Spins of Levels inP33

The method-II angular-correlation technique of Litherland and Ferguson has been applied to the reaction ${}_{}{}^{30}{}_{}{}^{}\mathrm{Si}(\alpha , p\gamma ){}_{}{}^{33}{}_{}{}^{}\mathrm{P}$ to determine $J^{\pi }$ for the following levels in ${}_{}{}^{33}{}_{}{}^{}\mathrm{P}$: ${\frac{3}{2}}^{+}$ MeV), ${\frac{5}{2}}^{+}$ MeV), and ${\frac{3}{2}}^{+}$ MeV). Mixing and branching ratios for the $\gamma$ decays of these states have also been obtained. The $\gamma$-ray spectrum has been examined with a Ge(Li) detector to determine the following excitation energies for these states: 1.435±0.003, 1.850±0.003, and 2.544±0.004 MeV.