Trajectories of the S-matrix poles in Salamon-Vertse potential

TL;DR

This paper investigates how the trajectories of S-matrix poles behave in the Salamon-Vertse potential and compares them to those in a cut-off Woods-Saxon potential, highlighting the influence of potential cut-off parameters.

Contribution

It provides the first detailed analysis of S-matrix pole trajectories in the Salamon-Vertse potential and compares them with the cut-off Woods-Saxon potential, emphasizing the role of cut-off radius.

Findings

Pole trajectories depend on the cut-off radius.

Starting points relate to the average ranges of potential terms.

Trajectories differ between SV and WS potentials.

Abstract

The trajectories of S-matrix poles are calculated in the finite-range phenomenological potential introduced recently by P. Salamon and T. Vertse (SV). The trajectories of the resonance poles in this SV potential are compared to the corresponding trajectories in a cut-off Woods-Saxon (WS) potential for l>0. The dependence on the cut-off radius is demonstrated. The starting points of the trajectories turn out to be related to the average ranges of the two terms in the SV potential.