Higher-Order Binding Corrections to the Lamb Shift

In this work a new analytical method for calculating the one-loop self-energy correction to the Lamb shift is presented in detail. The technique relies on division into the low and the high energy parts. The low energy part is calculated using the multipole expansion and the high energy part is calc...

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Bibliographic Details
Published in:Annals of physics 1993-08, Vol.226 (1), p.1-87
Main Author: Pachucki, K.
Format: Article
Language:English
Subjects:
662220 - Quantum Electrodynamics- (1992-)
664100 - Theory of Electronic Structure of Atoms & Molecules- (1992-)
ANALYTIC FUNCTIONS
ATOMIC AND MOLECULAR PHYSICS
BINDING ENERGY
BOUND STATE
CORRECTIONS
COULOMB ENERGY
COULOMB FIELD
ELECTRIC FIELDS
ELECTRODYNAMICS
ENERGY
ENERGY LEVELS
Exact sciences and technology
FIELD THEORIES
FUNCTIONS
LAMB SHIFT
Physics
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
PROPAGATOR
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
SELF-ENERGY
Specific calculations
Specific theories and interaction models
particle systematics
SPECTRAL SHIFT
TESTING
The physics of elementary particles and fields
VALIDATION
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Description
Summary:In this work a new analytical method for calculating the one-loop self-energy correction to the Lamb shift is presented in detail. The technique relies on division into the low and the high energy parts. The low energy part is calculated using the multipole expansion and the high energy part is calculated by expanding the Dirac-Coulomb propagator in powers of the Coulomb field. The obtained results are in agreement with those previously known, but are more accurate. A new theoretical value of the Lamb shift is also given.
ISSN:0003-4916
1096-035X
DOI:10.1006/aphy.1993.1063