On the Poles of the S Matrix for Long-Range Potentials
- 1 July 1966
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 7 (7) , 1207-1217
- https://doi.org/10.1063/1.1705024
Abstract
The analytic properties in the complex k plane of the S matrix for scattering by a screened Coulomb potential are studied. Particular attention is given to the limit as the screening radius tends to infinity, so as to show, in an explicit example, the effect of the tail of the potential on the properties of the analytically extended S matrix. It is shown that the pole configuration obtained in this way is different from that obtained in the usual description of the analytic properties of the Coulomb S matrix.Keywords
This publication has 3 references indexed in Scilit:
- Analytic Properties of Radial Wave FunctionsJournal of Mathematical Physics, 1960
- On the analytic properties of partial wave scattering amplitudes obtained from the Schrödinger equationIl Nuovo Cimento (1869-1876), 1959
- The poles of the S-matrix of a rectangular potential well of barrierNuclear Physics, 1959