Abstract
Though one would expect that large-angular momentum doubly excited states exhibit weak electronic correlations, it is shown in this paper that a first-order perturbation theory ignoring such correlations may completely fail in predicting correct autoionization probabilities: quadrupolar transitions are poorly described by lowest-order perturbation theory, except for very large angular momenta. Inclusion of second-order dipole-dipole term considerably improves the accuracy of the method. This effect is computed using Coulomb Green’s function in its analytical form, probably applied here for the first time to autoionization processes. Examples are given in barium for 5dj 5g [k] states (j = 3/2, 5/2) and for 5d5/2nl [k] states with l > 4.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Fano U: Rep. Prog. Phys. 46, 97 (1983); Lin C D: Adv. At. Mol. Phys. 22, 77 (1986); Wintgen D, Richter K, Tanner G: Chaos 2, 19 (1992)
Sandner W: Comments At. Mol. Phys. 20, 171 (1987); Hogervorst W: Comments At. Mol. Phys. 29, 245 (1993)
Jones R R, Gallagher T F: Phys. Rev. A 38, 2846 (1988)
Bente EAJM, Hogervorst W: J. Phys. B 23, 1403 (1990)
van Regemorter H; J. Phys. B 23, 1797 (1990)
Pruvost L, Camus P, Lecomte J-M, Mahon C R, Pillet P: J. Phys. B 24, 4723 (1991)
Camus P, Lecomte J-M, Mahon C R, Pillet P, Pruvost L: J. Phys. II (Paris) 2, 715 (1992)
Camus P, Cohen S: Phys. Rev. A 51, 1985 (1995)
Poirier M: Phys. Rev. A 38, 3484 (1988)
Poirier M: Phys. Rev. A 50, 1335 (1994)
Jaffe SM, Kachru R, van Linden van den Heuvell HB, Gallagher TF: Phys. Rev. A 32, 1480 (1985)
van Leeuwen R, Ubachs W, Hogervorst W: J. Phys. B 27, 3891 (1994)
Luc-Koenig E, Aymar M, van Leeuwen R, Ubachs W, Hogervorst W: Phys. Rev. A 52, 208 (1995)
Nikitin S I, Ostrovsky V N: J. Phys. B 13, 1961 (1980)
Bethe H A, Salpeter E E: Quantum Mechanics of One- and Two- Electron Atoms, New York: Plenum Press 1977
Poirier M: Z. Phys. D 25, 117 (1993)
Dalgarno A, Lewis J T: Proc. Phys. Soc. A233, 70 (1955)
Maquet A: Phys. Rev. A 15, 1088 (1977)
Buchholz H: The Confluent Hypergeometric Function, Berlin: Springer 1969
Seaton M J: Comput. Phys. Commun. 25, 87 (1982)
Pasternack S, Sternheimer R M: J. Math. Phys. 3, 1280 (1962)
Kuske P, Kirchner N, Wittmann W, Andräa H J, Kaiser D: Phys. Lett. 64A, 377 (1978)
Sankey JD, Madej AA: Laser Spectroscopy 9, Feld M S, Thomas J E, Mooradian A (eds.) New York: Academic Press 1989
Bente E A J M, Hogervorst W: J. Phys. B 22, 2679 (1989)
Roussel F, Chéret M, Chen L, Bolzinger T, Spiess G, Hare J, Gross M: Phys. Rev. Lett. 65, 3112 (1990)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Poirier, M.A. Analysis of correlation effects in autoionizing doubly excited states of barium using Coulomb Green’s function. Z Phys D - Atoms, Molecules and Clusters 39, 189–193 (1997). https://doi.org/10.1007/s004600050127
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s004600050127