dorsal/arxiv
View SchemaLamb Shift of 3P and 4P states and the determination of $\alpha$
| Authors | U. D. Jentschura, G. Soff, P. J. Mohr |
|---|---|
| Categories | |
| ArXiv ID | physics/0007023 |
| URL | https://arxiv.org/abs/physics/0007023 |
| DOI | 10.1103/PhysRevA.56.1739 |
| Journal | Phys.Rev.A56:1739,1997 |
Abstract
The fine structure interval of P states in hydrogenlike systems can be determined theoretically with high precision, because the energy levels of P states are only slightly influenced by the structure of the nucleus. Therefore a measurement of the fine structure may serve as an excellent test of QED in bound systems or alternatively as a means of determining the fine structure constant $\alpha$ with very high precision. In this paper an improved analytic calculation of higher-order binding corrections to the one-loop self energy of 3P and 4P states in hydrogen-like systems with low nuclear charge number $Z$ is presented. A comparison of the analytic results to the extrapolated numerical data for high $Z$ ions serves as an independent test of the analytic evaluation. New theoretical values for the Lamb shift of the P states and for the fine structure splittings are given.
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"abstract": "The fine structure interval of P states in hydrogenlike systems can be\ndetermined theoretically with high precision, because the energy levels of P\nstates are only slightly influenced by the structure of the nucleus. Therefore\na measurement of the fine structure may serve as an excellent test of QED in\nbound systems or alternatively as a means of determining the fine structure\nconstant $\\alpha$ with very high precision. In this paper an improved analytic\ncalculation of higher-order binding corrections to the one-loop self energy of\n3P and 4P states in hydrogen-like systems with low nuclear charge number $Z$ is\npresented. A comparison of the analytic results to the extrapolated numerical\ndata for high $Z$ ions serves as an independent test of the analytic\nevaluation. New theoretical values for the Lamb shift of the P states and for\nthe fine structure splittings are given.",
"arxiv_id": "physics/0007023",
"authors": [
"U. D. Jentschura",
"G. Soff",
"P. J. Mohr"
],
"categories": [
"physics.atom-ph",
"hep-ph"
],
"doi": "10.1103/PhysRevA.56.1739",
"journal_ref": "Phys.Rev.A56:1739,1997",
"title": "Lamb Shift of 3P and 4P states and the determination of $\\alpha$",
"url": "https://arxiv.org/abs/physics/0007023"
},
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