(d, p) and (d, t) Reactions on Magnesium Isotopes

Natural and enriched magnesium targets were bombarded with 14.8-Mev deuterons from the University of Pittsburgh cyclotron. The reaction products were magnetically analyzed and detected in a scintillation counter. Angular distributions from 10° to 60° (in some cases to 90°) were obtained for most of the following reactions: ${\mathrm{Mg}}^{24}(d, p)$ to the 0-, 1.61-, and 1.96-Mev levels of ${\mathrm{Mg}}^{25}$, ${\mathrm{Mg}}^{25}(d, t)$ to the 0-, 1.37-, 4.12-, 4.24-, 5.24-, 6.01-, 7.33-, and 7.60-Mev levels of ${\mathrm{Mg}}^{24}$, and ${\mathrm{Mg}}^{26}(d, t)$ to the 0-, 0.58-, 0.98-, 1.61-, 1.96-, 2.56-, 2.74-, 2.80-, 3.40-, and 3.90-Mev levels of ${\mathrm{Mg}}^{25}$. The level at 7.60 Mev in ${\mathrm{Mg}}^{24}$ has not been reported before. The observed angular distributions are compared to stripping theory, and $l$ values and absolute reduced widths are extracted. An anomaly in the angular distribution was found for the transitions between the ${\mathrm{Mg}}^{24}$ and ${\mathrm{Mg}}^{25}$ ground states and was studied as a function of incident deuteron energy. The reduced widths obtained are compared to the predictions of the rotational model, and, in general, good agreement is found; however, an admixture (of ≈15%) of higher rotational bands was found in the ${\mathrm{Mg}}^{26}$ ground-state wave function.