Based on a generalized reduction scheme for boson representations of symplectic algebras of the type Sp(4k,R), we consider the symplectic extension of a boson realization of compact unitary algebras for the k 1, k 3 and k 6 cases, which have relevance in nuclear structure theory. First we review an application of the k 1 case for the creation of a Sp(4, R) classification scheme, which is used for obtaining a generalized phenomenological description of important nuclear characteristics in terms of the classification quantum numbers for large sets of nuclei. Then for the k 3 and k 6 cases we outline some of the new possibilities that appear in the symplectic extensions of the Interacting Vector Boson Model (IVBM) and the Interacting Boson Model (IBM-2), respectively. The examples presented are used to describe the collective modes of the nuclear spectra in individual nuclei as well as in sequences of nuclei. © Published under licence by IOP Publishing Ltd.
Publication Source (Journal or Book title)
Journal of Physics: Conference Series
Georgieva, A., Ganev, H., Ivanov, M., Garistov, V., & Draayer, J. (2011). Symplectic dynamical symmetries in algebraic models of nuclear structure. Journal of Physics: Conference Series, 284 (1) https://doi.org/10.1088/1742-6596/284/1/012028