The calculation of total reaction cross sections induced by intermediate energy $\alpha$-particles with BUU Model

Abstract

The Boltzmann-Uehling-Uhlenbeck (BUU) Model, which includes the Fermi motion, the mean field, individual nucleon-nucleon (N-N) interactions and the Pauli blocking effect etc., is used to calculate the total reaction cross section ${\sigma }_R$ induced by $\alpha$-particles on different targets in the incident energy range from 17.4 to 48.1 MeV/u. The calculation result can reproduce the experimental data well. The nucleus-nucleus interaction radius parameter $r_0$ was extracted from experimental ${\sigma }_R$. It is found that $r_0$ becomes constant with increasing the mass number of target.

4 pages, 4 figs