An Example of Application of Analyticity in the Nuclear Medium: The Nuclear Energy Density

Abstract

In this section, following Ref. [8], we apply DRs to calculate the nuclear-matter energy density, $\mathcal{E}$, as a function of the Fermi momenta for the protons and neutrons, $\xi _p$ and $\xi _n$, respectively. Ref. [8] evaluates the contributions to the energy density of the nuclear medium up to and including NLO in the in-medium chiral counting developed in Ref. [109]. The different contributions are represented in Fig. 17.1. Without entering in the details of this in-medium chiral power counting, for what we refer to the latter reference, we focus our attention here to the contributions that generally stem from the iteration in the nuclear medium of the two-nucleon interactions, represented by the diagrams (c.1) and (c.2) in Fig. 17.1.