Can a model-independent analysis be made for the matter distribution of40Ca from 166 MeV α particle scattering?

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Abstract
The authors propose to extract, independently of any nuclear model, the 40Ca matter density from an analysis of the elastic scattering of 166 MeV alpha particles. The scattering is described using an optical potential whose real part is evaluated by folding the matter density with a nucleon-alpha interaction. Following the procedure proposed by Sick whose amplitudes are deduced in fitting, via a chi 2 minimization, the experimental cross section data. This method determines the envelope of densities for different parameters of gaussians: width, spacing. The envelope of the moments of these densities are presented and the root-mean-square radius is extracted. They conclude that only the nuclear surface is well studied by the alpha particle scattering.