Vaandrager, P.Lekala, M.L.Rakityansky, Sergei Anatoljevich2025-06-242025-06-242025-04Vaandrager, P., Lekala, M.L. & Rakityansky, S.A. R-matrix type parametrization of the Jost function for extracting the resonance parameters from scattering data. European Physical Journal A 61, 79 (2025). https://doi.org/10.1140/epja/s10050-025-01549-x.1434-6001 (print)1434-601X (online)10.1140/epja/s10050-025-01549-xhttp://hdl.handle.net/2263/102952DATA AVAILABILITY STATEMENT : This manuscript has associated data in a data repository. [Author’s comment: The authors confirm that the data supporting the findings of this study are available within the article.] CODE AVAILABILITY STATEMENT : This manuscript has associated code/software in a data repository. [Author’s comment: The code/software for this study is not available, and a link is not provided.]A new method is proposed for fitting non-relativistic binary-scattering data and for extracting the parameters of possible quantum resonances in the compound system that is formed during the collision. The method combines the well-known R-matrix approach with the analysis based on the semi-analytic representation of the Jost functions. It is shown that such a combination has the advantages of both these approaches, namely, the number of the fitting parameters remains relatively small (as for the R-matrix approach) and the proper analytic structure of the S-matrix is preserved (as for the Jost function method). It is also shown that the new formalism, although closely related to the R-matrix method, has the benefit of no dependence on an arbitrary channel radius. The efficiency and accuracy of the proposed method are tested using a model single-channel potential. Artificial “experimental” data generated with this potential are fitted, and its known resonances are successfully recovered as zeros of the Jost function on the appropriate sheet of the Riemann surface of the energy.en© The Author(s) 2025. Open Access. This article is licensed under a Creative Commons Attribution 4.0 International License.R-matrix type parametrizationJost functionResonance parametersScattering dataArticle