Theory of Regge poles for 1/r2 potentials. II. An exactly solvable example at zero energy

Abstract

We give the exact solution of the Schrödinger equation at zero energy and derive an expression in closed form for the Regge poles for a particular 1/r2 potential with the behavior r2V (r) = −V0 at r = 0 and r2V (r) = −V2 at r = ∞. We give detailed results on the properties and distribution of the Regge poles in the λ plane and find them to be in agreement with the predictions of a previous paper in this series.