Extended multiconfigurational dynamical symmetry

TL;DR

The paper introduces EMUSY, an extended symmetry framework for multicluster nuclear systems that unifies various clusterization models and configurations, demonstrated with $^{24}$Mg.

Contribution

It extends the symplectic symmetry approach to include non-number-preserving transformations, linking different nuclear cluster models.

Findings

EMUSY unifies various cluster configurations in nuclear models.

The approach is illustrated with the $^{24}$Mg nuclear system.

It generalizes existing symmetries to include more transformations.

Abstract

An extended multiconfigurational dynamical symmetry (EMUSY) within the symplectic symmetry approach to clustering (SSAC) is proposed for the general case of multicluster nuclear systems. A characteristic property of the EMUSY is that it includes more general symplectic, i.e. number non-preserving, transformations which contain the standard number-preserving (unitary) multiconfigurational dynamical symmetry transformations as a special limiting case. In this way the EMUSY becomes able to connect various possible clusterizations of different multicluster type, as well as various many-particle configurations between the shell, collective and cluster models of nuclear structure. The theory is briefly illustrated using the nuclear system $^{24}$Mg as an example.