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

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 ± , systems of cold bosonic molecules and the bound and scattering properties of N = 3 and N = 4 atomic 4He multimers.