-body system is bound while none of its subsystems is bound. Limits on the size of the domain are derived from a variant of the Hall--Post inequalities which relate N-body to (N-1)-body energies at given coupling. Possible applications to halo nuclei and hypernuclei are briefly outlined.
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