Issue |
Europhys. Lett.
Volume 61, Number 3, February 2003
|
|
---|---|---|
Page(s) | 320 - 326 | |
Section | Nuclear physics | |
DOI | https://doi.org/10.1209/epl/i2003-00172-5 | |
Published online | 01 January 2003 |
Classification of three-body quantum halos
1
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
Received:
5
July
2002
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
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