dorsal/arxiv
View SchemaRelativistic nuclear recoil corrections to the energy levels of hydrogen-like and high $Z$ lithium like atoms in all orders in $\alpha Z$
| Authors | A. N. Artemyev, V. M. Shabaev, V. A. Yerokhin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9506022 |
| URL | https://arxiv.org/abs/quant-ph/9506022 |
| DOI | 10.1103/PhysRevA.52.1884 |
Abstract
The relativistic nuclear recoil corrections to the energy levels of low-laying states of hydrogen-like and high $Z$ lithium-like atoms in all orders in $\alpha Z$ are calculated. The calculations are carried out using the B-spline method for the Dirac equation. For low $Z$ the results of the calculation are in good agreement with the $\alpha Z$ -expansion results. It is found that the nuclear recoil contribution, additional to the Salpeter's one, to the Lamb shift ($n=2$) of hydrogen is $-1.32(6)\,kHz$. The total nuclear recoil correction to the energy of the $(1s)^{2}2p_{\frac{1}{2}}-(1s)^{2}2s$ transition in lithium-like uranium constitutes $-0.07\,eV$ and is largely made up of QED contributions.
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"abstract": "The relativistic nuclear recoil corrections to the energy levels of\nlow-laying states of hydrogen-like and high $Z$ lithium-like atoms in all\norders in $\\alpha Z$ are calculated. The calculations are carried out using the\nB-spline method for the Dirac equation.\n For low $Z$ the results of the calculation are in good agreement with the\n$\\alpha Z$ -expansion results. It is found that the nuclear recoil\ncontribution, additional to the Salpeter\u0027s one, to the Lamb shift ($n=2$) of\nhydrogen is $-1.32(6)\\,kHz$. The total nuclear recoil correction to the energy\nof the $(1s)^{2}2p_{\\frac{1}{2}}-(1s)^{2}2s$ transition in lithium-like uranium\nconstitutes $-0.07\\,eV$ and is largely made up of QED contributions.",
"arxiv_id": "quant-ph/9506022",
"authors": [
"A. N. Artemyev",
"V. M. Shabaev",
"V. A. Yerokhin"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.52.1884",
"title": "Relativistic nuclear recoil corrections to the energy levels of hydrogen-like and high $Z$ lithium like atoms in all orders in $\\alpha Z$",
"url": "https://arxiv.org/abs/quant-ph/9506022"
},
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