Pfeifer W. An Introduction to the Interacting Boson Model of the Atomic Nucleus

Publisher: vdf Hochschulverlag an der ETH Zurich, Switzerland, 1998, 181 pages, ISBN: 3-7281-2520-2The interacting boson model (IBM) is suitable for describing intermediate and heavy atomic nuclei. Adjusting a small number of parameters, it reproduces the majority of the low-lying states of such nuclei. Figure 0.1 gives a survey of nuclei which have been handled with the model variant IBM
2. Figures 10.7 and 14.3 show the nuclei for which IBM1-calculations have been performed.The IBM is based on the well-known shell model and on geometrical collective models of the atomic nucleus. Despite its relatively simple structure, it has proved to be a powerful tool. In addition, it is of considerable theoretical interest since it shows the dynamical symmetries of several nuclei, which are made visible using Lie algebras.Characteristics of the IBM
Many-body configurations
Many-boson states with undefined angular momentum
Operators and matrix elements
Applications of the creation and annihilation operators
The Hamilton operator of the IBM1
The angular momentum operator of the IBM1
The Hamiltonian expressed in terms of Casimir operators
The u(5)-or vibrational limit
Electromagnetic transitions in the u(5)-limit
The treatment of the complete Hamiltonian of the IBM1
Lie algebras
Group theoretical aspects of the IBM1
The proton-neutron interacting boson model IBM2
The interacting boson-fermion model IBFM