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The Glauber scattering amplitudes for arbitrary transitions of the hydrogen atom by proton (or electron) impact have been obtained in a closed form. The inelastic cross sections between highly excited states of the hydrogen atom by electron impact are calculated and compared with the Born cross sections. At energies below a few eV, the Glauber cross sections are smaller than the Born cross sections by an order-of-magnitude
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Nobuyuki Toshima (1977) studied this question.
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