A new family of shape invariantly deformed Darboux-Poeschl-Teller potentials with continuous l

We present a new family of shape invariant potentials which could be called a 'continuous l version' of the potentials corresponding to the exceptional (Xl) J1 Jacobi polynomials constructed recently by the present authors. In a certain limit, it reduces to a continuous l family of shape invariant potentials related to the exceptional (Xl) L1 Laguerre polynomials. The latter was known as one example of the 'conditionally exactly solvable potentials' on a half line.