Quantization of a billiard model for interacting particles

We consider a billiard model of a self-bound, interacting three-body system in two spatial dimensions. Numerical studies show that the classical dynam ics is chaotic. The corresponding quantum system displays spectral fluctuat ions that exhibit small deviations from random matrix theory predictions. T hese can be understood in terms of a new type of scarring caused by a one-p arameter family of orbits inside the collinear manifold.