Classification of three-body quantum halos
Abstract
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.
- Publication:
-
EPL (Europhysics Letters)
- Pub Date:
- February 2003
- DOI:
- 10.1209/epl/i2003-00172-5
- arXiv:
- arXiv:nucl-th/0212088
- Bibcode:
- 2003EL.....61..320J
- Keywords:
-
- 21.45.+v;
- 03.65.Ge;
- 21.80.+a;
- Few-body systems;
- Solutions of wave equations: bound states;
- Hypernuclei;
- Nuclear Theory
- E-Print:
- Europhys.Lett.61:320-326,2003