Reaction cross sections at intermediate energies and Fermi-motion effect

Abstract

Precise measurements of the reaction cross sections ($\ensuremath{\sigma}{}_{\mathrm{R}}$) for $^{12}\mathrm{C}$ on Be, C, and Al targets and $^{11}\mathrm{Be}$ on Be targets were performed in the energy range between 30 and 400 MeV/nucleon. The energy dependencies of $\ensuremath{\sigma}{}_{\mathrm{R}}$ for $^{12}\mathrm{C}$, $^{11}\mathrm{Be}$, and $^{8}\mathrm{B}$ were compared to Glauber-type calculations performed using reliable nucleon-density distributions that are supported by experimental data. It was found that the Glauber-type calculations, which include the higher-order multiple scattering effect, the finite-range effect, and the Fermi-motion effect of nucleons in the nucleus, seem to provide a good prescription relating $\ensuremath{\sigma}{}_{R}$ at intermediate energies to a proper nucleon-density distribution. This method provides a powerful tool with which to study the nuclear surface structure through the $\ensuremath{\sigma}{}_{\mathrm{R}}$ measurements.