A simple expression for the Coulomb interaction of two deformed, arbitrarily oriented, axially symmetric nuclei is obtained. An accurate approximation for the nuclear part of the interaction between these nuclei has been proposed. The properties of the total potentials between nuclei with prolate-prolate, prolate-oblate, and oblate-oblate deformations at various orientations are discussed. The particularities of the total potentials for the systems leading to superheavy elements are considered in detail. The influence of quadrupole and hexadecapole deformations of both nuclei at various orientations on the barrier height and potential pocket properties is studied.

The S factor and the fusion cross-section values for the 12 C + 12 C reaction are evaluated in the framework of a simple barrier-penetration model, which takes into account quadrupole and hexadecapole surface deformations of 12 C. The calculated values agree well with corresponding experimental data at off-resonances energies. It is shown that the strong oblate quadrupole deformation of 12 C induces the increasing of both the S factor and the fusion cross-section values at subbarrier energies. The S factor and the fusion cross section for the 12 C + 12 C reaction are slightly reduced at low energy due to the influence of the hexadecapole deformation.

No abstract

No abstract