Weakly-Bound Three-Body Systems with No Bound Subsystems
Nuclear Theory
2016-08-15 v1
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.
Cite
@article{arxiv.nucl-th/9508024,
title = {Weakly-Bound Three-Body Systems with No Bound Subsystems},
author = {Jérome Goy and Jean-Marc Richard and Sonia Fleck},
journal= {arXiv preprint arXiv:nucl-th/9508024},
year = {2016}
}
Comments
gzipped ps with 11 figures included. To appear in Phys. Rev. A