Three-body problem in Fermi gases with short-range interparticle interaction

TL;DR

This paper investigates three-body processes in ultracold Fermi gases with short-range interactions, revealing universal behavior of recombination probabilities and calculating atom-dimer scattering lengths.

Contribution

It introduces a universal framework for understanding three-body recombination in Fermi gases and provides explicit calculations of atom-dimer scattering lengths.

Findings

Recombination probability is a universal function of mass ratio and scattering length.

Recombination probability is independent of short-range physics.

Calculated atom-dimer scattering length for Fermi gases.

Abstract

We discuss 3-body processes in ultracold two-component Fermi gases with short-range intercomponent interaction characterized by a large and positive scattering length $a$. It is found that in most cases the probability of 3-body recombination is a universal function of the mass ratio and $a$, and is independent of short-range physics. We also calculate the scattering length corresponding to the atom-dimer interaction.