The use of Ixaru's method in locating the poles of the S-matrix in strictly finite-range potentials

Journal Article · Wed Sep 26 00:00:00 EDT 2012 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4756370· OSTI ID:22075537

Vertse, Tamas; Lovas, R G; Racz, A; Salamon, P ^[1]

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1. University of Debrecen, Faculty of Informatics, Chair of Applied Mathematics and Probability, Debrecen, Hungary and Institute of Nuclear Research of the Hungarian Academy of Sciences, Debrecen (Hungary)

Energies of the S-matrix poles are calculated by solving the radial Schroedinger equation numerically by using Ixaru's CPM(2) method. The trajectories of the poles in the complex wave number plane are determined for two nuclear potentials that are zero beyond finite distances. These are the Woods-Saxon form with cutoff and the Salamon-Vertse potential, which goes to zero smoothly at a finite distance. Properties of the trajectories are analyzed for real and complex values of the depths of the corresponding potentials.

• OSTI ID: 22075537
• Journal Information: AIP Conference Proceedings, Vol. 1479, Issue 1; Conference: ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics, Kos (Greece), 19-25 Sep 2012; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
COMPLEXES
INTERACTION RANGE
PERT METHOD
POTENTIAL ENERGY
S MATRIX
SCHROEDINGER EQUATION
SHELL MODELS
WOODS-SAXON POTENTIAL