THE SD-PAIR SHELL MODEL AND INTERACTING BOSON MODEL

The SD-pair shell model (SDPSM) is shown to reproduce approximately typical spectra, E2 transition strengths of the U(5), SO(6), SU(3) and SU(3) limits of the interacting boson model (IBM). The shape phase transitional patterns of the IBM can also be reproduced in the SDPSM. This analysis confirms that the IBM has a sound shell-model foundation; it also demonstrates that the truncation scheme adopted in the SDPSM is reasonable.