Initialization effects of nucleon profile on the $π$ yields in heavy-ion collisions at medium energies

Abstract

We study a problem of pion production in heavy ion collision in the context of the Isospindependent Boltzmann-Uehling-Uhlenbeck transport model. In order to ponder the effect of internucleon correlations on pion yields, we generated nucleon densities using two different models, the Skyrme-Hartree-Fock model and configuration interaction shell model. Indeed, inter-nucleon correlations are explicitly taken into account in shell model, while they are averaged in the Skyrme-Hartree-Fock model. As an application of our theoretical frameworks, we calculated the π − and π + yields in collisions of nuclei with A = 30 − 40 nucleons. It is found that the amount of the produced π − and π + mesons is larger using the shell model framework, whereas the π − /π + ratios bear similar values in both used models. Our calculations suggest that further study should be made to determine whether the Skyrme-Hartree-Fock model or shell-model framework is more appropriate to reproduce experimental pion yields.