Study ofK42,Ca42andK46,Ca46by Pickup Reactions

The ${}_{}{}^{44,48}{}_{}{}^{}\mathrm{Ca}\mathrm{}(p,t)\mathrm{}{}_{}{}^{42,46}{}_{}{}^{}\mathrm{Ca}$ and ${}_{}{}^{43}{}_{}{}^{}\mathrm{Ca}\mathrm{}(p,d)\mathrm{}{}_{}{}^{42}{}_{}{}^{}\mathrm{Ca}$ reactions have been investigated at 40 MeV, and the ${}_{}{}^{44,48}{}_{}{}^{}\mathrm{Ca}(p,{}_{}{}^3{}_{}{}^{}\mathrm{He}){}_{}{}^{42,46}{}_{}{}^{}\mathrm{K}$ reactions at 40 and 56 MeV. Analysis of angular distributions leads to new spin assignments. Distorted-wave Born-approximation calculations are performed for ($p,d$) and ($p,t$) reactions. The nucleus ${}_{}{}^{42}{}_{}{}^{}\mathrm{Ca}$ being reached by both reactions, comparison is made between the results of calculations of the two processes. Potassium isotopes are studied through the comparison of analog states observed in the ($p,t$) reaction with the states reached in the ($p$, ${}_{}{}^3{}_{}{}^{}\mathrm{He}$) reaction. In the ($p$, ${}_{}{}^3{}_{}{}^{}\mathrm{He}$) spectra, the analogs of the ${}_{}{}^{42}{}_{}{}^{}\mathrm{Ar}$ and ${}_{}{}^{46}{}_{}{}^{}\mathrm{Ar}$ ground states have been identified.