Abstract
Angular distributions of differential cross sections for scattering of alpha-particles on 24 Mg nuclei are described as scattering on a black absorbing nucleus and its alpha-cluster components using first-order Bessel functions. The dependence of the interaction radius of alpha-clusters in a nucleus on the energy of incident particles is found. The radius varies because scattering at low energies can occur upon the correlated motion of two or three alpha-clusters. Scattering at average energies occurs mainly on separated alpha-cluster structures. As the energy increases, the contribution from the alpha-particle mode falls while the contribution from the modes of scattering on nucleons rises; this can manifest itself as growth of the interaction radius due to the interference between the alpha-cluster mode and those of smaller cluster structures and nucleons. A contribution to the nonuniform rise of angular distributions of differential cross sections is thus also possible due to these effects.