Classification of three-body quantum halos
Nuclear Theory
2010-12-17 v1
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.
Cite
@article{arxiv.nucl-th/0212088,
title = {Classification of three-body quantum halos},
author = {A. S. Jensen and K. Riisager and D. V. Fedorov and E. Garrido},
journal= {arXiv preprint arXiv:nucl-th/0212088},
year = {2010}
}