Inelastic Scattering of 14.4-MeV Protons by the Even Isotopes of Titanium

Elastic and inelastic scattering of 14.4-MeV protons from isotopically enriched targets of ${}_{}{}^{46,48,50}{}_{}{}^{}\mathrm{Ti}$ were studied. Angular distributions for many groups separated by more than 40 keV were obtained. The data were analyzed using the coupled-channel calculation. The vibrational collective model was used to describe the states of the bombarded nucleus. Several octupole states were found in both ${}_{}{}^{46}{}_{}{}^{}\mathrm{Ti}$ and ${}_{}{}^{48}{}_{}{}^{}\mathrm{Ti}$ but only one in ${}_{}{}^{50}{}_{}{}^{}\mathrm{Ti}$. These results were compared with the results of $\alpha$-particle scattering on the same nuclei. It was found that a discrepancy exists between the results of the experiments in the magnitudes of the deformabilities obtained for the octupole states. Spins and parities of some states in ${}_{}{}^{48}{}_{}{}^{}\mathrm{Ti}$ and ${}_{}{}^{50}{}_{}{}^{}\mathrm{Ti}$ were suggested. Electromagnetic transition rates were inferred from the deformabilities deduced from inelastic scattering data.