Abstract
Incomplete and error-affected data, coupled with a large number of phase shifts and coupling parameters, have made the phase-shift analysis of hyperon-nucleon scattering an ill-posed problem in the sense that one can always get equally reliable different sets of solutions. We conjecture that optimal exploitation of the analytic structure of the helicity amplitudes can possibly act as a stabilizing lever and help to distinguish between the equally reliable solutions. To this end we used the accelerated-convergent-expansion technique of Cutkosky and Deo and, as an example, applied it to ..sigma../sup +/p..--> sigma../sup +/p scattering at 150 MeV. We obtained a definite economy in the number of free parameters and, using changes in chi/sup 2/ as an indicator of the stability of the fit, observed that our procedure is very sensitive to changes in the solutions of the free parameters.
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