  In this paper we describe the propagation of singularities of tempered
distributional generalized eigenfunctions of many-body Hamiltonians under the
assumption that no subsystem has a bound state and that the two-body
interactions are real-valued polyhomogeneous symbols of order -1 (e.g.
Coulomb-type with the singularity at the origin removed). Here the term
'singularity' provides a microlocal description of the lack of decay at
infinity. We use this result to prove that the wave front relation of the
free-to-free S-matrix (which, under our assumptions, is all of the S-matrix) is
given by the broken geodesic relation, broken at the 'singular directions'
(given by the collision planes) on the sphere, at time pi. We also present a
natural geometric generalization to asymptotically Euclidean spaces.
