($d$, ${\mathrm{He}}^3$) Studies on ${\mathrm{Zr}}^{90}$, ${\mathrm{Y}}^{89}$, and ${\mathrm{Sr}}^{88}$

The ($d$, ${\mathrm{He}}^3$) reaction on ${\mathrm{Zr}}^{90}$, ${\mathrm{Y}}^{89}$, and ${\mathrm{Sr}}^{88}$ has been studied with 21-MeV deuterons from the University of Washington cyclotron. Angular distributions were obtained for transitions leading to the ground state and the 0.906-, 1.51-, and 1.75-MeV states of ${\mathrm{Y}}^{89}$, the ground state and the 1.84-, 3.21-, 3.48-, and 3.64-MeV states of ${\mathrm{Sr}}^{88}$, and to the ground state and the 0.403-, and 0.847-MeV states of ${\mathrm{Rb}}^{87}$ over the laboratory angular interval 15°-65°. The angular distributions were compared with predictions from a distorted-wave Born-approximation (DWBA) calculation, and spectroscopic factors were obtianed. The $l$ values of 1 and 3 were assigned to the transitions to the 3.48- and 3.64-MeV states of ${\mathrm{Sr}}^{88}$, respectively, for which the spins and parities were not previously known. On the basis of the DWBA analysis, large fractions of the ${\left(2\mathrm{}{p}_{\frac{3}{2}}\right)}^{-1\mathrm{}}$ and ${\left(1\mathrm{}{f}_{\frac{5}{2}}\right)}^{-1\mathrm{}}$ proton hole strengths are assigned to the first few excited states of ${\mathrm{Y}}^{89}$, ${\mathrm{Sr}}^{88}$, and ${\mathrm{Rb}}^{87}$, in qualitative agreement with simple shell-model predictions.