Relativistic density functional for nuclear matter

Stefan Gmuca,Jozef Leja,Kristian Petrík,S Bondarenko,V Burov,A Malakhov

doi:10.1051/epjconf/201920405001

Abstract

In the present work, we have mapped the exchange Fock contributions from the Dirac–Hartree–Fock (DHF) approach for nuclear matter onto the direct Hartree terms. This results in the relativistic mean field (RMF) model with the density dependent couplings. The density dependence of the effective coupling constants thus reflects the exchange correlations. The exchange part of an energy density of the linear DHF model in dense matter is evaluated in a parameter-free closed form and, after the rearrangement of the terms, expressed as density functional.

Highlights

One of the central issues of current nuclear physics is to develop the density functional for a proper description of exotic nuclei and equation–of–state (EOS) of nuclear matter
The relativistic mean field (RMF) model has greatly contributed to our understanding of nuclear structure, and it was intensively used over years for a description of a wide class of nuclear phenomena
In the present work we have mapped the exchange Fock contributions from the DHF approach for nuclear matter onto the direct Hartree terms. This results in the relativistic mean field model with the density dependent couplings

Summary

Introduction

One of the central issues of current nuclear physics is to develop the density functional for a proper description of exotic nuclei and equation–of–state (EOS) of nuclear matter. The density dependent couplings in the RMF and DHF approaches are introduced phenomenologically They are often determined by comparison with Dirac–Brueckner–Hartree– Fock (DBHF) calculations for nuclear matter [5] in limited range of densities. This contribution is aimed at mapping of the Fock exchange terms of the DHF approach for nuclear matter onto its Hartree parts. For simplicity we will treat the symmetric nuclear matter case and consider the exchange of isoscalar mesons only, together with π–meson While the former give the dominant contributions in both, the RMF and DHF approaches, the pionic field contributes only in exchange part of the DHF model. The generalization for asymmetric nuclear matter and full set of exchanged mesons can be made straightforwardly

Relativistic Hartree–Fock for nuclear matter

Effective couplings

Findings

Summary