Parameter symmetry of the interacting boson model

SU(5) Symmetry of spdfg Interacting Boson Model

The extended interacting boson model with s-, p-, d-, f and g-bosons being included (spdfg IBM) are investigated. The algebraic structure including the generators, the Casimir operators of the groups at the SU(5) dynamical symmetry and the branching rules of the irreducible representation reductions along the group chain are obtained. The typical energy spectrum of the symmetry is given.

Quasidynamical symmetry in an interacting boson model phase transition.

The apparent persistence of symmetry in the face of strong symmetry-breaking interactions is examined in a many-boson model. The model exhibits a transition between two phases associated with U(5) and O(6) symmetries, respectively, as the value of a control parameter progresses from 0 to 1. The remarkable fact is that, in spite of strong mixing of the symmetries for intermediate values of the c...

The Interacting Boson Approximation Model and Applications

Global calculations with the interacting Boson model

The use of the interacting boson model is proposed for systematic calculations of nuclear properties for large regions of the nuclear chart, including exotic nuclei. In the simplest approach a constant hamiltonian is adopted for all nuclei and nuclear shape transitions are governed solely by total boson number or, equivalently, by total valence particle number. More sophisticated methods requir...

Symmetries in the Interacting Boson Model

We study the energy level statistics of the states in U(5) and O(6) dynamical symmetries of the interacting boson model and the high spin states with backbending in U(5) symmetry. In the calculations, the degeneracy resulting from the additional quantum number is eliminated manually. The calculated results indicate that the finite boson number N effect is prominent. When N has a value close to ...