Model-independent description of the light nucleus-nucleus elastic scattering at intermediate energies

Abstract

We propose a new approach, based on the evolutionary algorithm, which enables to extract a scattering matrix S(l) as a complex function of angular momentum l directly from the nucleus-nucleus elastic scattering data at intermediate energies without any additional model assumptions implied. Due to the automatic monitoring of the scattering matrix derivatives, the obtained S-matrix for 16О - 16О-scattering at 350 MeV is determined by the modulus and nuclear phase, which are smooth monotonic functions of angular momentum. We show the independence of the final S - matrix shapes of the primary model representations chosen to be the commonly used phenomenological ones.