Abstract
We study the high-energy asymptotics of the free-channel-free-channel scattering matrix for the generalized N-body Schrodinger operator P=- Delta + Sigma a in AVa(Xa) with short-range interactions and prove that all the interactions Va are uniquely determined by the free-channel-free-channel scattering matrix at high energies. The potentials treated are more general than the sums of pair potentials, and in fact include all possible k-particle interactions with 2<or=k<or=N.
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