A total of 40 states of ${}_{}{}^{31}{}_{}{}^{}\mathrm{Si}$ in the region of excitation from about 5 to 9 MeV have been studied using the reaction ${}_{}{}^{30}{}_{}{}^{}\mathrm{Si}(d,p)$ at 10 MeV incident deuteron energy, and a biased quadrupole spectrometer. Fractionated single-particle states are identified via their forward-angle cross sections, using distorted-wave Born-approximation predictions with bound and resonance state form factors for the residual ${}_{}{}^{31}{}_{}{}^{}\mathrm{Si}$ system. Results are contrasted with what is known of the lower lying states, from large-basis shell-model calculations and earlier ($d,p$) experiments.

NUCLEAR REACTIONS ${}_{}{}^{30}{}_{}{}^{}\mathrm{Si}(d,p)$, $E_d=10\mathrm{}$ MeV, measured $\sigma \left(\theta \right)$. ${}_{}{}^{31}{}_{}{}^{}\mathrm{Si}$ deduced levels, $l$, $j$, $\pi$, spectroscopic factors. Enriched target.

• Received 18 July 1974

DOI:https://doi.org/10.1103/PhysRevC.10.1671