Isospin dependence of nucleon effective masses in neutron-rich matter

TL;DR

This paper reviews and combines different methods to analyze the isospin dependence of nucleon effective masses in neutron-rich matter, with implications for nucleon mean free paths.

Contribution

It provides a comprehensive analysis of the isospin dependence of nucleon effective masses by integrating scattering data and momentum distribution insights, revealing new relations among effective mass components.

Findings

Isospin dependence of total nucleon effective mass inferred from scattering data.

Isospin dependence of nucleon E-mass obtained from electron scattering experiments.

Derived isospin dependence of nucleon k-mass and discussed implications for nucleon mean free path.

Abstract

In this talk, we first briefly review the isospin dependence of the total nucleon effective mass $M^{\ast}_{J}$ inferred from analyzing nucleon-nucleus scattering data within an isospin dependent non-relativistic optical potential model, and the isospin dependence of the nucleon E-mass $M^{\ast,\rm{E}}_{J}$ obtained from applying the Migdal-Luttinger theorem to a phenomenological single-nucleon momentum distribution in nuclei constrained by recent electron-nucleus scattering experiments. Combining information about the isospin dependence of both the nucleon total effective mass and E-mass, we then infer the isospin dependence of nucleon k-mass using the well-known relation $M^{\ast}_{J}=M^{\ast,\rm{E}}_{J}\cdot M^{\ast,\rm{k}}_{J}$. Implications of the results on the nucleon mean free path (MFP) in neutron-rich matter are discussed.