Rakityansky, Sergei AnatoljevichElander, N.2014-09-052014-09-052013Rakityansky, SA & Elander, N 2013, 'A method for extracting the resonance parameters from experimental cross-sections', International Journal of Modern Physics E : Nuclear Physics, vol. 22, no. 5, pp. 1-17.0218-3013 (print)1793-6608 (online)10.1142/S0218301313500328http://hdl.handle.net/2263/41931Within 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.en© World Scientific Publishing Company. Electronic version of an article published as International Journal of Modern Physics E, vol. 22, no. 5, pp. 1-17, 2013. doi : 10.1142/S0218301313500328.Multi-channel resonancesEnergy Riemann surfaceS-matrixA method for extracting the resonance parameters from experimental cross-sectionsPostprint Article