Relativistic mean field interaction with density dependent meson-nucleon vertices based on microscopical calculations

TL;DR

This paper introduces a new high-precision density functional, DD-MEδ, incorporating four mesons with density-dependent couplings, based on microscopic ab-initio calculations, to improve the modeling of nuclear matter and finite nuclei.

Contribution

It presents a novel density functional including four mesons with density-dependent couplings, grounded in microscopic calculations, enhancing the covariant density functional theory for nuclear physics.

Findings

The functional accurately reproduces binding energies and charge radii.

It incorporates the isovector effective mass from Brueckner theory.

The model improves understanding of asymmetric nuclear matter.

Abstract

Although ab-initio calculations of relativistic Brueckner theory lead to large scalar isovector fields in nuclear matter, at present, successful versions of covariant density functional theory neglect the interactions in this channel. A new high precision density functional DD-ME$\delta$ is presented which includes four mesons $\sigma$, $\omega$, $\delta$, and $\rho$ with density dependent meson-nucleon couplings. It is based to a large extent on microscopic ab-initio calculations in nuclear matter. Only four of its parameters are determined by adjusting to binding energies and charge radii of finite nuclei. The other parameters, in particular the density dependence of the meson-nucleon vertices, are adjusted to non-relativistic and relativistic Brueckner calculations of symmetric and asymmetric nuclear matter. The isovector effective mass $m_{p}^{\ast}-m_{n}^{\ast}$ derived from relativistic Brueckner theory is used to determine the coupling strength of the $\delta$-meson and its density dependence.