Simple expressions for calculation of proximity interaction of arbitrarily oriented deformed nuclei

Abstract

Simple expressions for the calculation of proximity interaction of arbitrarily oriented deformed nuclei are obtained in the linear approximation with respect to the deformation parameters of the colliding nuclei. It is shown that these expressions are useful for the analysis and calculation of the nucleus–nucleus potential and the reaction cross-section. The strong dependence of the total potential for the system [Formula: see text] on the orientation of erbium is discussed. The dependence of the barrier height, radius, and curvature on the orientation angle is considered in detail. The experimental data for the fusion cross-section for the systems [Formula: see text] are well described in the framework of the barrier-penetration model when the ground-state quadrupole and hexadecapole deformations of erbium are taken into account.