Partial dynamical symmetry from energy density functionals

TL;DR

This paper demonstrates that partial dynamical symmetry in nuclei can be derived from energy density functionals, showing consistent spectroscopic features across different models and applying the theory to the nucleus 168Er.

Contribution

It establishes a microscopic foundation for partial dynamical symmetry within the energy density functional framework, unifying nonrelativistic and relativistic approaches.

Findings

The derived boson Hamiltonian exhibits spectroscopic properties consistent with partial SU(3) symmetry.

The approach is validated in both nonrelativistic and relativistic energy density functionals.

Application to 168Er confirms the theoretical predictions.

Abstract

We show that the notion of partial dynamical symmetry is robust and founded on a microscopic many-body theory of nuclei. Based on the universal energy density functional framework, a general quantal boson Hamiltonian is derived and shown to have essentially the same spectroscopic character as that predicted by the partial SU(3) symmetry. The principal conclusion holds in two representative classes of energy density functionals: nonrelativistic and relativistic. The analysis is illustrated in application to the axially-deformed nucleus $^{168}$Er.