Model-independent analysis of Airy structures in the differential cross sections for the elastic scattering of He-4 and O-16 nuclei within a single S-matrix systematics

摘要

On the basis of a model-independent S-matrix approach, the differential cross sections for elastic He-4-Zr-90, O-16-C-12, and O-16-O-16 scattering at energies of projectile nuclei in the range 13-30 MeV per nucleon are analyzed by using an evolution algorithm. In each of the cases considered in this analysis, the resulting scattering matrix is associated with the same S-matrix systematics and is determined by an absolute value and a nuclear phase, which are smooth and monotonic functions of the orbital angular momentum.