Angular correlations have been measured near several isobaric analog resonances observed in the ${}_{}{}^{50}{}_{}{}^{}\mathrm{Ti}(p,p^{\prime }\gamma )$ reaction populating the ${}_{}{}^{50}{}_{}{}^{}\mathrm{Ti}$ $2^{+}$ state at 1.555 MeV. In this manner the limitations on the $J$ values of parent states in ${}_{}{}^{51}{}_{}{}^{}\mathrm{Ti}$ were obtained. Combining the present results with the $l$ values previously obtained from ${}_{}{}^{50}{}_{}{}^{}\mathrm{Ti}\mathrm{}(d,p)\mathrm{}$ gives the following $J^{\pi }$ values for the indicated parent states: 2.136 MeV, ${\frac{5}{2}}^{-}$ or ${\frac{7}{2}}^{-}$; 2.189 MeV, ${\frac{3}{2}}^{-}$; 2.896 MeV, ${\frac{1}{2}}^{-}$; 2.92 MeV, $\ge \frac{5}{2}$; and 3.164 MeV, ${\frac{3}{2}}^{-}$. The wave function of the 2.189-MeV state of ${}_{}{}^{51}{}_{}{}^{}\mathrm{Ti}$ is shown to have configurations other than the previously known $p_{\frac{3}{2}}$ neutron coupled to ${}_{}{}^{50}{}_{}{}^{}\mathrm{Ti}$ $2^{+}$ component.

• Received 19 July 1972

DOI:https://doi.org/10.1103/PhysRevC.6.2126