Comparative analysis of the Coulomb barrier in heavy-ion collisions by the double-folding method

Abstract

The double-folding formalism has been applied to calculate the nucleus-nucleus potential by the use of the effective nucleon-nucleon (Migdal) potential and the nuclear densities of the interacting nuclei presented as the Gaussian-type functions and polynomials. The Coulomb barrier heights obtained by this way and by different types of the proximity potentials have been compared. The deviations of the theoretical values of the Coulomb barrier from the values extracted from the experimental data are discussed. The capture cross section calculated for the reactions with the light projectiles is in good agreement with experimental values. The theoretical results obtained for the 16O+144Sm and 17O+144Sm reactions could reproduce a significant difference in the experimental results for these reaction, which is related with the extra neutron in 17O. The overestimation of the experimental data obtained from different sources by the curve of the theoretical results of the 40Ca+96Zr reactions is explained by the appearance of the slight hindrance to complete fusion, i.e the capture and fusion cross sections are not equal in this reaction.