Inelasticα-particle scattering at intermediate energy

The rigid body approximation is used to extend the Glauber formalism to the analysis of inelastic scattering of 1.37 GeV $\alpha$ particles by ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$ and ${}_{}{}^{58}{}_{}{}^{}\mathrm{Ni}$. Angular distributions for low-lying states in ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$ and ${}_{}{}^{58}{}_{}{}^{}\mathrm{Ni}$ are analyzed in this framework together with previously published data for Ca isotopes. Intermediate energy $\alpha$ particle scattering is tested as a tool to observe the isoscalar giant quadrupole resonance. Energy weighted sum rules are drawn from the analysis of $L=2\mathrm{}$ angular distributions measured in the proper energy range. Comparison is made with existing data.