Elastic scattering and fusion of ⁹Be+²⁰⁸Pb: Density function dependence of the double folding renormalization

Elastic scattering angular distributions of the weakly bound ⁹Be projectile from ²⁰⁸Pb have been measured for 11 beam energies ranging from 38 to 75 MeV. Analysis was carried out with the optical model, employing a double folded microscopic real potential with four different ⁹Be density functions. The surface strengths of the interaction potentials were consistent and all exhibited a threshold anomaly. However, the renormalization factor required to obtain an optimum fit to the data varied significantly depending upon which ⁹Be density function was used, cautioning that conclusions about the effect of breakup should not be based solely upon the value of this factor. Fusion cross sections predicted from these potentials were extracted using a barrier penetration model. Comparison with recently published experimental data suggests that the flux removed from complete fusion by breakup is balanced by the flux redirected into the partial fusion channel.