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Using the GXPF1A interaction for the pf shell nuclei, we calculate energy levels and E2 transition rates for the semimagic nuclei ^43-46Ca within both the exact shell-model space and a number of subspaces constructed using collective nucleon pairs. We present explicitly the overlaps between wave functions of low-lying states obtained from shell-model calculations and those obtained using truncated nucleon-pair subspaces. These examples are used as touchstones of pair approximations.
Lei et al. (Tue,) studied this question.
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