Coherent description of elastic scattering and fusion at near-barrier energies for the Be9+Pb208 and Be9+Au197 reactions

Abstract

Elastic scattering, total reaction, and fusion cross sections of the systems $^{9}\mathrm{Be}+^{208}\mathrm{Pb}$ and $^{9}\mathrm{Be}+^{197}\mathrm{Au}$ at near-barrier energies, are coherently analyzed into two theoretical contexts. In a phenomenological approach, a BDM3Y1 interaction is used in an optical model potential analysis of the elastic-scattering data and the energy dependence of the potential is mapped around the Coulomb barrier. In a second approach, the elastic scattering is investigated within a four body framework by using the continuum-discretized coupled-channels method. In both scenarios, total reaction cross sections are determined and compared with phenomenological predictions. Moreover, an effective potential is obtained and in a one barrier penetration model analysis, the fusion excitation function is determined and compared with experimental data, further validating our analysis.