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Supermultiplet classification of higher intrashell doubly excited states of H - and He

Supermultiplet classification of higher intrashell doubly excited states of H - and He 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review A American Physical Society (APS)

Supermultiplet classification of higher intrashell doubly excited states of H - and He

Physical Review A , Volume 22 (4) – Oct 1, 1980
19 pages

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Publisher
American Physical Society (APS)
Copyright
Copyright © 1980 The American Physical Society
ISSN
1094-1622
DOI
10.1103/PhysRevA.22.1517
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Physical Review AAmerican Physical Society (APS)

Published: Oct 1, 1980

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