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- W1992065630 abstract "The electron-excitation cross sections of the $3^{2}P$, $3^{2}D$, $4^{2}S$, $4^{2}P$, $4^{2}D$, and $4^{2}F$ states have been calculated at several incident energies between 4 and 24 eV by using the method of close coupling. Three different sets of calculations in which the wave functions of the electron-atom system are expanded by three states ($3s,3p,3d$), by seven states ($3s,3p,3d,4s,4p,4d,4f$), and by eight states ($3s,3p,3d,4s,4p,4d,4f,5p$) of the target atom, have been performed in order to investigate how the cross sections are influenced by the indirect coupling of the ground state to the final state through the intermediate ones. The $3^{2}D$ cross sections are found to be about 30% higher than the values obtained by the Born approximation and by the scheme of $3sensuremath{-}3d$ two-state close coupling. The strong coupling of $3s$ with $3p$ and of $3d$ with $3p$ provides an indirect coupling between $3s$ and $3d$ which is mainly responsible for the large increase of the $3^{2}D$ cross sections over the Born-approximation values. A similar kind of increase in the cross sections is also observed for the $4^{2}D$ state owing to the indirect coupling through the intermediate $3p$ and $4p$ states. Inclusion of the intermediate states $3^{2}D$, $4^{2}D$, and $4^{2}S$ in the close-coupling calculation likewise affects considerably the $3^{2}P$ and $4^{2}P$ cross sections. The effect of indirect coupling is most pronounced in the $4^{2}F$ cross sections (ranging from a fourfold to a tenfold increase over the Born approximation), because the direct coupling between $3s$ and $4f$ is weak and of rather short range so that the major contribution to the cross sections arises from the indirect part. Comparisons of the theoretical cross sections with the experimental values are made." @default.
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- W1992065630 date "1973-02-01" @default.
- W1992065630 modified "2023-09-27" @default.
- W1992065630 title "Electron-Excitation Cross Sections of Sodium by the Method of Close Coupling" @default.
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- W1992065630 doi "https://doi.org/10.1103/physreva.7.545" @default.
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