Study of the (d,p) Reaction onSi28,S32, andAr36atEd=18.00MeV

The reactions ${}_{}{}^{28}{}_{}{}^{}\mathrm{Si}\mathrm{}(d,p)\mathrm{}{}_{}{}^{29}{}_{}{}^{}\mathrm{Si}$, ${}_{}{}^{32}{}_{}{}^{}\mathrm{S}\mathrm{}(d,p)\mathrm{}{}_{}{}^{33}{}_{}{}^{}\mathrm{S}$, and ${}_{}{}^{36}{}_{}{}^{}\mathrm{Ar}\mathrm{}(d,p)\mathrm{}{}_{}{}^{37}{}_{}{}^{}\mathrm{Ar}$ were studied at an incident deuteron energy of 18.00 MeV. Some ${}_{}{}^{28}{}_{}{}^{}\mathrm{Si}\mathrm{}(d,p)\mathrm{}{}_{}{}^{29}{}_{}{}^{}\mathrm{Si}$ data were also obtained at an incident deuteron energy of 21.00 MeV. Angular distributions were obtained for proton groups leading to states in the residual nuclei ${}_{}{}^{29}{}_{}{}^{}\mathrm{Si}$, ${}_{}{}^{33}{}_{}{}^{}\mathrm{S}$, and ${}_{}{}^{37}{}_{}{}^{}\mathrm{Ar}$ with excitation energies up to approximately 8 MeV. With the use of distorted-wave Born-approximation (DWBA) analyses, spectroscopic factors were obtained for all ($d,p$) transitions which displayed direct-reaction characteristics. $J$ dependence was observed in $l=2\mathrm{} \mathrm{}\left(1d\right)\mathrm{}$ and $l=1\mathrm{} \mathrm{}\left(2p\right)\mathrm{} \mathrm{}(d,p)\mathrm{}$ transitions for $E_d=18.00\mathrm{}$ MeV. The spectroscopic factors obtained in this experimental study are compared with the predictions of current theoretical models which treat nuclei in the upper $s-d$ shell.