Five isobaric-analog resonances in the ${}_{}{}^{50}{}_{}{}^{}\mathrm{Ti}(p,p^{\prime }\gamma )$ reaction at incident proton energies of 3.598, 3.614, 4.30, 4.38, and 4.58 MeV have been investigated through $p^{\prime }$ and $\gamma$-ray angular distributions and $p^{\prime }-\gamma$ coincidence angular correlations. Particle-spin amplitude mixing ratios for the 2.598-, 3.614-, 4.38-, and 4.58-MeV resonances have been determined as $\delta \left(\frac{p_{\frac{3}{2}}}{p_{\frac{1}{2}}}\right)$ equal to 0.40 ± 0.15, ${-3.6\mathrm{}}_{-1.6\mathrm{}}^{+1.0\mathrm{}}$, -0.1 ± 0.6, and 0.18 ± 0.16, respectively. The weak-coupling-model calculations of Divadeenam and Beres for ${}_{}{}^{51}{}_{}{}^{}\mathrm{Ti}$ are in good agreement with the mixing ratios determined for the 2${}_{}{}^{+}{}_{}{}^{}\mathrm{excited}$ ${}_{}{}^{50}{}_{}{}^{}\mathrm{Ti}$ core plus $p$-wave neutron. The spin-parities of the 4.30- and 4.38-MeV resonances have been established as ${\frac{5}{2}}^{-}$ and ${\frac{3}{2}}^{-}$.

[NUCLEAR REACTIONS ${}_{}{}^{50}{}_{}{}^{}\mathrm{Ti}(p,p^{\prime }\gamma )$, $E=3.5-4.8\mathrm{}$ MeV, IAR; measured ${\sigma }_{p^{\prime }1.55}(E,\theta )$, ${\sigma }_{\gamma (1.55\mathrm{}\to 0)}(E,\theta )$, ${\sigma }_{p^{\prime }-\gamma }(E,{\theta }_{\gamma })$; deduced $J$, $l_p$, $l_{p^{\prime }}$, ${\delta }_{p^{\prime }}$.]

• Received 14 June 1973

DOI:https://doi.org/10.1103/PhysRevC.8.2267