Kinematic representation for elucidating small-angle electron scattering -art. no. 014703

An appropriate representation of the apparent generalized oscillator streng th (AGOS) permits the demonstration of its general properties. We show that only the zero-angle trajectory connects continuously the threshold energy E = omega and the high energy E = infinity corresponding to the optical osc illator strength limit of the rGOS. Far-reaching implications, including th e normalization of the measured differential cross sections and the identif ication of their spurious behavior, are discussed and demonstrated using tr ansitions in H, Li, and Ba.