The Born approximation is used to calculate the generalized oscillator strengths in the first ionized continuum of helium. The wave functions of the helium atom are approximated by products of one-electron orbitals. Results are presented for several different ground-state wave functions, including the simple Hylleraas function and the four-term self-consistent-field function of Roothaan. The final-state wave function of helium is represented in all cases by products of hydrogenlike orbitals. With the Roothaan ground-state wave function, reasonable agreement is obtained with the available experimental data.
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William J. B. Oldham (1969) studied this question.
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