Abstract
The interacting boson-fermion model (IBFM) Hamiltonian is derived microscopically based on the generalized seniority scheme starting from the shell-model interaction. Employing many nondegenerate levels and identical nucleon systems, systematic studies of singly magic nuclei are given in comparison with experiments. The resulting energy spectra in the IBFM are found to be in good agreement with those of the shell model and the $\mathrm{SD}$ pair plus one-particle model.
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