A Study on Enhancement of the Total Reaction Cross-section Parameterization for the Nucleus-nucleus Collision with a Correction Factor

Abstract

The analyses of the transport and interaction of the heavy-ions are generally performed by using the computational code of Monte Carlo (MC) method and nuclear reaction model. In this study, enhancement of the parameterization of the total reaction cross- section model for the nucleus-nucleus collision was performed to improve the accuracy of the heavy-ion transport calculation. From the observation of the experimental data, a trend of a linearity between mass difference between target and projectile nucleus and total reaction cross-section is expected in the energy range over 10 MeV/n. Therefore the parameterization of the total reaction cross-section model used in the MC codes for the heavy-ion transport calculation was modified to reflect this trend. The parameterization of total reaction cross-section is modified with the modification of asymmetry term and the correction factor. This proposed parameterization is based on the Kox and Shen model. The asymmetry in the transparency term of the Shen model was modified to reflect the neutron excess of the target and projectile. The correction factor is estimated with the mass difference between the projectile and target nucleus based on the observation of the experimental data on the total reaction cross-section of the nucleus-nucleus collision of the heavy-ions. As a result, the modified parameterization of the total reaction cross-section was proposed and shows a good agreement with the experiments than the original parameterization of the model.