Level Structure ofCa42byK41(He3,d)Ca42andK39(α,p)Ca42Reactions at 10 MeV

The level structure of ${}_{}{}^{42}{}_{}{}^{}\mathrm{Ca}$, below 6 MeV in excitation, has been studied by ${}_{}{}^{41}{}_{}{}^{}\mathrm{K}({}_{}{}^3{}_{}{}^{}\mathrm{He},d){}_{}{}^{42}{}_{}{}^{}\mathrm{Ca}$ and ${}_{}{}^{39}{}_{}{}^{}\mathrm{K}(\alpha ,p){}_{}{}^{42}{}_{}{}^{}\mathrm{Ca}$ reactions at 10-MeV bombarding energy. Particles detection was achieved with a surface-barrier detector telescope. Comparison of 12 measured (${}_{}{}^3{}_{}{}^{}\mathrm{He},d$) angular distributions with zero-range distorted-wave Born-approximation calculations indicated a predominance of $l=3\mathrm{}$ and $l=1\mathrm{}$ transfers, and gave information about states arising from the ($1f_{\frac{7}{2}}1d_{\frac{3}{2}}^{}{}_{}{}^{-1\mathrm{}}$) and ($2p_{\frac{3}{2}}1d_{\frac{3}{2}}^{}{}_{}{}^{-1\mathrm{}}$) configurations. Shell-model calculations have been performed to investigate the level scheme in ${}_{}{}^{42}{}_{}{}^{}\mathrm{Ca}$ arising from the ${\left(1\mathrm{}f_{\frac{7}{2}}^{}{}_{}{}^{3}1d_{\frac{3}{2}}^{}{}_{}{}^{-1\mathrm{}}\right)}_{\mathrm{JT}}$ configuration using four different sets of effective interaction parameters between the $1f_{\frac{7}{2}}$ particle and $1d_{\frac{3}{2}}$ hole. The resulting wave functions were used to calculate spectroscopic factors, which have been compared with the experimental ones. The measured ($\alpha ,p$) angular distributions analyzed with Hauser-Feshbach calculations indicated a predominance of compound-nucleus mechanism for this reaction. Good agreement has been found between the integrated experimental and theoretical cross section.