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.

References in corpus (1)

• Regularization of a three-body problem with zero-range potentials

Cited by in corpus (11)

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• Three-body Thomas-Ehrman shifts of analog states of ${}^{17}$Ne and ${}^{17}$N
• Anatomy of three-body decay I. Schematic models
• Scaling predictions for radii of weakly bound triatomic molecules
• Universality in molecular halo clusters
• Radiative capture reaction for ${}^{17}$Ne formation within a full three-body model
• Structure of exotic three-body systems
• Weak binding effects on the structure of ${}^{40}$Mg
• Borromean structures in medium-heavy nuclei