Abstract
A formula, which is a useful improvement over existing ones, has been obtained to calculate the generalized oscillator strengths (GOS's) for the discrete transitions of both open-shell and closed-shell atoms. We illustrate our formula by calculating the GOS for the oxygen ${2p}^{4}{(}^{3}{P)\ensuremath{-}2p}^{3}{(}^{4}{S)3s(}^{3}S)$ transition and obtain overall good agreement with the experimental data. Our calculated GOS reveals a minimum at around the momentum transfer, $K=1.26\mathrm{a}.\mathrm{u}.$ We recommend a careful experimental search for the position of the minimum around the predicted value for confirmation.
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