An Introduction to the Interacting Boson Model of the Atomic Nucleus, Part I

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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106 pages, 18 line figures, pdf

Scientific paper

This work introduces into the Interacting Boson Model, which was created in 1974 by F. Iachello and A. Arima and then extended by numerous papers. Many-body configurations with s- and d-boson states are described and creation- and annihilation-operators for bosons are introduced. States with defined total angular momentum are dealt with and the Hamilton operator of the IBM1-model is expressed in terms of Casimir operators. Level energies and electromagnetic transition probabilities are compared with measured data. A short introduction to Lie algebras and their application to the IBM1-model are given. In the IBM2- model protons and neutrons are treated separately and in IBFM single nucleons are added to the boson model. Comparison with experimental results.

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