Application of the method of continued fractions to multichannel studies on electronic excitation ofH2by electron impact

Abstract

In the present work, the method of continued fractions at a five-channel close-coupling level of approximation is applied to study the low-energy electron-impact excitation in linear molecules. Particularly, cross sections for the ${X}^{1}{\ensuremath{\Sigma}}_{g}^{+}\ensuremath{\rightarrow}{b}^{3}{\ensuremath{\Sigma}}_{u}^{+},$ ${X}^{1}{\ensuremath{\Sigma}}_{g}^{+}\ensuremath{\rightarrow}{a}^{3}{\ensuremath{\Sigma}}_{g}^{+},$ and ${X}^{1}{\ensuremath{\Sigma}}_{g}^{+}\ensuremath{\rightarrow}{c}^{3}{\ensuremath{\Pi}}_{u}$ transitions in ${\mathrm{H}}_{2}$ in the (15\char21{}40)-eV energy range are reported. As in our early two-state studies, no orthogonality constraint between the bound and continuum orbitals is imposed and the one-electron exchange terms are considered explicitly. In general, our calculated cross sections are in good agreement with the results obtained by the four-state Kohn variational method. Comparison between our calculated results with available experimental data is encouraging.