Inelastic scattering of electrons by helium

Abstract

Bethe-Goldstone continuum equations for the scattering of electrons from helium are solved variationally in the energy range between the n=2 and n=3 thresholds. Polarization and correlation effects are included in the calculations by allowing for virtual excitation of the 2s electron. Shape resonances are found above the 2S3 threshold, in substantial agreement with close-coupling calculations of Burke, Cooper, and Ormonde. Structures observed immediately below the 3S3 threshold in experimental cross sections for metastable formation are attributed to several Feshbach resonances whose energies and widths are computed. Cross sections are presented for elastic and inelastic scattering involving the ground state and n=2 states of helium. Cusp behavior, expected at various inelastic thresholds and found in the variational calculations, accounts for several prominent structural features in the scattering cross sections. The present computed results are compared with previous theoretical studies and, wherever possible, with experimental data. © 1973 The American Physical Society.