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

## TL;DR

This paper investigates the behavior of bosonic systems with two- and three-body interactions near the unitary limit, exploring scale invariance, the Efimov effect, and correlations between few- and many-body properties.

## Contribution

It provides new insights into the relationship between few-body and many-body bosonic systems close to the unitary limit, including the effects of two- and three-body interactions.

## Key findings

- Identification of scale invariance in two-body systems near unitarity
- Observation of Efimov effect in three-boson systems
- Correlation between few-body binding energies and many-body saturation properties

## Abstract

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.