Intermediate energy elastic scattering of protons on 24Mg in the $ \alpha$ -cluster model with dispersion

Abstract

The $ \alpha$ -cluster model with dispersion has been developed for the case of the 24Mg nucleus. The 24Mg nucleus is considered as composed of the core ( 16O nucleus) and two $ \alpha$ -clusters that form a dumbbell configuration and are arranged with the most probability inside the core. In the calculations the $ \alpha$ -cluster structure of the core has been taken into account. On the basis of the multiple diffraction scattering theory the differential cross-section and the polarization observables for the elastic p - 24Mg scattering at 800 and 250MeV have been calculated. The results obtained are in agreement with the existing experimental data.