  Using a formulation of quantum mechanics based on the theory of orthogonal
polynomials, we introduce a four-parameter system associated with the Hahn and
continuous Hahn polynomials. The continuum energy scattering states are written
in terms of the continuous Hahn polynomial whose asymptotics give the
scattering amplitude and phase shift. On the other hand, the finite number of
discrete bound states are associated with the Hahn polynomial.
