Comparison of the Born and Glauber generalized oscillator strengths for the 2 s → 3 p transition of atomic hydrogen

Minima and maxima of the generalized oscillator strength for the $2s\ensuremath{\rightarrow}3p$ transition of atomic hydrogen are found using the Glauber approximation. In contrast to the first-Born approximation, the number of extrema and their positions are found to vary with the energy of the incident particle, and the values at the minima do not vanish. There is qualitative agreement in the behavior of the first minimum with known experimental data on the resonance transitions of rare gases and mercury. For large incident energy, the transition amplitude in the Glauber approximation falls off with large momentum transfer more rapidly than predicted by a previous calculation based on the second-Born approximation.