Volume 21, Issue 4
Calculation of Resonance S-Matrix Poles by Means of Analytic Continuation in the Coupling Constant

Jiří HoráčekLukáš Pichl

Commun. Comput. Phys., 21 (2017), pp. 1154-1172.

Published online: 2018-04

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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.

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@Article{CiCP-21-1154, author = {Horáček , Jiří and Pichl , Lukáš}, title = {Calculation of Resonance S-Matrix Poles by Means of Analytic Continuation in the Coupling Constant}, journal = {Communications in Computational Physics}, year = {2018}, volume = {21}, number = {4}, pages = {1154--1172}, 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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2016-0068}, url = {http://global-sci.org/intro/article_detail/cicp/11275.html} }
TY - JOUR T1 - Calculation of Resonance S-Matrix Poles by Means of Analytic Continuation in the Coupling Constant AU - Horáček , Jiří AU - Pichl , Lukáš JO - Communications in Computational Physics VL - 4 SP - 1154 EP - 1172 PY - 2018 DA - 2018/04 SN - 21 DO - http://doi.org/10.4208/cicp.OA-2016-0068 UR - https://global-sci.org/intro/article_detail/cicp/11275.html KW - AB -

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.

Jiří Horáček & Lukáš Pichl. (2020). Calculation of Resonance S-Matrix Poles by Means of Analytic Continuation in the Coupling Constant. Communications in Computational Physics. 21 (4). 1154-1172. doi:10.4208/cicp.OA-2016-0068
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