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APS » Journals » Phys. Rev. Lett. » Volume 90 » Issue 16
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Phys. Rev. Lett. 90, 163001 (2003) [4 pages]

Asymptotic Properties of Self-Energy Coefficients

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Ulrich D. Jentschura1,2, Eric-Olivier Le Bigot2,3, Peter J. Mohr3, Paul Indelicato2, and Gerhard Soff1
1Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany
2Laboratoire Kastler Brossel, École Normale Supérieure et Université Pierre et Marie Curie, Case 74 4, pl. Jussieu, 75005 Paris, France
3National Institute of Standards and Technology, Mail Stop 8401, Gaithersburg, Maryland 20899-8401, USA

Received 31 January 2003; revised 8 April 2003; published 24 April 2003

We investigate the asymptotic properties of higher-order binding corrections to the one-loop self-energy of excited states in atomic hydrogen. We evaluate the historically problematic A60 coefficient for all P states with principal quantum numbers n≤7 and D states with n≤8 and find that a satisfactory representation of the n dependence of the coefficients requires a three-parameter fit. For the high-energy contribution to A60, we find exact formulas. The results obtained are relevant for the interpretation of high-precision laser spectroscopic measurements.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.90.163001
DOI:
10.1103/PhysRevLett.90.163001
PACS:
31.30.Jv, 12.20.Ds, 31.15.–p
 
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