Weakly-Bound Three-Body Systems with No Bound Subsystems

Preprint

15 August 1995

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.nucl-th/9508024

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.

Keywords

VARIATIONAL METHOD
YUKAWA POTENTIAL
BOUND SUBSYSTEMS
SYSTEMS WITH NO
WEAKLY BOUND
BODY SYSTEM
SUBSYSTEMS
PROPERTIES
NO BOUND
DOMAIN

All Related Versions

Version 1, 1995-08-15, ArXiv
Published version: Physical Review A, 52 (5), 3511.

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