Title

Higher-Order Binding Corrections to the Lamb Shift

Abstract

This paper reports the status and progress regarding the evaluation of higher order binding corrections to the Lamb shift in systems with low nuclear charge Z. Recently, the evaluation of all binding corrections to the Lamb shift of nP states in hydrogenlike systems at low Z up to the order of α7 (n=2,3,4) has been completed. Using an extrapolation of numerical results, it is possible to obtain an approximate value for higher-order corrections to excited S-states also. Moreover, a calculation is in progress whose ultimate goal is to eliminate any error from low-Z type series expansions or extrapolations of numerical data for high Z. This calculation involves the use of convergence acceleration techniques for certain hypergeometric series and takes advantage of the NIST SGT POWER ONYX and IBM SP/2 supercomputing facilities.

Meeting Name

1998 Conference Precision Electromagnetic Measurements (1998: Jul. 6-10, Washington, DC)

Department(s)

Physics

Keywords and Phrases

Approximation Theory; Electron Energy Levels; Mathematical Models; Quantum Theory; Supercomputers; Higher-order Binding Corrections; Lamb Shift; Electrodynamics

International Standard Serial Number (ISSN)

0589-1485

Document Type

Article - Conference proceedings

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1998 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.

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