dorsal/arxiv
View SchemaExact two-loop vacuum polarization correctionto the Lamb shift in hydrogen-like ions
| Authors | G. Plunien, T. Beier, G. Soff, H. Persson |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9707008 |
| URL | https://arxiv.org/abs/quant-ph/9707008 |
Abstract
We present a calculation scheme for the two-loop vacuum polarization correction of order $\alpha^2$ to the Lamb shift of hydrogen-like high-Z atoms. The interaction with the external Coulomb field is taken into account to all orders in $(Z\alpha)$. By means of a modified potential approach the problem is reduced to the evaluation of effective one-loop vacuum polarization potentials. An expression for the energy shift is deduced within the framework of partial wave decomposition performing appropriate subtractions. Exact results for the two-loop vacuum polarization contribution to the Lamb shift of K- and L-shell electron states in hydrogen-like Lead and Uranium are presented.
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"date_created": "2026-03-02T18:02:41.345000Z",
"date_modified": "2026-03-02T18:02:41.345000Z",
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"abstract": "We present a calculation scheme for the two-loop vacuum polarization\ncorrection of order $\\alpha^2$ to the Lamb shift of hydrogen-like high-Z atoms.\nThe interaction with the external Coulomb field is taken into account to all\norders in $(Z\\alpha)$. By means of a modified potential approach the problem is\nreduced to the evaluation of effective one-loop vacuum polarization potentials.\nAn expression for the energy shift is deduced within the framework of partial\nwave decomposition performing appropriate subtractions. Exact results for the\ntwo-loop vacuum polarization contribution to the Lamb shift of K- and L-shell\nelectron states in hydrogen-like Lead and Uranium are presented.",
"arxiv_id": "quant-ph/9707008",
"authors": [
"G. Plunien",
"T. Beier",
"G. Soff",
"H. Persson"
],
"categories": [
"quant-ph"
],
"title": "Exact two-loop vacuum polarization correctionto the Lamb shift in hydrogen-like ions",
"url": "https://arxiv.org/abs/quant-ph/9707008"
},
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"execution_id": "ce24ceca-7cc3-4db1-a26b-1eac4ec20a01",
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"type": "Model",
"variant": "snapshot-2026-03-01",
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