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• W1965081981 abstract "We compute new estimates of energy levels of doubly excited states with two electrons in the same shell, for all principal quantum numbers $Nensuremath{le}5$ and angular momentum values $0ensuremath{le}Lensuremath{le}2Nensuremath{-}2$ in ${mathrm{H}}^{ensuremath{-}}$ 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 $ensuremath{Delta}L=ifmmodepmelsetextpmfi{}2$; 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 $Rensuremath{simeq}{N}^{2}$. 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." @default.
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• W1965081981 date "1980-10-01" @default.
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• W1965081981 title "Supermultiplet classification of higher intrashell doubly excited states of<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant=normal>H</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>and He" @default.
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• W1965081981 doi "https://doi.org/10.1103/physreva.22.1517" @default.
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