Some applications of the Faddeev-Yakubovsky equations to the cold-atom physics

TL;DR

This paper discusses recent applications of the Faddeev-Yakubovsky equations to atomic physics, focusing on scattering and bound states in cold-atom systems, including hydrogen and helium clusters.

Contribution

It demonstrates the use of Faddeev-Yakubovsky equations for modeling atomic bound and scattering problems in cold-atom physics, highlighting new applications in helium clusters and charged particle scattering.

Findings

Effective modeling of charged particle scattering by hydrogen

Insights into bound states of helium multimers

Enhanced understanding of cold atom scattering processes

Abstract

We present some recent applications of the Faddeev--Yakubovsky equations in describing atomic bound and scattering problems. We consider the scattering of a charged particle $X$ by atomic hydrogen with special interest in $X=p,e^{\pm}$, systems of cold bosonic molecules and the bound and scattering properties of N=3 and N=4 atomic $^4$He multimers.