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Ein Vergleich von Eigenkanal-und R-Matrix-Theorie

Comparison of eigenchannel and R-matrix reaction theories

  • The convergence of the eigenchannel (EK) and R-matrix (RM) theories - depending on their free parameters - is numerically investigated by comparing with a simple, analytically solvable model. The comparison shows that the results of the EK-theory are in general closer to the exact solution than those of the RM-theory. Especially in regions of sharp resonances the dependence of the expansion of the wave functions on the interaction radius ac and on the boundary condition Bc is very strong in the RM-theory and one needs very many levels to achieve good results.

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Metadaten
Author:R. Petzold, Adolf Grauel
URN:urn:nbn:de:hebis:30:3-738643
DOI:https://doi.org/10.1515/zna-1972-1021
ISSN:1865-7109
Parent Title (German):Zeitschrift für Naturforschung, A
Publisher:Verlag der Zeitschrift für Naturforschung
Place of publication:Tübingen
Document Type:Article
Language:German
Date of Publication (online):2014/06/02
Year of first Publication:1972
Publishing Institution:Universitätsbibliothek Johann Christian Senckenberg
Release Date:2024/02/08
Volume:27.1972
Issue:10
Page Number:8
First Page:1508
Last Page:1515
Institutes:Physik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Sammlungen:Universitätspublikationen
Licence (German):License LogoCreative Commons - Namensnennung-Nicht kommerziell-Keine Bearbeitung 3.0