  We explore a two-body system with superexponential interactions that serves
as a fundamental building block for a route to complexity. While being of
striking simplicity this highly nonlinear interaction yields a plethora of
intriguing properties and a rich dynamics. It exhibits a spatial region where
the dynamics occurs in a channel characterised by a transversally confined and
longitudinally unbounded motion and additionally two distinct regions where the
dynamics is asymptotically free. A deconfinement transition via two saddle
points connects the dynamics in the channel with the asymptotically free
motion. The scattering functions show plateau and peak structures that can be
interpreted in terms of corresponding correlation diagrams. These are
intimately related to the varying anharmonicity of the transverse motion while
moving along the longitudinal dimension of the channel. We perform a
comprehensive analysis of the scattering transition for energies below and
above the saddle points. Possible variants and extensions of the
superexponential interaction to many-body system are briefly discussed.
