Nucleon states of strongly deformed nuclei and dinuclear systems in the nonoscillator two-center model

A new method for numerically solving the Schrö dinger equation for an arbitrary axisymmetric field with allowance for spin-orbit interaction is used to study neutron and proton states in strongly deformed nuclei and dinuclear systems produced at the first step of the fusion of nuclei. A quadrupole-octupole parametrization is proposed for the shape of a dinuclear system and for the potential energy of nucleons in this system. The experimentally observed deformations of the ^26,27,28Mg nuclei and the difference in the cross sections for the fusion of nuclei in the ¹⁸O + ⁵⁸Ni and ¹⁶O + ⁶⁰Ni systems are explained qualitatively.