The 10 even-odd nuclei with an odd number of nucleons, $\xi =11\mathrm{}$:${}_{}{}^{19}{}_{}{}^{}\mathrm{O}$, ${}_{}{}^{21}{}_{}{}^{}\mathrm{Ne}$, ${}_{}{}^{21}{}_{}{}^{}\mathrm{Na}$, ${}_{}{}^{23}{}_{}{}^{}\mathrm{Na}$, ${}_{}{}^{23}{}_{}{}^{}\mathrm{Mg}$; and $\xi =13\mathrm{}$:${}_{}{}^{23}{}_{}{}^{}\mathrm{Ne}$, ${}_{}{}^{25}{}_{}{}^{}\mathrm{Mg}$, ${}_{}{}^{25}{}_{}{}^{}\mathrm{Al}$, ${}_{}{}^{27}{}_{}{}^{}\mathrm{Al}$, ${}_{}{}^{27}{}_{}{}^{}\mathrm{Si}$ have been studied in the framework of the Bohr-Mottelson and Nilsson models. Two different methods of calculation have been used for the energies and wave functions of positive- and negative-parity states. The ground-state static moments and $M1\mathrm{}-E2\mathrm{}$ transition rates have been computed. A minimum number of phenomenological parameters have been used. It has been confirmed that these nuclei (except ${}_{}{}^{19}{}_{}{}^{}\mathrm{O}$) show an equilibrium prolate deformation and can be well accounted for by the model, especially as concerns the positive-parity particle states. Difficulties arise for most of the hole states and negative-parity particle states. Parameters are found to be in the same range for all nuclei. General conclusions on the validity of the model have been discussed in the lower part of the $2s-1d$ shell.

• Received 24 October 1972

DOI:https://doi.org/10.1103/PhysRevC.8.1728