  This short note is a complement to our recent paper [2] where we established
strong dynamical localization for a class of multi-particle Anderson models in
a Euclidean space with an alloy-type random potential and a sub-exponentially
decaying interaction of infinite range. We show that the localized
eigenfunctions at low energies actually decay exponentially fast. This improves
the results by Fauser and Warzel who established sub-exponential decay of
eigenfunctions in presence of a sub-exponentially decaying interaction.
