Abstract
Autoionization widths of atomic states with an outer electron in a large angular momentum l are analyzed using Coulomb Green's function. The analytical representation and the Sturmian expansion of this function are both used. The method is applied here to low doubly excited states of alkaline-earth-metal atoms, among which ${3d}_{j}\mathrm{ng}$ in Ca, ${4d}_{j}\mathrm{ng}$ in Sr, and ${5d}_{j}\mathrm{nl}$ in Ba. For the ${5d}_{5/2}\mathrm{nh} J=5$ levels of barium, the predicted width accurately agrees with previous measurements. Concerning the ${5d}_{j}\mathrm{ng}$ levels of barium, the method provides figures in generally good agreement with experimental or theoretical data if available. It demonstrates that a series of previously reported widths arise only from experimental broadening; new values are reported for such states.
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