Si28(d, He3)Al27Reaction and the Structure ofSi28andAl27

The level structure of ${}_{}{}^{27}{}_{}{}^{}\mathrm{Al}$ from 0- to 6.5-MeV excitation has been studied with the ${}_{}{}^{28}{}_{}{}^{}\mathrm{Si}(d, {}_{}{}^3{}_{}{}^{}\mathrm{He}){}_{}{}^{27}{}_{}{}^{}\mathrm{Al}$ reaction at $E_d=34.4\mathrm{}$ MeV. Eight experimental angular distributions are presented. Assignments of $l$ values and spectroscopic factors are made with a local, zero-range distorted-wave Born-approximation analysis. The deduced $l$ values are consistent with the known spins of levels of ${}_{}{}^{27}{}_{}{}^{}\mathrm{Al}$ of excitation energy ≤3.0 MeV. Levels at 4.05- and 5.15-MeV excitation are assigned $l=1\mathrm{}$, and the level at 4.40-MeV excitation is assigned $l=2\mathrm{}$. The extracted spectroscopic factors are discussed in terms of some simple models for ${}_{}{}^{27}{}_{}{}^{}\mathrm{Al}$ and compared with results from new shell-model calculations.