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

Abstract

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

Prepared for a special issue of EPJA on the nuclear symmetry energy

References in corpus (6)

• Chiral effective field theory and nuclear forces
• In-medium NN cross sections determined from stopping and collective flow in intermediate-energy heavy-ion collisions
• The High-Density Symmetry Energy and Direct Urca
• Fusion process studied with preequilibrium giant dipole resonance in time dependent Hartree-Fock theory
• The neutron skin of ${}^{208}$Pb and the density dependence of the symmetry energy
• Microscopic in-medium nucleon-nucleon cross sections with improved Pauli blocking effects

Cited by in corpus (9)

• Dense Nuclear Matter Equation of State from Heavy-Ion Collisions
• Relativistic Brueckner-Hartree-Fock in nuclear matter without the average momentum approximation
• Shear viscosity from nuclear stopping
• Exact solution of the Brueckner-Bethe-Goldstone equation with three-body forces in nuclear matter
• Effects of nuclear symmetry energy and in-medium NN cross section in heavy-ion collisions at beam energies below the pion production threshold
• Isospin dependence of nucleon effective masses in neutron-rich matter
• In-medium nucleon-nucleon elastic cross sections determined from nucleon-induced reaction cross sections data
• Symmetry potentials and in-medium nucleon-nucleon cross sections within the Nambu-Jona-Lasinio model in relativistic impulse approximation
• In-medium nucleon-nucleon cross sections from relativistic ab initio calculations