On the α2(Zα)2-vacuum polarisation contribution to the muonic atom energy levels

J. Calmet; D. A. Owen

doi:10.1088/0022-3700/12/2/008

On the α²(Zα)²-vacuum polarisation contribution to the muonic atom energy levels

J. Calmet, D. A. Owen

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

A derivation of the relativistic, quantum electrodynamical expression for the alpha ²(Z alpha )²-vacuum polarisation correction to muonic energy levels is presented. Using this derivation based on the bound-state interaction picture, the expression for the other radiative corrections such as the Lamb shift alpha (Z alpha )³-vacuum polarisation, etc are obtained. This shows that the resulting expression for the alpha ²(Z alpha )²-vacuum polarisation contribution is consistent with those used in other calculations which are rigorously based on quantum electrodynamics. Furthermore, this approach avoids the problem of double counting.

Original language	English
Article number	008
Pages (from-to)	169-176
Number of pages	8
Journal	Journal of Physics B: Atomic and Molecular Physics
Volume	12
Issue number	2
DOIs	https://doi.org/10.1088/0022-3700/12/2/008
State	Published - 1 Dec 1979
Externally published	Yes

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

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10.1088/0022-3700/12/2/008

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abstract = "A derivation of the relativistic, quantum electrodynamical expression for the alpha 2(Z alpha )2-vacuum polarisation correction to muonic energy levels is presented. Using this derivation based on the bound-state interaction picture, the expression for the other radiative corrections such as the Lamb shift alpha (Z alpha )3-vacuum polarisation, etc are obtained. This shows that the resulting expression for the alpha 2(Z alpha )2-vacuum polarisation contribution is consistent with those used in other calculations which are rigorously based on quantum electrodynamics. Furthermore, this approach avoids the problem of double counting.",

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AB - A derivation of the relativistic, quantum electrodynamical expression for the alpha 2(Z alpha )2-vacuum polarisation correction to muonic energy levels is presented. Using this derivation based on the bound-state interaction picture, the expression for the other radiative corrections such as the Lamb shift alpha (Z alpha )3-vacuum polarisation, etc are obtained. This shows that the resulting expression for the alpha 2(Z alpha )2-vacuum polarisation contribution is consistent with those used in other calculations which are rigorously based on quantum electrodynamics. Furthermore, this approach avoids the problem of double counting.

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On the α²(Zα)²-vacuum polarisation contribution to the muonic atom energy levels

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