Six-dimensional Davidson potential as a dynamical symmetry of the symplectic Interacting Vector Boson Model

Details Six-dimensional Davidson potential as a dynamical symmetry of the symplectic Interacting Vector Boson Model Six-dimensional Davidson potential as a dynamical symmetry of the symplectic Interacting Vector Boson Model

2005-05-25

arxiv.org/abs/nucl-th/0505065v1

Phys.Rev. C72 (2005) 014314

Physics

Nuclear Physics

Nuclear Theory

9 pages, 4 figures

Scientific paper

10.1103/PhysRevC.72.014314

A six-dimensional Davidson potential, introduced within the framework of the Interacting Vector Boson Model (IVBM), is used to describe nuclei that exhibit transitional spectra between the purely rotational and vibrational limits of the theory. The results are shown to relate to a new dynamical symmetry that starts with the $Sp(12,R) \supset SU(1,1) \times SO(6)$ reduction. Exact solutions for the eigenstates of the model Hamiltonian in the basis defined by a convenient subgroup chain of SO(6) are obtained. A comparison of the theoretical results with experimental data for heavy nuclei with transitional spectra illustrates the applicability of the theory.

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