Reaction cross sections at intermediate energies and Fermi-motion effect

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.

在30到400MeV/核子的能量范围内，对碳 - 12撞击铍、碳和铝靶以及铍 - 11撞击铍靶的反应截面（$\sigma_{R}$）进行了精确测量。将碳 - 12、铍 - 11和硼 - 8的$\sigma_{R}$的能量依赖关系与使用由实验数据支持的可靠核子密度分布进行的格拉乌贝尔型计算进行了比较。研究发现，包含高阶多次散射效应、有限程效应以及核内核子的费米运动效应的格拉乌贝尔型计算，似乎为将中等能量下的$\sigma_{R}$与适当的核子密度分布相关联提供了一个良好的方法。这种方法为通过$\sigma_{R}$测量来研究核表面结构提供了一个有力的工具。