We present the results of the model-independent analysis of Airy structures in the ${}^{16}\mathrm{O}+{}^{12}\mathrm{C}$ and ${}^{16}\mathrm{O}+{}^{16}\mathrm{O}$ 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 $l$.

• Received 12 November 2008

DOI:https://doi.org/10.1103/PhysRevC.79.024601