# Scattering hypervolume for ultracold bosons from weak to strong interactions

## TL;DR

This paper investigates the three-body scattering hypervolume D for ultracold bosons with finite-range interactions, providing numerical confirmation of universal predictions in the strongly interacting regime and exploring the influence of quasibound states.

## Contribution

It offers the first numerical validation of universal D predictions in the Efimov regime for local nonzero-range potentials and analyzes the impact of quasibound states on D.

## Key findings

- Numerical confirmation of universal D predictions in the Efimov regime.
- D is affected by three-body quasibound states with d-wave or g-wave characteristics.
- Study covers a range from strongly repulsive to attractive potentials supporting multiple bound states.

## Abstract

The elastic scattering properties of three bosons at low energy enter the many-body description of ultracold Bose gases via the three-body scattering hypervolume $D$. We study this quantity for identical bosons that interact via a pairwise finite-range potential. Our calculations cover the regime from strongly repulsive potentials towards attractive potentials supporting multiple two-body bound states and are consistent with the few existing predictions for $D$. We present the first numerical confirmation of the universal predictions for $D$ in the strongly interacting regime, where Efimov physics dominates, for a local nonzero-range potential. Our findings highlight how $D$ is influenced by three-body quasibound states with strong $d$-wave or $g$-wave characteristics in the weakly interacting regime.