dorsal/arxiv
View SchemaVacuum polarization in muonic atoms: the Lamb shift at low and medium Z
| Authors | Savely G. Karshenboim, Vladimir G. Ivanov, Evgeny Yu. Korzinin |
|---|---|
| Categories | |
| ArXiv ID | physics/0604133 |
| URL | https://arxiv.org/abs/physics/0604133 |
| DOI | 10.1140/epjd/e2006-00133-0 |
Abstract
In muonic atoms the Uehling potential (an effect of a free electronic vacuum polarization loop) is responsible for the leading contribution to the Lamb shift causing the splitting of states with Delta n = 0 and Delta l \neq 0. Here we consider the Lamb shift in the leading nonrelativistic approximation, i.e., within an approach based on a certain Schrodinger equation. That is valid for low and medium $Z$ as long as (Z alpha)^2 >> 1. The result is a function of a few parameters, including kappa = Z alpha m_ mu/m_e, n and l. We present various asymptotics and in particular we study a region of validity of asymptotics with large and small kappa. Special attention is paid to circular states, which are considered in a limit of n >> 1.
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"abstract": "In muonic atoms the Uehling potential (an effect of a free electronic vacuum\npolarization loop) is responsible for the leading contribution to the Lamb\nshift causing the splitting of states with Delta n = 0 and Delta l \\neq 0. Here\nwe consider the Lamb shift in the leading nonrelativistic approximation, i.e.,\nwithin an approach based on a certain Schrodinger equation. That is valid for\nlow and medium $Z$ as long as (Z alpha)^2 \u003e\u003e 1. The result is a function of a\nfew parameters, including kappa = Z alpha m_ mu/m_e, n and l. We present\nvarious asymptotics and in particular we study a region of validity of\nasymptotics with large and small kappa. Special attention is paid to circular\nstates, which are considered in a limit of n \u003e\u003e 1.",
"arxiv_id": "physics/0604133",
"authors": [
"Savely G. Karshenboim",
"Vladimir G. Ivanov",
"Evgeny Yu. Korzinin"
],
"categories": [
"physics.atom-ph"
],
"doi": "10.1140/epjd/e2006-00133-0",
"title": "Vacuum polarization in muonic atoms: the Lamb shift at low and medium Z",
"url": "https://arxiv.org/abs/physics/0604133"
},
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