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)âsSU(1,1)Ã-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. © 2005 The American Physical Society.
Publication Source (Journal or Book title)
Physical Review C - Nuclear Physics
Ganev, H., Georgieva, A., & Draayer, J. (2005). Six-dimensional Davidson potential as a dynamical symmetry of the symplectic interacting vector boson model. Physical Review C - Nuclear Physics, 72 (1) https://doi.org/10.1103/PhysRevC.72.014314