High energy proton stripping byAl27andSi28nuclei: Ground state transitions

Angular distributions for the ${}_{}{}^{27}{}_{}{}^{}\mathrm{Al}(h, d_0){}_{}{}^{28}{}_{}{}^{}\mathrm{Si}$ and ${}_{}{}^{28}{}_{}{}^{}\mathrm{Si}(h, d_0){}_{}{}^{29}{}_{}{}^{}\mathrm{P}$ reactions have been measured at $E_h=130\mathrm{}$ MeV in the $9°\lesssim {\theta }_{\mathrm{c}.\mathrm{m}.\mathrm{}}\lesssim 40°$ angular range. The data have been analyzed in terms of the distorted-wave Born approximation theory. Finite-range and nonlocality effects are found to be significant and are necessary for a good description of the experimental data. The extracted spectroscopic strengths are $G\left(2\mathrm{}{s}_{\frac{1}{2}}\right)=0.89\mathrm{}\pm 0.18$ and $G\left(1\mathrm{}{d}_{\frac{5}{2}}\right)=0.22\mathrm{}\pm 0.04$ for the ${}_{}{}^{28}{}_{}{}^{}\mathrm{Si}(h, d_0){}_{}{}^{29}{}_{}{}^{}\mathrm{P}$ and ${}_{}{}^{27}{}_{}{}^{}\mathrm{Al}(h, d_0){}_{}{}^{28}{}_{}{}^{}\mathrm{Si}$ reactions, respectively. The former value agrees well with that predicted by a shell-model calculation performed in a full $1d_{\frac{5}{2}}-2\mathrm{}{s}_{\frac{1}{2}}-1\mathrm{}{d}_{\frac{3}{2}}$ basis space; the latter, however, is only about 40% of the predicted value.