Electromagnetic multipole moments of ground states of stable odd-mass nuclei in the sd shell

Shell-model wave functions for A=17-39 nuclei are used to calculate the one-body densities upon which are based the $M1$, $E2$, $M3$, $E4$, and $M5$ moments of stable ground states with J^π=32⁺ and 52⁺, 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 $M1$ and $E2$ 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 ¹⁷O, ²¹Ne, ²³Na, ²⁵Mg, ²⁷Al, ³³S, ³⁵Cl, ³⁷Cd, ³⁹K; calculations for the $M1$, $E2$, $M3$, $E4$, and $M5$ moments of ground states; complete 0d5/2-1s1/2-0d3/2 shell-model wave functions; Chung-Wildenthal Hamiltonians.