Bosonic drops with two- and three-body interactions close to the unitary limit

When the binding energy of a two-body system goes to zero the two-body system shows a continuous scaling invariance governed by the large value of the scattering length. In the case of three identical bosons, the three-body system in the same limit shows the Efimov effect and the scale invariance is broken to a discrete scale invariance. As the number of bosons increases correlations appear between the binding energy of the few- and many-body systems. We discuss some of them as the relation between the saturation properties of the infinite system and the low-energy properties of the few-boson system.
Comment: 6 pages, 3 figures. Contribution to the proceedings of the XXII International Conference on Few-Body Problems in Physics (FB22) (Caen, France, July 2018)