Using a model based on tetrahedral symmetry a $J^{\pi }=3^{-}$ level is predicted to exist at 9.90 ± 0.07 MeV in the nucleus ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$. The new level is expected to be quite narrow with $\Gamma \sim 1$ keV and, because of its near degeneracy with a well known $2^{+}$ level, has presumably escaped detection. A brief discussion of the model predictions and the available experimental evidence for such a level is given. A more definitive experiment is suggested.

NUCLEAR STRUCTURE ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$; calculated levels $E$, $J$, $\pi$. Doublet predicted at 9.85-MeV excitation.

• Received 8 September 1981

DOI:https://doi.org/10.1103/PhysRevC.25.1108