  We discuss the general three-particle quantum scattering problem, for motion
restricted to the full line. Specifically, we formulate the three-body problem
in one dimension in terms of the (Faddeev-type) integral equation approach. As
a first application, we develop a spinless, one-dimensional (1-D) model that
mimics three-nucleon dynamics in one dimension. In addition, we investigate the
effects of pionic 3NF diagrams.
