Excitation energy of ⁹Be

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Krzysztof Pachucki
Institute of Theoretical Physics, Warsaw University, Hoa 69, 00-681 Warsaw, Poland

Jacek Komasa
Quantum Chemistry Group, Faculty of Chemistry, A. Mickiewicz University, Grunwaldzka 6, 60-780 Pozna, Poland

Received 15 March 2006; published 9 May 2006

Thehigh precision relativistic and radiative corrections to the energy ofthe excited 3 ¹S state of the beryllium atom are obtained.The nonrelativistic wave function, expanded in a basis of exponentiallycorrelated Gaussian functions, yields the lowest upper bounds to theenergy of 2 ¹S and 3 ¹S states. By means of theintegral representation, a reference-quality Bethe logarithm has been obtained. Theresulting theoretical 2 ¹S-3 ¹S transition energy amounts to 54 677.78(45) cm^–1 and differsfrom the known experimental value by about 0.5 cm^–1.

URL:	http://link.aps.org/doi/10.1103/PhysRevA.73.052502
DOI:	10.1103/PhysRevA.73.052502
PACS:	31.30.Jv; 31.15.Pf; 31.25.Jf 31.30.Jv Relativistic and quantum electrodynamic effects in atoms and molecules 31.15.Pf Variational techniques (atoms and molecules) 31.25.Jf Electron-correlation calculations for atoms and ions: excited states YEAR: 2006
KEYWORDS:	beryllium, relativistic corrections, Gaussian distribution, integration, wave functions

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