  We construct a new many-body Hamiltonian with two- and three-body
interactions in two space dimensions and obtain its exact many-body ground
state for an arbitrary number of particles. This ground state has a novel
pairwise correlation. A class of exact solutions for the excited states is also
found. These excited states display an energy spectrum similar to the
Calogero-Sutherland model in one dimension. The model reduces to an analog of
the well-known trigonometric Sutherland model when projected on to a circular
ring.
