Poles of the S-Matrix in Woods-Saxon and Salamon-Vertse Potentials

摘要

The motions of the l = 0 poles of the S-matrix with varying potential strength is calculated in a cut-off Woods-Saxon (CWS) potential and in the Salamon-Vertse (SV) potential [3]. Both potentials are zero beyond a certain finite distance but the CWS potential has a jump at the cut while the SV potential goes to zero smoothly. The jump of the CWS potential might cause a strange circling of the trajectories at their starting region. This feature does not appear with the SV potential. Starting points of the trajectories depend on the ranges of the potentials. For CWS these points do depend on the unphysical cut-off radius. In this respect the SV potential seems to be superior to the CWS potential.