Model-independent analysis of Airy structures in the 16O+12C and 16O+16O elastic scattering differential cross sections at 13-22 MeV/nucleon

We present the results of the model-independent analysis of Airy structures in the O-16+C-12 and O-16+O-16 elastic scattering differential cross sections at 13-22 MeV/nucleon. The analysis has been performed with help of a procedure based on the application of the evolutionary algorithm, which enables us to extract the nuclear part of the scattering matrix S-N(l) as a complex function of angular momentum directly from the scattering data. Contrary to the commonly used model approaches, our procedure gives the better fits and leads to the S-N(l) representations defined by the moduli and the nuclear phases exhibiting smooth monotonic dependencies on l.