Abstract

The SD-pair shell model (SDPSM) is shown to reproduce approximately typical spectra, $E2$ transition strengths, and wave functions of the $U(5)$, $\mathrm{SO}(6)$, and $\mathrm{SU}(3)$ limits of the interacting boson model (IBM). Consequently, the analysis confirms that the IBM has a sound shell-model foundation; it also demonstrates that the truncation scheme adopted in the SDPSM is reasonable.

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