Microscopic models of the 2₁⁺ and 3₁⁺ states in ²⁴Mg and ²⁸Si and their test by inelastic scattering analyses

Inelastic proton scattering analyses have been used to test the details of the structure of low-lying collective states in ²⁴Mg and ²⁸Si. In particular, a simple SU(3) prescription is compared with the results of j-j coupled shell-model calculations in analyses of the excitations of the 2₁⁺ and 3₁⁺ states. The simplicity of the SU(3) scheme and its successful use in select reaction analyses portends well for the use of more intricate SU(3) model spectroscopy in reaction data analyses and in particular in cases for which conventional shell-model structures suffer from severe truncation of bases.