Coupled-channel analysis of elastic and inelastic alpha scattering onMg24in the energy range 28–120 MeV

The elastic and inelastic α scattering to states of the ground state and γ band in ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$ has been measured at 54 MeV. The data have been analyzed with the coupled-channel method based both on conventional Saxon-Woods type potentials and double-folding potentials. Coupled-channel calculations utilizing the results of this analysis give a good overall agreement with existing data in the energy range 28–120 MeV. The deduced isoscalar transition strengths compare very favorably with corresponding electromagnetic properties as well as with phenomenological interacting boson-model and microscopic shell-model calculations. The only serious discrepancy between isoscalar and electromagnetic properties, the $2_2^{+}$→$2_1^{+}$ transition strength, persists further on. The shell-model calculations have been carried out based upon the Wildenthal interaction. They account very well for both the energies and the dynamic properties of the ground state and γ band of ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$.