Coupled-channel calculation for cross section of fusion and barrier distribution of O 16 , 17 , 18 + 16 O ${}^{16,17,18}\mbox{O} + {}^{16}\mbox{O}$ reactions

Abstract

In this work, the effect of multi-phonon excitation on heavy-ion fusion reactions has been studied and fusion barrier distributions of energy intervals near and below the Coulomb barrier have been studied for 16,17,18O + 16O reactions. The structure and deformation of nuclear projectiles have been studied. Given the adaptation of computations to experimental data, our calculations predict the behavior of reactions in intervals of energy in which experimental measurements are not available. In addition the S-factor for these reactions has been calculated. The results showed that the structure and deformation of a nuclear projectile are important factors. The S-factor, obtained in the coupled-channel calculations for the ${}^{16}\mbox{O} + {}^{16}\mbox{O}$ , ${}^{17}\mbox{O} +{}^{16}\mbox{O}$ and ${}^{18}\mbox{O} +{}^{16}\mbox{O}$ reactions, showed good agreement with the experimental data and had a maximum value at an energy near 5, 4.5 and 4 MeV, respectively.