M. Poirier, ANALYSIS OF CORRELATION-EFFECTS IN AUTOIONIZING DOUBLY-EXCITED STATESOF BARIUM USING COULOMB GREENS-FUNCTION, Zeitschrift fur Physik. D, Atoms, molecules and clusters, 39(3), 1997, pp. 189-193
Though one would expect that large-angular momentum doubly excited sta
tes exhibit weak electronic correlations, it is shown in this paper th
at a first-order perturbation theory ignoring such correlations may co
mpletely fail in predicting correct autoionization probabilities: quad
rupolar transitions are poorly described by lowest-order perturbation
theory, except for very large angular momenta. Inclusion of second-ord
er dipole-dipole term considerably improves the accuracy of the method
. This effect is computed using Coulomb Green's function in its analyt
ical form, probably applied here for the first time to autoionization
processes. Examples are given in barium for 5d(j) 5g [k] states (j = 3
/2, 5/2) and for 5d(5/2) nl [k] states with l > 4.