New exact ground states for one-dimensional quantum many-body systems

We consider one-dimensional quantum many-body systems with pair interaction s in external fields and (re)investigate the conditions under which exact g round-state wave functions of product type can be found. Contrary to a clai m in the literature that an exhaustive list of such systems is already know n, we show that this list can still be enlarged considerably. In particular , we are able to calculate exact ground-state wave functions for a class of quantum many-body systems with Ax(-2) + Bx(2) interaction potentials and e xternal potentials given by sixth-order polynomials.