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Classification of three-body quantum halos

A. S. Jensen·K. Riisager·D. V. Fedorov·E. Garrido
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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.

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A. S. Jensen, K. Riisager, D. V. Fedorov, E. Garrido. 2002-12-20. Classification of three-body quantum halos. https://doi.org/10.1209/epl%2Fi2003-00172-5

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