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

Details Limits on the Domain of Coupling Constants for Binding N-Body Systems with No Bound Subsystems Limits on the Domain of Coupling Constants for Binding N-Body Systems with No Bound Subsystems

1994-08-16

arxiv.org/abs/nucl-th/9408017v1

Phys.Rev.Lett.73:1464-1467,1994

Physics

Nuclear Physics

Nuclear Theory

RevTeX 3.0, 8 pages, to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.73.1464

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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