Shell-Model Calculations forNa22andNe22

Shell-model calculations have been performed for the nuclei ${}_{}{}^{22}{}_{}{}^{}\mathrm{Na}$ and ${}_{}{}^{22}{}_{}{}^{}\mathrm{Ne}$. The model space is made up of all Pauli-allowed combinations of six particles in the orbits $0d_{\frac{5}{2}}$, $1s_{\frac{1}{2}}$, and $0d_{\frac{3}{2}}$. An inert ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ core is assumed. The two-body interaction which is employed has been obtained by empirically modifying some of the matrix elements of Kuo's interaction in order to achieve an rms best fit between the observed energies of 72 levels in the $A=18\mathrm{}-22$ region and the corresponding shell-model eigenvalues. Single-particle energies are taken from the ${}_{}{}^{17}{}_{}{}^{}\mathrm{O}$ spectrum. Calculated results for excitation energies, electromagnetic transition strengths, and spectroscopic factors for single-nucleon transfer are presented and compared with existing data.