Determination of Resonance Parameters by Use of Pade III Approximation

Journal Article · Wed Sep 09 00:00:00 EDT 2009 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3241349· OSTI ID:21322906

Horacek, Jiri ^[1]

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1. Faculty of Mathematics and Physics, Charles University in Prague, V Holesovickach 2, 180 00 Praha 8 (Czech Republic)

Analytic continuation in the coupling constant is studied by means of the statistical Pade approximation (Pade III approximation). The method is used to calculate resonance energies and widths for model potential, consisting of two Dirac {delta}-functions, which allows for an analytic solution of the scattering problem. Bound states are determined for a range of coupling parameters and the resonance parameters are then obtained by the analytic continuation. The role of selection of the input data on the calculated resonance parameters is discussed.

• OSTI ID: 21322906
• Journal Information: AIP Conference Proceedings, Vol. 1168, Issue 1; Conference: International conference on numerical analysis and applied mathematics 2009, Rethymno, Crete (Greece), 18-22 Sep 2009; Other Information: DOI: 10.1063/1.3241349; (c) 2009 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
BOUND STATE
COUPLING
COUPLING CONSTANTS
DELTA FUNCTION
PADE APPROXIMATION
POTENTIALS
RESONANCE
SCATTERING