Three-Body Recombination in Ultracold Systems: Prediction of Weakly-Bound Atomic Trimer Energies

TL;DR

This paper presents a universal scaling approach to predict weakly-bound trimer energies in ultracold atomic systems based on three-body recombination coefficients and scattering length, with implications for Bose-Einstein condensate experiments.

Contribution

It introduces a universal scaling function linking three-body recombination data to trimer energies, advancing understanding of few-body physics in ultracold gases.

Findings

Predicted trimer energies using the universal scaling function.

Analyzed dimer production in Bose-Einstein condensates near Feshbach resonances.

Connected theoretical predictions with experimental observations.

Abstract

The three-body recombination coefficient of a trapped ultracold atomic system, together with the corresponding two-body scattering length $a$, allow us to predict the energy $E_3$ of the shallow trimer bound state, using a universal scaling function. The production of dimers in Bose-Einstein condensates, from three-body recombination processes, in the regime of short magnetic pulses near a Feshbach resonance, is also studied in line with the experimental observation.