Electromagnetic multipole moments of ground states of stable odd-mass nuclei in thesdshell

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.