Extended multiconfigurational dynamical symmetry

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.