Abstract

The linear spectroscopic factors for nuclear spectra associated with simple configurations are investigated from two points of view, showing two ways in which effective interactions are treated in shell model theory. First the interactions are considered as theoretically unknown, and experimental spectra are used to determine features of the interaction. Also the many-body theory of effective interactions that connects the shell model of nuclear spectra back to the Schroedinger equation for nuclei with interaction nucleons is used for spectral relrtions. It is shown that this question can also be formulated in terms of effective manybody interactions, and the linear spectroscopic relations. (JFP)

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