Abstract
Using the hyperspherical wave functions of the high-lying doubly excited $^{1}\mathrm{S}^{\mathrm{e}}$ states of He, we have calculated the generalized oscillator strengths between these excited states and the Born cross sections for electron-impact excitation of He in these excited states within the manifold of $^{1}\mathrm{S}^{\mathrm{e}}$ states. Based on the rovibrator model of the doubly excited state, we predict theoretically that for these excitation processes a He atom tends to enlarge its size while keeping its shape, as a limber ``e-${\mathrm{He}}^{2+}$-e'' linear molecule, the same as that in the initial states.
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