Abstract
Generalized oscillator strengths for transitions from the ground state of the helium atom to the n 1S, n 1P, and n 1D states with n<7 are obtained from explicitly correlated wave functions. These results are used to calculate, within the first Born approximation (FBA), elastic and inelastic differential cross-sections for scattering of electrons with impact energies between 100 and 1500 eV. Detailed comparisons between FBA and measured cross-sections are presented. At small angles, the FBA is accurate over a large range of impact energies for the optically allowed transitions to the n 1P states. The FBA reaches a comparable level of accuracy for optically forbidden transitions only at higher impact energies. The FBA is significantly in error for elastic scattering in the forward direction even at 1500-eV impact energy.
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