SU(3)f constraints on hypernuclear energy density functionals

Abstract

A covariant hypernuclear 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 ρB are determined. Scalar and vector potentials and the resulting hyperon mean–fields in asymmetric nuclear matter are constructed and discussed, addressing also effects from 3–body interactions. Λ–Σ0 mixing in asymmetric nuclear through the coupling to the background isovector mean–field is addressed.