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After reviewing our microscopic approach to nuclear and neutron-rich matter,we focus on how nucleon-nucleon scattering is impacted by the presence of adense hadronic medium, with special emphasis on the case where neutron andproton densities are different. We discuss in detail medium and isospinasymmetry effects on the total elastic cross section and the mean free path ofa neutron or a proton in isospin-asymmetric nuclear matter. We point out thatin-medium cross sections play an important role in heavy-ion simulations aimedat extracting constraints on the symmetry potential. We argue that medium andisospin dependence of microscopic cross sections are the results of a complexbalance among various effects, and cannot be simulated with a simplephenomenological model.

Microscopic approach to the nucleon-nucleon effective interaction and nucleon-nucleon scattering in symmetric and isospin-asymmetric nuclear matter