Study of the Second2+State inCa42,Ca44, andTi48

The third excited state of ${}_{}{}^{42}{}_{}{}^{}\mathrm{Ca}$ (at 2.42 MeV), the fourth excited state of ${}_{}{}^{44}{}_{}{}^{}\mathrm{Ca}$ (at 2.66 MeV), and the third excited state of ${}_{}{}^{48}{}_{}{}^{}\mathrm{Ti}$ (at 2.42 MeV) have been studied. The experimental method used to study these states was that of gamma-gamma angular correlations from aligned nuclei produced by nuclear reactions (method I of Litherland and Ferguson). Previous experiments suggested a spin assignment of $2^{+}$ for these states; our results confirm this assignment. The $\frac{E2\mathrm{}}{M1\mathrm{}}$ multipole mixing ratios for the $2_2^{}{}_{}{}^{+}$ → $2_1^{}{}_{}{}^{+}$ transitions are as follows: ${}_{}{}^{42}{}_{}{}^{}\mathrm{Ca} (\delta =+0.20\mathrm{}\pm 0.10)$, ${}_{}{}^{44}{}_{}{}^{}\mathrm{Ca} (\delta =+0.14\mathrm{}\pm 0.07)$, and ${}_{}{}^{48}{}_{}{}^{}\mathrm{Ti} (\delta =-0.18\mathrm{}\pm 0.09)$.