Improved i4 1snl ionization energy, energy levels, and Lamb shifts for 1sns and 1snp terms

W. C. Martin
Phys. Rev. A 36, 3575 – Published 1 October 1987
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Abstract

The consistencies of calculated term values (ionization energies) for various 1snl terms having n=5–8, l=1–5 are tested by microwave-spectroscopic and other available data. The most accurate n P, n D, and n F term values obtained from published variational calculations are generally found to be consistent, within the estimated uncertainties, with more accurate n G and n H energies from core-polarization theory [R. J. Drachman, Phys. Rev. A 26, 1228 (1982)]. The n 3D and n 1D term values from variational calculations [A. Kono and S. Hattori, Phys. Rev. A 34, 1727 (1986)] are confirmed within uncertainties as small as 104 cm1 (n=8), although the D1 values are systematically too large by amounts within the uncertainties. The ionization energy EI has accordingly been reevaluated by using only the calculated n 3D term values (n=4,5) and available experimental measurements: The resulting EI value is 198 310.772 27(40) cm1 with respect to the 2 S3 level at 159 856.077 60 cm1.

The available data and calculated term energies allow determination of the entire 1snl excited energy-level system with much improved accuracy for the higher levels. Calculated energies are used instead of experimental results in several cases involving apparently underestimated experimental uncertainties. The levels are given explicitly through n=8. Experimental term values based on the new EI value are combined with calculated term values not including QED contributions to obtain ‘‘experimental’’ Lamb shifts for a number of n S and n P terms. The experimental Lamb shifts of the 2 S13–2 P13 and 2 P13–2 P11 separations are also reevaluated. Results of comparisons of these experimental shifts with various calculated Lamb shifts vary from agreement within 0.3% experimental uncertainties (for the 2 S3 shift and shift of the 2 S13–2 P13 separation) to relatively large discrepancies for the higher n S terms (∼50% for 5 S3). Two-electron QED contributions calculated for 2 S3, 2 S1, and 2 P1 [G. W. F. Drake and A. J. Makowski, J. Phys. B 18, L103 (1985)] are confirmed within uncertainties of about 35% by the data in each case, the level of confirmation for 2 S3 and 2 P1 being subject to additional uncertainties from as-yet uncalculated contributions.

  • Received 12 September 1986

DOI:https://doi.org/10.1103/PhysRevA.36.3575

©1987 American Physical Society

Authors & Affiliations

W. C. Martin

  • National Measurement Laboratory, National Bureau of Standards, Gaithersburg, Maryland 20899

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Vol. 36, Iss. 8 — October 1987

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