Effect of in-medium NN cross section and finite range force on the reaction cross section for a deformed target nucleus

Abstract

A method is described to calculate the heavy ion reaction cross section ${\ensuremath{\sigma}}_{R}$ when one of the two nuclei is deformed. This method is based on both the double folding model and the optical limit approximation to Glauber theory. Both finite range of the nucleon-nucleon $(NN)$ interaction and in-medium effects of $NN$ cross section are included. The interacting pair $^{12}\mathrm{C}\text{\ensuremath{-}}^{238}\mathrm{U}$ is taken to study orientation, energy, and deformation dependence of ${\ensuremath{\sigma}}_{R}$. The finite range force increases the value of ${\ensuremath{\sigma}}_{R}$ by about $5%$. In-medium $NN$ cross section decreases ${\ensuremath{\sigma}}_{R}$ by about $1.9%$ compared to the free $NN$ cross section.