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We compute new estimates of energy levels of doubly excited states with two electrons in the same shell, for all principal quantum numbers N ≤ 5 and angular momentum values 0 ≤ L ≤ 2 N - 2 in H - and He. We investigate the structure of these intrashell spectra using a recent "supermultiplet" approach which orginates in the O(4) shell structure of one-electron atoms. We provide new interpretations of the electron correlation underlying the O(4) states and supermultiplets of two-electron atoms; this accounts qualitatively for approximate separability of rotationlike and vibrationlike progressions of levels found in the computed spectra. Certain diamond-shaped patterns of supermultiplet energies are found to contain near degeneracies of levels with Δ L = ± 2 ; this accounts in part for level clustering we find in the unresolved spectra. Our investigation of scaling of the apparent rotational and vibrational parts of the energy with higher N shows consistency with a simple model of the atom which has electrons on the surface of a spherical shell, with radius R ≃ N 2 . We investigate the model group theoretically, and find two different O(4) groups which describe angular electron correlation in limiting cases of large or small shell radius for each principal quantum number N . A third O(4) group is related to intrashell radiative transitions.
Physical Review A – American Physical Society (APS)
Published: Oct 1, 1980
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