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Calculation of Resonance S-Matrix Poles by Means of Analytic Continuation in the Coupling Constant

Published online by Cambridge University Press:  08 March 2017

Jiří Horáček  and
Lukáš Pichl
Jiří Horáček*
Affiliation:
Charles University, Faculty of Mathematics and Physics, Prague, Czech Republic
Lukáš Pichl*
Affiliation:
International Christian University, 3-10-2 Osawa, Mitaka, Tokyo 181-8585, Japan
*
*Corresponding author. Email addresses:[email protected] (J. Horáček), [email protected] (L. Pichl)
*Corresponding author. Email addresses:[email protected] (J. Horáček), [email protected] (L. Pichl)
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Abstract

The method of analytic continuation in the coupling constant in combination with the use of statistical Padé approximation is applied to the determination of complex S-matrix poles, i.e. to the determination of resonance energy and widths. These parameters are of vital importance in many physical, chemical and biological processes. It is shown that an alternative to the method of analytic continuation in the coupling constant exists which in principle makes it possible to locate several resonances at once, in contrast to the original method which yields parameters of only one resonance. In addition the new approach appears to be less sensitive to the choice of the perturbation interaction used for the analytical continuation than the original method. In this paper both approaches are compared and tested for model analytic separable potential. It is shown that the new variant of the method of analytic continuation in the coupling constant is more robust and efficient than the original method and yields reasonable results even for data of limited accuracy.

Keywords

Analytical continuation in the coupling constantresonance parameterscomplex energystatistical Padé approximation
Type
Research Article
Information
Communications in Computational Physics , Volume 21 , Issue 4 , April 2017 , pp. 1154 - 1172
Copyright
Copyright © Global-Science Press 2017 

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