Magnetic Moments of Conjugate Nuclei

Many experimentally-observed magnetic moments of conjugate (semi-mirror) nuclei deviate approximately the same amount from the Schmidt limits. It is shown that the theoretical magnetic moments provided by a simple form of the collective model are such that the difference between the deviations of a pair of conjugate nuclei is small. Those experimentally-observed exceptions to this rule where the difference between the deviations is quite large (such as ${\mathrm{I}}^{127}$-${\mathrm{Mo}}^{97}$) can be explained by modifications of the collective model to include the effects of (a) shell model structure and (b) configuration admixing. In fact, the relative importance of the various dynamical features of the nucleus can be assessed, qualitatively at least, from the size and sign of the magnetic moment deviation difference of a pair of conjugate nuclei.