Resonant three-body physics in two spatial dimensions

TL;DR

This paper investigates three-body interactions of identical bosons in two dimensions with large scattering length, emphasizing the impact of effective range corrections on bound states, scattering, and recombination rates, relevant for experimental observations.

Contribution

The study provides the first calculation of effective range corrections to three-body properties in two-dimensional bosonic systems near unitarity.

Findings

Effective range significantly affects three-body binding energies.

Three-body recombination rates are sensitive to effective range corrections.

Results have implications for future experimental studies in 2D bosonic systems.

Abstract

We discuss the three-body properties of identical bosons exhibiting large scattering length in two spatial dimensions. Within an effective field theory for resonant interactions, we calculate the leading non-universal corrections from the two-body effective range to bound-state and scattering observables. In particular, we compute the three-body binding energies, the boson-dimer scattering properties, and the three-body recombination rate for finite energies. We find significant effective range effects in the vicinity of the unitary limit. The implications of this result for future experiments are briefly discussed.