SU(3)_f Constraints on Hypernuclear Energy Density Functionals

TL;DR

This paper develops a covariant hypernuclear energy density functional based on SU(3) symmetry, deriving coupling constants and mean-fields for hyperons in asymmetric nuclear matter, including effects of three-body interactions and particle mixing.

Contribution

It introduces a new covariant hypernuclear EDF derived from SU(3) symmetry, with explicit coupling constants and mean-field calculations for hyperons in asymmetric nuclear matter.

Findings

Derived SU(3) coupling constants as functions of baryon density.

Constructed scalar and vector hyperon mean-fields in asymmetric matter.

Addressed b1-a^0 mixing effects in nuclear matter.

Abstract

A covariant hyper-nuclear energy density functional (EDF) is derived from in medium nucleon meson vertex functionals, assuring the proper description of nuclear mean-field dynamics. The fundamental SU(3) coupling constants for the mean-field relevant vector (m=V) and scalar (m=S) interactions as functionals of the total baryon density are determined. Scalar and vector potentials and the resulting hyperon mean-fields in asymmetric nuclear matter are constructed and discussed, addressing also effects from three-body interactions. \Lambda- \Sigma^0 mixing in asymmetric nuclear through the coupling to the background isovector mean-field is addressed.