Simultaneous analyses of elastic scattering and fusion cross sections for the 32S+58,64Ni systems at energies near the Coulomb barrier.

Abstract

Based on the optical model, simultaneous ${\ensuremath{\chi}}^{2}$ analyses are performed on elastic scattering and fusion cross sections measured for the $^{32}\mathrm{S}$+$^{58,64}\mathrm{Ni}$ systems at several energies around the Coulomb barrier. We take the imaginary part of the optical potential used to consist of a surface-type direct and a volume-type fusion terms, ${W}_{D}$ and ${W}_{F}$, respectively, the latter of which accounts for fusion. It is shown that such analyses can determine ${W}_{F}$ and ${W}_{D}$ fairly unambiguously, and that the potentials thus determined explain all of the characteristic features observed in the elastic scattering, fusion, and direct reaction cross sections. It is also shown that the potential satisfies the dispersion relation at the strong absorption radius.