  Differential Faddeev equations in total angular momentum representation are
used for the first time to investigate ultra-low energy elastic scattering of a
helium atom on a helium dimer. Six potential models of interatomic interaction
are investigated. The results improve and extend the Faddeev equations based
results known in literature. The employed method can be applied to
investigation of different elastic and inelastic processes in three- and
four-atomic weakly bounded systems below three-body threshold.
