Ge69andGe71using theGe70(d→,t)andGe70(d→,p)reactions

Differential cross sections and vector analyzing powers were measured at an incident deuteron energy of 16 MeV for the ${}_{}{}^{70}{}_{}{}^{}\mathrm{Ge}(d,t){}_{}{}^{69}{}_{}{}^{}\mathrm{Ge}$ reaction and at 12 MeV for the ${}_{}{}^{70}{}_{}{}^{}\mathrm{Ge}(d,p){}_{}{}^{71}{}_{}{}^{}\mathrm{Ge}$ reaction. The data are generally well reproduced by the distorted-wave Born approximation except for the forward-angle analyzing-power data for $d,t$ transitions to ${1/2}^{-}$ states in ${}_{}{}^{69}{}_{}{}^{}\mathrm{Ge}$. Several spin assignments in ${}_{}{}^{69}{}_{}{}^{}\mathrm{Ge}$ are made from the vector analyzing power of the $\mathrm{Ge}(\overrightarrow{d},t)$ reaction. A high-resolution study of the ${}_{}{}^{70}{}_{}{}^{}\mathrm{Ge}(d,p){}_{}{}^{71}{}_{}{}^{}\mathrm{Ge}$ reaction identified over 50 ${}_{}{}^{71}{}_{}{}^{}\mathrm{Ge}$ levels as well as a number of additional states corresponding to contaminants in the target. Assignments of $l_n$ were made to 44 levels in ${}_{}{}^{71}{}_{}{}^{}\mathrm{Ge}$. On the basis of analyzing-power measurements at 16° and 20°, values of $J^{\pi }$ could be assigned to 29 levels, of which 15 are new assignments. A number of tentative $J^{\pi }$ assignments are also made. Some of the results of the present work are relevant to the weak-coupling interpretation of ${}_{}{}^{69,71}{}_{}{}^{}\mathrm{Ge}$ by Eberth et al. Some $l=0\mathrm{} \mathrm{and} 2$ transitions were observed in ${}_{}{}^{70}{}_{}{}^{}\mathrm{Ge}(d,t)$ but the $l_n=0\mathrm{}$ cross-section data are not well fitted by the distorted-wave Born approximation. A sum-rule analysis was made and results are compared with previous work and with the predictions of the simple pairing theory.