Scattering of universal fermionic clusters in the resonating group method

TL;DR

This paper employs the resonating group method to study low-energy scattering of fermionic clusters, accurately reproducing known scattering lengths and estimating the unknown trimer-trimer scattering length, revealing it to be positive.

Contribution

It applies the resonating group method to universal fermionic clusters, providing new estimates for trimer-trimer scattering length.

Findings

Reproduces known particle-dimer and dimer-dimer scattering lengths

Estimates the trimer-trimer scattering length as positive

Demonstrates the method's effectiveness for universal fermionic clusters

Abstract

Mixtures of polarised fermions of two different masses can form weakly-bound clusters, such as dimers and trimers, that are universally described by the scattering length between the heavy and light fermions. We use the resonating group method to investigate the low-energy scattering processes involving dimers or trimers. The method reproduces approximately the known particle-dimer and dimer-dimer scattering lengths. We use it to estimate the trimer-trimer scattering length, which is presently unknown, and find it to be positive.