Coupling of Angular Momenta in Odd-Odd Nuclei

The coupling of the angular momenta of individual particle states in odd-odd nuclei is shown to be generally describable as spin-spin coupling if the asymptotic-quantum-number description of particle states is used for deformed nuclei. Coupling rules for these nuclei are given, and all available data are treated by them. The results are compared with results based upon a j-j coupling model for a spherical nucleus. A formula based upon the present coupling description is given for calculating magnetic moments of deformed nuclei, and magnetic moments calculated by it are compared to the experimental moments and to those calculated assuming the gyromagnetic ratios of the odd nucleons are those given by the Schmidt formulas. A qualitative theoretical discussion of the basic validity of the coupling rules is given.