The states of ${\mathrm{Si}}^{29}$ at 1.28-, 2.03-, 2.43-, 3.07-, 3.62-, and 4.08-MeV have been studied using the particle-$\gamma$ angular-correlation method of Litherland and Ferguson. The ${\mathrm{Si}}^{28}(d, p){\mathrm{Si}}^{29}$ reaction was used to populate the levels of ${\mathrm{Si}}^{29}$ at several bombarding energies in the neighborhood of 3 MeV. Charged particles were detected near 180° with respect to the incident-beam direction in a solid-state annular counter, and $\gamma$ radiation was detected in a 10.2×10.2 cm NaI(Tl) crystal at angles between 0° and 90° relative to the incident-beam direction. The $p-\gamma$ coincident data were stored in a 2-parameter pulse-height analyzer. $\gamma$-ray branching ratios derived from these data are presented for the levels mentioned above. In addition to an independent confirmation of the spin assignments $\frac{3}{2}$, $\frac{5}{2}$, and $\frac{3}{2}$ for the ${\mathrm{Si}}^{29}$ levels at 1.28-, 2.03-, and 2.43-MeV, respectively, an assignment $J=\frac{7}{2}$ for the 3.62-MeV level and a most probable assignment $J=\frac{5}{2}$ for the 3.07-MeV level are established. For the 4.08-MeV level, $J\ge \frac{3}{2}$. Some $\gamma$-ray mixing ratios are also presented, and an upper limit for the mean lifetime, ${\tau }_m\le {90}^{-8\mathrm{}}$ sec, was obtained for all the levels studied.

• Received 5 January 1967

DOI:https://doi.org/10.1103/PhysRev.157.967