The two intrinsic Hartree-Fock (HF) states, one characterized by isospin $T=T_z=\frac{1}{2}\mathrm{}(N-Z)\mathrm{}$ and the other containing an admixture of $T=T_z$ and $T=T_z+1\mathrm{}$, lie energetically very close in the case of light $\mathrm{odd}-Z-\mathrm{odd}-N$ nuclei. As a result, the low-lying $T=T_z$ states of these nuclei have substantial "band mixing." The HF projection formalism is employed to investigate the effect of band mixing on the properties of nuclear states in ${}_{}{}^{18}{}_{}{}^{}\mathrm{F}$ by explicitly treating all the nucleons. The results of our calculations are in fair agreement with the experimental data.

• Received 17 March 1971

DOI:https://doi.org/10.1103/PhysRevC.4.1073