Low-energy chain of resonances for three-dimensional Schrödinger operator with nearly Coulomb potential
The author considers the radial Schrödinger equation when the Coulomb potential is perturbed by a compactly supported nonnegative potential with a finite and positive first moment. It is shown that there exists a set of resonances [\textit{R. G. Newton}, Scattering theory of waves and particles, 2nd, ed., Springer-Verlag, New York (1982; Zbl 0496.47011)] converging to zero. The result is obtained by studying the low energy behavior of the Jost functions corresponding to different angular momenta and by using the author's earlier result [J. Math. Anal. Appl. 181, No. 3, 600-625 (1994)].
scientific article; zbMATH DE number 696885