%0 Journal Article
%T Weakly-Bound Three-Body Systems with No Bound Subsystems
%A J{иж}rome Goy
%A Jean-Marc Richard
%A Sonia Fleck
%J Physics
%D 1995
%I arXiv
%R 10.1103/PhysRevA.52.3511
%X 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.
%U http://arxiv.org/abs/nucl-th/9508024v1