Isoscalar transition rates and an implicit double folding model using density-dependent forces

A generalization of the Satchler theorem, regarding the radial moments of single folded potentials to the case of a double-folding model is obtained. A proper accounting of the density-dependence of the nucleon-nucleon force is shown to remove the long standing disparity between the isoscalar transition rates deduced from alpha inelastic scattering to those obtained from electromagnetic transitions. The strong l dependence of the disparity is accounted for.