Linking partial dynamical symmetry to nuclear energy density functionals

TL;DR

This paper links energy density functionals with partial dynamical symmetry in nuclei using mean-field methods and the interacting boson model, demonstrating consistency in a specific erbium isotope.

Contribution

It establishes a theoretical connection between universal EDFs and PDS in nuclear models through a microscopic derivation of IBM Hamiltonians.

Findings

IBM Hamiltonians derived from EDFs conform with SU(3)-PDS in $^{168}$Er

The approach bridges microscopic EDFs and algebraic nuclear models

Provides a new framework for understanding nuclear symmetries

Abstract

We use self-consistent mean-field methods in combination with the interacting boson model (IBM) of nuclei, to establish a linkage between universal energy density functionals (EDFs) and partial dynamical symmetry (PDS). An application to $^{168}$Er shows that IBM Hamiltonians derived microscopically from known nonrelativistic and relativistic EDFs in this region, conform with SU(3)-PDS.