%0 Journal Article
%T On nonsingular potentials of Cox-Thompson inversion scheme
%A Tamas Palmai
%A Barnabas Apagyi
%J Mathematics
%D 2011
%I arXiv
%R 10.1063/1.3282849
%X 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.
%U http://arxiv.org/abs/1111.6029v1