Close Search Advanced
Journals
Resources
About Us
Open Access

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

Calculation of Resonance S-Matrix Poles by Means of Analytic Continuation in the Coupling Constant
Preview
Add to basket

Year:    2017

Author:    Jiří Horáček, Lukáš Pichl

Communications in Computational Physics, Vol. 21 (2017), Iss. 4 : pp. 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.

Submit Article

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.OA-2016-0068

Communications in Computational Physics, Vol. 21 (2017), Iss. 4 : pp. 1154–1172

Published online:    2017-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    19

Keywords:   

Author Details

Jiří Horáček

Lukáš Pichl

  1. Feasibility of perturbative generation of bound states from resonances or virtual states

    Yang, C.-J.

    Physical Review C, Vol. 109 (2024), Iss. 5

    https://doi.org/10.1103/PhysRevC.109.054003 [Citations: 0]

  2. Expansion of scattering length in S -matrix poles and the phenomenon of resistant virtual states

    Čurík, Roman | Tarana, Michal | Horáček, Jiří

    Physical Review A, Vol. 108 (2023), Iss. 1

    https://doi.org/10.1103/PhysRevA.108.012807 [Citations: 4]

  3. Nature of the Λnn(Jπ=1/2+, I=1) and Λ3H*(Jπ=3/2+, I=0) states

    Schäfer, M. | Bazak, B. | Barnea, N. | Mareš, J.

    Physical Review C, Vol. 103 (2021), Iss. 2

    https://doi.org/10.1103/PhysRevC.103.025204 [Citations: 10]

  4. Consequences of increased hypertriton binding for s -shell Λ -hypernuclear systems

    Schäfer, M. | Bazak, B. | Barnea, N. | Gal, A. | Mareš, J.

    Physical Review C, Vol. 105 (2022), Iss. 1

    https://doi.org/10.1103/PhysRevC.105.015202 [Citations: 7]

  5. Microscopic investigation of one- and two-proton decay from the excited states of 10C

    Zhao, Qing | Kimura, Masaaki | Zhou, Bo | Shin, Seung-heon

    Physics Letters B, Vol. 850 (2024), Iss. P.138511

    https://doi.org/10.1016/j.physletb.2024.138511 [Citations: 0]

  6. reskit: A toolkit to determine the poles of an S-matrix

    Bingham, Peter S. | Gorfinkiel, Jimena D.

    Computer Physics Communications, Vol. 239 (2019), Iss. P.272

    https://doi.org/10.1016/j.cpc.2019.01.007 [Citations: 2]

  7. The continuum spectrum of hypernuclear trios

    Schäfer, M. | Bazak, B. | Barnea, N. | Mareš, J.

    Physics Letters B, Vol. 808 (2020), Iss. P.135614

    https://doi.org/10.1016/j.physletb.2020.135614 [Citations: 16]