Self-consistent symmetries in the proton-neutron Hartree-Fock-Bogoliubov approach

TL;DR

This paper analyzes how various symmetries affect the densities and mean fields in nuclear Density Functional Theory with pairing, providing a comprehensive framework for understanding symmetry breaking and conservation.

Contribution

It systematically studies self-consistent symmetries in the proton-neutron Hartree-Fock-Bogoliubov approach, highlighting their implications for nuclear energy functionals.

Findings

Tabulated summaries of symmetry effects for practical use

Clarification of symmetry breaking consequences in nuclear models

Framework applicable to local density-dependent functionals

Abstract

Symmetry properties of densities and mean fields appearing in the nuclear Density Functional Theory with pairing are studied. We consider energy functionals that depend only on local densities and their derivatives. The most important self-consistent symmetries are discussed: spherical, axial, space-inversion, and mirror symmetries. In each case, the consequences of breaking or conserving the time-reversal and/or proton-neutron symmetries are discussed and summarized in a tabulated form, useful in practical applications.