On nonsingular potentials of Cox-Thompson inversion scheme
  We establish a condition for obtaining nonsingular potentials using the Cox-Thompson inverse scattering method with one phase shift. The anomalous singularities of the potentials are avoided by maintaining unique solutions of the underlying Regge-Newton integral equation for the transformation kernel. As a by-product, new inequality sequences of zeros of Bessel functions are discovered. 
Tamas Palmai and Barnabas Apagyi
math-ph math.CA math.MP quant-ph