The shell model, despite a somewhat checkered career, has emerged as a useful approximation to the many-particle description of the atomic nucleus (E57b, S63). In principle it is perhaps the closest of all nuclear models to being unified, i.e., to describing all properties of all states of all nuclei. Unfortunately, even with the restriction to a shell structure, the number of possible states is often very large and there are few nuclei whose properties can be described without a prohibitive amount of computational labor. Thus several submodels of the shell model have been constructed to reduce the number of states and hence also the computational difficulty. These submodels describe more of the physical structure of states in terms of well-defined quantum numbers. It is as a submodel of the shell model that we can classify the “SU 3 model.”


Shell Model Orbital Angular Momentum Young Tableau Oscillator Quantum Intrinsic State 
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© Plenum Press 1968

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  • M. Harvey

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