Sr86,88(d,He3)Rb85,87Reactions and a PossibleZ=38Magic Number

The ${}_{}{}^{86,88}{}_{}{}^{}\mathrm{Sr}(d,{}_{}{}^3{}_{}{}^{}\mathrm{He}){}_{}{}^{85,87}{}_{}{}^{}\mathrm{Rb}$ reactions were studied at a bombarding energy of 28 MeV and angular distributions were obtained for all observed states. Spectroscopic factors were extracted from distorted-wave Born-approximation calculations of the cross sections. These spectroscopic factors, and those from the ${}_{}{}^{86,88}{}_{}{}^{}\mathrm{Sr}({}_{}{}^3{}_{}{}^{}\mathrm{He},d){}_{}{}^{87,89}{}_{}{}^{}\mathrm{Y}$ reactions, were renormalized to satisfy sum-rule constraints. Some configuration mixing in the ground state of ${}_{}{}^{88}{}_{}{}^{}\mathrm{Sr}$ is inferred. The two $g_{\frac{9}{2}}$ neutron holes in ${}_{}{}^{86}{}_{}{}^{}\mathrm{Sr}$ produce very sizable rearrangements of the proton orbital populations in ${}_{}{}^{86}{}_{}{}^{}\mathrm{Sr}$.