A method of model independent determination of the interaction potentials from elastic scattering data is presented. The procedure consists of a phase shift analysis (using, alternatively, a gradient method and a random search procedure to minimize the χ2 value) and an inversion of the phase shifts to potential (by using the modified Newton-Sabatier theory). The method is illustrated on synthetic data imitating the elastic scattering of 12C nuclei by the 32S target at fixed energy of E cm= 26.02 MeV.
KeywordsPhase Shift Elastic Scattering Inversion Method Phase Shift Analysis Fixed Energy
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