A METHOD FOR EXTRACTING THE RESONANCE PARAMETERS FROM EXPERIMENTAL CROSS-SECTIONS
2013 (English)In: International Journal of Modern Physics E, ISSN 0218-3013, Vol. 22, no 5, UNSP 1350032- p.Article in journal (Refereed) Published
Within the proposed method, a set of experimental data points are fitted using a multi-channel S-matrix. Then the resonance parameters are located as its poles on an appropriate sheet of the Riemann surface of the energy. The main advantage of the method is that the S-matrix is constructed in such a way that it has proper analytic structure, i.e. for any number of two-body channels, the branching at all the channel thresholds is represented via exact analytic expressions in terms of the channel momenta. The way the S-matrix is constructed makes it possible not only to locate multi-channel resonances but also to extract their partial widths as well as to obtain the scattering cross-section in the channels for which no data are available. The efficiency of the method is demonstrated by two model examples of a single-channel and a two-channel problems, where known resonance parameters are rather accurately reproduced by fitting the pseudo-data artificially generated using the corresponding potentials.
Place, publisher, year, edition, pages
2013. Vol. 22, no 5, UNSP 1350032- p.
Jost matrix, multi-channel resonances, energy Riemann surface
IdentifiersURN: urn:nbn:se:su:diva-92034DOI: 10.1142/S0218301313500328ISI: 000319839500013OAI: oai:DiVA.org:su-92034DiVA: diva2:637227