Characteristics of the polarization part of the optical potential for a weakly bound projectile,Be9

Abstract

Based on the extended optical model with the double folding potential, in which the polarization potential is decomposed into direct reaction (DR) and fusion parts, simultaneous ${\ensuremath{\chi}}^{2}$ analyses are performed of elastic scattering and fusion cross-section data for the $^{9}\mathrm{Be}+^{28}\mathrm{Si}$, $^{144}\mathrm{Sm}$, and $^{208}\mathrm{Pb}$ systems at near-Coulomb-barrier energies. The polarization potentials thus determined are found to reveal an interesting target mass number dependence reflecting the experimental observation that the fusion cross section becomes larger than the DR cross section as the target changes from $^{208}\mathrm{Pb}$ to $^{28}\mathrm{Si}$.