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

Exponential decay of eigenfunctions in a continuous multi-particle Anderson model with sub-exponentially decaying interaction