Shell-model wave functions for $A=17-39\mathrm{}$ nuclei are used to calculate the one-body densities upon which are based the $M1\mathrm{}$, $E2\mathrm{}$, $M3\mathrm{}$, $E4\mathrm{}$, and $M5\mathrm{}$ moments of stable ground states with $J^{\pi }=\frac{3}{2^{+}} \mathrm{and} \frac{5}{2^{+}}$, Values of the moments are obtained by combining these densities with single-particle matrix elements calculated with both free space and renormalized expressions for the electromagnetic operators. These results extend previous calculations for the $M1\mathrm{}$ and $E2\mathrm{}$ moments. The theoretical values are analyzed in terms of deviations from the predictions of the pure-configuration shell model and compared with available experimental data. While several of these data are well described with the present theory, a few other experimental values differ significantly from the corresponding predicted values.

NUCLEAR STRUCTURE ${}_{}{}^{17}{}_{}{}^{}\mathrm{O}$, ${}_{}{}^{21}{}_{}{}^{}\mathrm{Ne}$, ${}_{}{}^{23}{}_{}{}^{}\mathrm{Na}$, ${}_{}{}^{25}{}_{}{}^{}\mathrm{Mg}$, ${}_{}{}^{27}{}_{}{}^{}\mathrm{Al}$, ${}_{}{}^{33}{}_{}{}^{}\mathrm{S}$, ${}_{}{}^{35}{}_{}{}^{}\mathrm{Cl}$, ${}_{}{}^{37}{}_{}{}^{}\mathrm{Cd}$, ${}_{}{}^{39}{}_{}{}^{}\mathrm{K}$; calculations for the $M1\mathrm{}$, $E2\mathrm{}$, $M3\mathrm{}$, $E4\mathrm{}$, and $M5\mathrm{}$ moments of ground states; complete $0d_{\frac{5}{2}}-1\mathrm{}{s}_{\frac{1}{2}}-0\mathrm{}{d}_{\frac{3}{2}}$ shell-model wave functions; Chung-Wildenthal Hamiltonians.

• Received 23 January 1980

DOI:https://doi.org/10.1103/PhysRevC.22.774