Affiliation:
1. Department of Physics, University of Pretoria, Lynnwood Road, Pretoria, 0002, South Africa
Abstract
A new parametrization of the multi-channel [Formula: see text]-matrix is used to fit scattering data and then to locate the resonances as its poles. The [Formula: see text]-matrix is written in terms of the corresponding “in” and “out” Jost matrices which are expanded in the Taylor series of the collision energy [Formula: see text] around an appropriately chosen energy [Formula: see text]. In order to do this, the Jost matrices are written in a semi-analytic form where all the factors (involving the channel momenta and Sommerfeld parameters) responsible for their “bad behavior” (i.e., responsible for the multi-valuedness of the Jost matrices and for branching of the Riemann surface of the energy) are given explicitly. The remaining unknown factors in the Jost matrices are analytic and single-valued functions of the variable [Formula: see text] and are defined on a simple energy plane. The expansion is done for these analytic functions and the expansion coefficients are used as the fitting parameters. The method is tested on a two-channel model, using a set of artificially generated data points with typical error bars and a typical random noise in the positions of the points.
Publisher
World Scientific Pub Co Pte Lt
Subject
General Physics and Astronomy,Nuclear and High Energy Physics
Cited by
5 articles.
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