Alpha-Particle Model ofC12

The $\alpha$-particle model for ${\mathrm{C}}^{12}$ has been re-examined. In addition to correlating the $0^{+}$, $2^{+}$, and $0^{+}$ states at 0, 4.43, and 7.65 Mev, respectively, two possible identifications are given for the 9.61-Mev level: $1^{-}$ or $2^{+}$. These levels completely determine the model, and the position and character of all levels up to 15 Mev are given. The main defect of the model is its prediction of a $3^{-}$ state at 5.53 Mev which has never been observed. The separation of the $\alpha$ particles in ${\mathrm{C}}^{12}$ is 3.7×${10}^{-13\mathrm{}}$ cm and the mean zero-point kinetic energy per vibrational degree of freedom is about 2 Mev.