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University of Nebraska - Lincoln

Gordon Gallup Publications

2005

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Complex Energy Shift And Background Phase Shift For Simulated Electron-Molecular Shape Resonances, Gordon A. Gallup Feb 2005

Complex Energy Shift And Background Phase Shift For Simulated Electron-Molecular Shape Resonances, Gordon A. Gallup

Gordon Gallup Publications

Feshbach-Fano resonance theory (FFRT) is used to determine the energy dependence of the complex energy shift function, consisting of the real energy shift and the resonance width, and the background phase shift for several simulated molecular shape resonances. Attention is paid to the way the choice of the quasibound state (QBS) function required in the FFRT affects these energy dependencies. An overlap criterion for choosing an optimal QBS function is proposed. Using our treatment on t-butylchloride, carbon tetrachloride, ethylene, and benzene, we give numerical results for specific cases of l = 1 through 4. We find that the real …