Abstract
A projection-operator technique is used to investigate the resonance states of two-electron systems in the inelastic scattering energy region. Computations are carried out for the $P$ autoionization states for He and the ${\mathrm{H}}^{\ensuremath{-}}$ ion in the $n=2$ to $n=3$ energy region. The results are compared with previous calculations and experiments. For the $^{1}P$ resonance of He, very good agreement is obtained as compared with the accurate measurement of Madden and Codling.
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