Empirical Correlation of Nuclear Magnetic Moments

A simple generalization of the extreme shell model, based upon the kinematics of the collective model, is proposed for the correlation of nuclear magnetic moments. It is shown that, if the concept of a rotating core is adjoined to that of the single-particle model, largely in disregard of dynamical considerations, then by the aid of three simple empirical rules ground-state wave functions may be easily constructed which correctly express the parities, spins, and magnetic moments of all nuclei for which $A>~7$, with the exception of ${\mathrm{W}}^{183}$.