Doubly excited shape resonance states in H- above the hydrogen N=5 threshold.

Abstract

The method of complex-coordinate rotation is used to calculate shape resonances lying above the N=5 hydrogen threshold in ${\mathit{e}}^{\mathrm{\ensuremath{-}}\mathrm{\ensuremath{-}}}$H scattering. We report resonance parameters for $^{3}$${\mathit{P}}^{\mathit{o}}$, $^{1}$${\mathit{D}}^{\mathit{e}}$, $^{3}$${\mathit{F}}^{\mathit{o}}$, $^{1}$${\mathit{F}}^{\mathit{e}}$, $^{1}$${\mathit{G}}^{\mathit{e}}$, $^{3}$${\mathit{G}}^{\mathit{e}}$, $^{1}$${\mathit{G}}^{\mathit{o}}$, $^{3}$${\mathit{G}}^{\mathit{o}}$, $^{1}$${\mathit{H}}^{\mathit{o}}$, $^{3}$${\mathit{H}}^{\mathit{e}}$, $^{1}$${\mathit{I}}^{\mathit{e}}$, $^{3}$${\mathit{I}}^{\mathit{o}}$, $^{1}$${\mathit{K}}^{\mathit{o}}$, and $^{3}$${\mathit{K}}^{\mathit{e}}$ states for a total of 19 shape resonances. Resonance energies and widths are obtained by employing up to 1642 terms of wave functions constructed by the products of Slater-type orbitals. The shape resonances are the top portions of the supermultiplet structures for doubly excited intrashell states of ${\mathrm{H}}^{\mathrm{\ensuremath{-}}}$ associated with the N=5 hydrogen threshold. For completeness, we also list the doubly excited Feshbach resonances obtained in previous complex-rotation calculations. Together with the present results for shape resonances, all the doubly excited intrashell states associated with the N=5 hydrogen threshold are now accounted for.