High-Spin States of Configuration ${{\left(1\mathrm{}{d}_{\frac{5}{2}}\right)}_{5+,0}}^2$ and ${{\left(1\mathrm{}{g}_{\frac{9}{2}}\right)}_{9+,0}}^2$ Strongly Populated by the ($\alpha , d$) Reaction

The ($\alpha , d$) reactions on targets of ${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$, ${}_{}{}^{14}{}_{}{}^{}\mathrm{C}$, ${}_{}{}^{15}{}_{}{}^{}\mathrm{N}$, and ${}_{}{}^{20}{}_{}{}^{}\mathrm{Ne}$ were studied using $\alpha$-particle beams of 40.1, 46.0, 45.4, and 44.5 MeV, respectively. Angular distributions were obtained. States where the captured protonneutron pair is in the ${{\left(1\mathrm{}{d}_{\frac{5}{2}}\right)}_{5+,0}}^2$ configuration coupled to an unperturbed target core are located and possible spin assignments are suggested. These states are ${}_{}{}^{15}{}_{}{}^{}\mathrm{N}$, 13.03 MeV ($\frac{11}{2}-$), 11.95 MeV ($\frac{9}{2}-$); ${}_{}{}^{16}{}_{}{}^{}\mathrm{N}$, 5.75 MeV (5+); ${}_{}{}^{17}{}_{}{}^{}\mathrm{O}$, 7.74 MeV ($\frac{11}{2}-$), 9.14 MeV ($\frac{9}{2}-$); ${}_{}{}^{22}{}_{}{}^{}\mathrm{Na}$, 1.528 MeV (5+). Separated isotopes ${}_{}{}^{52}{}_{}{}^{}\mathrm{Cr}$, ${}_{}{}^{54,56}{}_{}{}^{}\mathrm{Fe}$, ${}_{}{}^{58,60,62}{}_{}{}^{}\mathrm{Ni}$, and ${}_{}{}^{64,66,68}{}_{}{}^{}\mathrm{Zn}$ were used as targets to study the ($\alpha , d$) reaction with a 50-MeV $\alpha$-particle beam. States with a probable configuration of ${{\left(1\mathrm{}{g}_{\frac{9}{2}}\right)}_{9+,0}}^2$ were located. These states are ${}_{}{}^{54}{}_{}{}^{}\mathrm{Mn}$, 9.47 MeV;