Application of the Shell Model to Nuclear Spectroscopy
The intent in these lectures is to present a cursory overview of existing nuclear shell model technology, to give an indication of how well nuclear phenomena can be described by the nuclear shell model, and what are possible future directions of the field. The nuclear shell model has been with us for a long time, and it is a widely used model. It is also very popular in many circles to deride the model for its lack of elegance and sophistication. Thus, I believe it is appropriate to spend a minute at the beginning of these lectures to recall some of the reasons for our interest in the nucleus. The combination of features that make the nucleus unique are: 1) the microscopic dimensions of the nucleus are such that one must use quantum mechanics; 2) at the level we study, it is a manybody system with 1 ~ 300 particles; and 3) of the four “fundamental” interactions (weak, strong, electromagnetic, and gravitational), only the gravitational force is generally ignorable. Beta-decay, particle transfer reactions, and electromagnetic transitions are direct manifestations of the first three of these forces, respectively. The nucleus is the only known quantum-mechanical manybody system where one can conceive of treating the constituent coordinates microscopically. There now exist volumes of nuclear data on a vast array of nuclear observables.
KeywordsShell Model Shell Model Calculation Interact Boson Model Truncation Scheme Ground State Band
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