Initialization Effects Of Nucleon Profile On The Pi Yields In Heavy-Ion Collisions At Medium Energies

We study the problem of pi production in heavy-ion collisions in the context of the isospin-dependent Boltzmann-Uehling-Uhlenbeck transport model. We generated nucleon densities using two different models, the Skyrme-Hartree-Fock (SHF) model and the configuration interaction shell model (SM). Indeed, inter-nucleon correlations are explicitly taken into account in SM, while they are averaged in the SHF model. As an application of our theoretical frameworks, we calculated the pi (-) and pi (+) yields in collisions of nuclei with A = 30-40 nucleons. We used different harmonic oscillator lengths b (HO) to generate the harmonic oscillator basis for SM in order to study both theoretical and experimental cases. It is found that the SM framework with b (HO) = 2.5 fm and SHF can be distinguished by the yield of pi mesons, in this case the density distribution calculated by the SM produces more pi in the collision. In comparison, SM with b (HO) = 2.0 fm is distinguished from SHF by the double pi (-)/pi (+) ratios with different large impact parameters, from which one can find that the double pi (-)/pi (+) ratios of SM change smoother and are less than those of SHF.