Abstract
A new method for analyzing ..cap alpha..-nucleus optical potentials is presented. It consists of adding to the conventional Woods-Saxon real potential an extra potential given by a Fourier-Bessel series. The coefficients of the series are determined by least-squares fit to experimental cross sections for elastic scattering. A detailed discussion of the uncertainties in the derived parameters is presented, both for the real potential as a function of radius and for integral quantities such as the volume integral and the root-mean-square radius. The method is illustrated using existing data over wide angular range for the elastic scattering of 139 MeV ..cap alpha.. particles by /sup 58/Ni and of 104 MeV ..cap alpha.. by /sup 40/Ca, where with the new method chi/sup 2/ per degree of freedom is reduced by a factor of between 5 and 7 to a value of almost 1. The method is also used for the analysis of data for 104 MeV ..cap alpha.. particles scattered by /sup 208/Pb, which is restricted to the diffraction region of the angular distribution. In that case the new method is capable of uniquely specifying the region where the real potential is well determined. Evidence is presented for saturation effects in themore » folding model.« less
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