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

TL;DR

This paper presents a microscopic approach to understanding how nucleon-nucleon interactions and scattering are affected by dense, asymmetric nuclear matter, emphasizing the importance of medium and isospin effects for nuclear physics simulations.

Contribution

The paper introduces a detailed microscopic model for nucleon-nucleon interactions in asymmetric nuclear matter, highlighting the complex medium and isospin effects that influence scattering cross sections.

Findings

Medium and isospin asymmetry significantly alter elastic cross sections.

In-medium cross sections are crucial for accurate heavy-ion collision simulations.

Simple phenomenological models cannot fully capture the complex effects observed.

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.