Classification of three-body quantum halos
Institute of Physics and Astronomy,
Aarhus University DK-8000 Aarhus C, Denmark
2 Instituto de Estructura de la Materia, CSIC - Serrano 123, E-28006 Madrid, Spain
Accepted: 12 November 2002
The different kinds of behaviour of three-body systems in the weak-binding limit are classified with specific attention to the transition from a true three-body system to an effective two-body system. For weakly bound Borromean systems approaching the limit of binding we show that the size-binding energy relation is an almost universal function of the three s-wave scattering lengths measured in units of a hyperradial scaling parameter defined as a mass weighted average of two-body equivalent square well radii. We explain why three-body halos follow this curve and why systems appearing above reveal two-body substructures. Three-body quantum halos 2-3 times larger than the limit set by zero hypermoment are possible.
PACS: 21.45.+v – Few-body systems / 03.65.Ge – Solutions of wave equations: bound states / 21.80.+a – Hypernuclei
© EDP Sciences, 2003