A path to the Nuclear Equation of State within the frameworks of Mean-Field and Fermionic Dynamics

TL;DR

This paper develops a theoretical framework combining Fermionic Dynamics and Mean-Field approaches to describe the nuclear Equation of State, producing new semi-hard EoS and accurately modeling nuclear properties across a wide mass range.

Contribution

It introduces a unified theoretical description of the nuclear EoS within Fermionic Dynamics and Mean-Field frameworks, including new semi-hard EoS with density-dependent effective mass.

Findings

Produced several new semi-hard EoS with density-dependent effective mass.

Successfully calculated binding energies and charge radii for nuclei with A=40--238.

Demonstrated consistency between Fermionic Dynamics and Mean-Field models.

Abstract

The nuclear Equation of State (EoS) lies in the center of the nuclear N-body problem as it describes the properties of the Nuclear Matter (NM) and determines the parameters of the nuclear interaction. In this work, we propose a theoretical description of the EoS of both Symmetric (SNM) and Asymmetric (ANM) nuclear matter within the framework of Fermionic Dynamics. With this description we produce several new semi-hard EoS with density dependent effective mass. Finally, we transform the aforementioned theory in order to be consistent with Mean-Field dynamics. We use this approach to accurately calculate the binding energies and charge radii of nuclei in the A= 40--238 region with the Skyrme Hartree Fock (SHF) model.