Magnetic Moments of Odd-Odd Nuclei and the Strong Spin-Orbit Coupling Shell Model

Abstract

Using the extreme $\mathrm{jj}$ coupling model and employing semi-empirical $g$ factors, magnetic moments are computed for those odd-odd nuclei for which $I$ and $\mu$ measurements exist (Table I). The results are suggestive as to relevant coupling properties of such nuclei, but as yet not sufficient for definite conclusions. As an aid to possible future work, this note includes a tabulation (Table II) of computed magnetic moments for some odd-odd nuclei for which tentative spin assignments are possible, employing both free nucleon and semi-empirical $g$ factors and based on pure $\mathrm{LS}$ and $\mathrm{jj}$ two-nucleon states.