Abstract
Two resonance structures, conventionally labeled b and c, appear between the first and second excitation thresholds in the electron-impact-excitation cross section of neon, and it has been suggested that spectroscopic assignments for these resonances should be based upon the ``grandparent model'' rather than on the ``parent'' model. Supportive evidence comes from both experimental and theoretical studies. In this model, it is assumed that two outer electrons participate in the formation of the resonance state relatively independently of the core electrons. This structure is reflected in the angular momentum coupling used to describe the resonance states. In this work, we validate the grandparent model of these resonances using complex dilated double-configuration Hartree-Fock calculations to determine the resonance eigenstates in the competing coupling schemes. For the b resonance, we also examine the isolation of the core from the two outer electrons as well as the effect of core relaxation. We reveal the roles played by exchange and orthogonality in the b resonance through graphical analysis by making use of special properties of the dilated eigenfunctions. Comparison with the lowest shape resonance in electron-sodium scattering is presented.
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