In-medium nucleon-nucleon cross sections from characteristics of nuclear giant resonances and nuclear stopping power

Based on the Boltzmann-Uehling-Uhlenbeck (BUU) transport equation, a medium correction to the elastic nucleon-nucleon (NN) cross sections is given by comparing the width of the isovector giant dipole resonance in 208Pb and the nuclear stopping obtained from the BUU equation with those from experimental measurements. For the nuclear stopping, we choose the scaled rapidity distributions and the nuclear stopping power vartl, denoted as the ratio of the variances of the transverse to that of the longitudinal rapidity distributions, of central 197Au + 197Au collisions at the energy of 150A MeV measured by the INDRA and the FOPI collaborations. This enables us to provide a unified medium correction of elastic NN cross sections for distinct energy regimes. A reliable in-medium NN cross section, as given here, will reduce the uncertainties of the BUU equation when applying it to nuclear collective motion and heavy-ion collisions to extract the information of the nuclear equation of state.