Distorted-wave Born approximation and coupled channel analyses of low-energy polarized proton scattering onMg24

Distorted-wave Born-approximation and coupled channel analyses of differential cross sections and analyzing powers have been performed for inelastic polarized proton-scattering data measured at an incident proton energy of 20.3 MeV. Collective and microscopic models have been used to describe the low-lying states of ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$. The results obtained for the cross sections and analyzing powers with the rotational model description are in reasonably good agreement with the data. The distorted-wave Born-approximation analysis using shell-model wave functions gives satisfactory fits to the shape of the cross sections for some levels but very serious disagreements for the analyzing powers of almost all states, suggesting the need to include higher-order effects.