Transition probabilities in the U(6) limit of the Symplectic Interacting Vector Boson Model

Abstract

The tensor properties of the algebra generators and the basis are determined in respect to the reduction chain $Sp(12,R)\supset U(6)$, which defines one of the dynamical symmetries of the Interacting Vector Boson Model. The action of the Sp(12,R) generators as transition operators between the basis states is presented. Analytical expressions for their matrix elements in the symmetry-adapted basis are obtained. As an example the matrix elements of the E2 transition operator between collective states of the ground band are determined and compared with the experimental data for the corresponding intraband transition probabilities of nuclei in the actinide and rare earth region. On the basis of this application the important role of the symplectic extension of the model is analyzed.

arXiv comment11 pages, 5 figures and 2 tables

References in corpus (7)

• Description of the Ground and Octupole Bands in the Symplectic Extension of the Interacting Vector Boson Model
• Structural evolution in Pt isotopes with the Interacting Boson Model Hamiltonian derived from the Gogny Energy Density Functional
• Phase diagram for a Cubic Consistent-Q Interacting Boson Model Hamiltonian: signs of triaxiality
• Quadrupole Collective Dynamics from Energy Density Functionals: Collective Hamiltonian and the Interacting Boson Model
• Matrix Elements of SU(6) Generators for Baryons at Arbitrary $N_c$
• High-spin states in boson models with applications to actinide nuclei
• Phase Structure of the Interacting Vector Boson Model

Cited by in corpus (4)

• New Description of the Doublet Bands in Doubly Odd Nuclei
• Structure of the doublet bands in doubly odd nuclei: The case of ${}^{128}Cs$
• Collective states of the odd-mass nuclei within the framework of the Interacting Vector Boson Model
• Simultaneous description of low-lying positive and negative parity bands in heavy even-even nuclei