SU(3) Approach to Hypernuclear Interactions and Spectroscopy

TL;DR

This paper develops an $SU(3)$ meson exchange framework integrated with density functional theory to describe hypernuclear interactions, enabling ab initio calculations relevant for hypermatter and neutron star matter.

Contribution

It introduces a novel $SU(3)$-based method to derive in-medium hypernuclear interactions from baryon-baryon vertices, bridging meson exchange models with density functional theory.

Findings

Derived density-dependent hypernuclear interactions.

Applied framework to infinite hypermatter and neutron star matter.

Proposed a method to determine in-medium coupling constants from $NN$-vertex functionals.

Abstract

The $SU(3)$ meson exchange approach to interactions within the baryon octet and nuclear density functional theory are used to derive an \emph{ab initio} description of hypernuclear interactions. The density dependence of interactions is recast into a DFT with density dependent interaction vertices. The field-theoretical structure is retained by expressing the vertices as functionals of the matter field operators. Applications to infinite hypermatter and neutron star matter are discussed. A new approach is presented allowing to determine in-medium coupling constants out of the $NN$-vertex functionals, obtained e.g. by DBHF theory, for the full baryon octet by exploiting $SU(3)$ relations.