Abstract
The ${\mathrm{N}}_{2}$ $^{2}\mathrm{\ensuremath{\Pi}}_{\mathrm{g}}$ resonance is investigated using optical potentials that are derived by a Green's-function approach. The optical potentials are computed with the aid of the algebraic diagrammatic construction (ADC). Three different approximations (second-order, two-particle-hole Tamm-Dancoff approximation and the third-order ADC scheme [ADC(3)]) to the optical potential are investigated. The ADC(3) approximation is applied here for the first time to the electron-molecule scattering problem. Scattering calculations are performed and the resonance parameters are obtained from a phase-shift analysis. The results are very satisfactory in particular because they demonstrate the balanced treatment of the ground-state correlation and the correlation in the temporarily formed anionic state.
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