Effective group structure in the interacting boson model

Effective Group Structure in the Interacting Boson Model

Spectrum generating algebras are used in various fields of physics as models to determine quantum structure, including energy levels and transition strengths. The advantage of such models is that their group structure allows an extensive understanding of the system being studied. In addition they possess a simple classical limit, at least for bosonic systems. In this paper we discuss an algebra...

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 ...

Structure Functions in an Interacting Boson System*

3m (k) = dw d~S(k ,.,) for a system of Bosons of mass m at zero temperature and density n to the first approximation beyond the Bogoliubov (zeroth) approximation. The two-body interaction u is characterized by the s-wave scatteringlength and is taken to be a constant in k-space. The small dimensionless parameter g = 4irams 0, where s0 = (4iran) 1/2/m is the phonon speed in the zeroth approximat...

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...