  We study the theory of scattering for a class of Hartree type equations with
long range interactions in space dimension n > 2, including Hartree equations
with potential V(x) = lambda |x|^{- gamma}. For 0 < gamma < or =1 we prove the
existence of modified wave operators with no size restriction on the data and
we determine the asymptotic behaviour in time of solutions in the range of the
wave operators,thereby extending the results of a previous paper with the same
title (math.AP/9807031) which covered the range 1/2 < gamma <1.
