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Title: 2s Hyperfine splitting in light hydrogen-like atoms: Theory and experiment

Abstract

Since the combination D{sub 21} = 8f{sub HFS}(2s)-f{sub HFS}(1s) of hyperfine intervals in hydrogen and light two-body hydrogen-like atomic systems weakly depends on the nuclear structure, comparison between theory and experiment can be sensitive to high order QED corrections. New theoretical and experimental results are presented. Calculations have been performed for the hydrogen and deuterium atoms and for the helium-3 ion. Experiments on the 2s hyperfine splitting (responsible for the dominant contribution to the error in D{sub 21}) have been conducted for hydrogen and deuterium. The theory and experiment are in good agreement, and their accuracy is comparable to that attained in verifying the QED theory of the hyperfine splitting in leptonic atoms (muonium and positronium)

Authors:
 [1];  [2];  [3]; ; ;  [2]
  1. D.I. Mendeleev Institute for Metrology (Russian Federation), E-mail: sgk@vniim.ru
  2. Max-Planck-Institut fuer Quantenoptik (Germany)
  3. Russian Academy of Sciences, Pulkovo Astronomical Observatory (Russian Federation)
Publication Date:
OSTI Identifier:
21067730
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Experimental and Theoretical Physics; Journal Volume: 102; Journal Issue: 3; Other Information: DOI: 10.1134/S1063776106030010; Copyright (c) 2006 Nauka/Interperiodica; Article Copyright (c) 2006 Pleiades Publishing, Inc; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CORRECTIONS; DEUTERIUM; ERRORS; HELIUM 3; HELIUM IONS; HYDROGEN; MUONIUM; NUCLEAR STRUCTURE; POSITRONIUM; QUANTUM ELECTRODYNAMICS; TWO-BODY PROBLEM

Citation Formats

Karshenboim, S. G., Kolachevsky, N. N., Ivanov, V. G., Fischer, M., Fendel, P., and Haensch, T. W. 2s Hyperfine splitting in light hydrogen-like atoms: Theory and experiment. United States: N. p., 2006. Web. doi:10.1134/S1063776106030010.
Karshenboim, S. G., Kolachevsky, N. N., Ivanov, V. G., Fischer, M., Fendel, P., & Haensch, T. W. 2s Hyperfine splitting in light hydrogen-like atoms: Theory and experiment. United States. doi:10.1134/S1063776106030010.
Karshenboim, S. G., Kolachevsky, N. N., Ivanov, V. G., Fischer, M., Fendel, P., and Haensch, T. W. Wed . "2s Hyperfine splitting in light hydrogen-like atoms: Theory and experiment". United States. doi:10.1134/S1063776106030010.
@article{osti_21067730,
title = {2s Hyperfine splitting in light hydrogen-like atoms: Theory and experiment},
author = {Karshenboim, S. G. and Kolachevsky, N. N. and Ivanov, V. G. and Fischer, M. and Fendel, P. and Haensch, T. W.},
abstractNote = {Since the combination D{sub 21} = 8f{sub HFS}(2s)-f{sub HFS}(1s) of hyperfine intervals in hydrogen and light two-body hydrogen-like atomic systems weakly depends on the nuclear structure, comparison between theory and experiment can be sensitive to high order QED corrections. New theoretical and experimental results are presented. Calculations have been performed for the hydrogen and deuterium atoms and for the helium-3 ion. Experiments on the 2s hyperfine splitting (responsible for the dominant contribution to the error in D{sub 21}) have been conducted for hydrogen and deuterium. The theory and experiment are in good agreement, and their accuracy is comparable to that attained in verifying the QED theory of the hyperfine splitting in leptonic atoms (muonium and positronium)},
doi = {10.1134/S1063776106030010},
journal = {Journal of Experimental and Theoretical Physics},
number = 3,
volume = 102,
place = {United States},
year = {Wed Mar 15 00:00:00 EST 2006},
month = {Wed Mar 15 00:00:00 EST 2006}
}
  • A measurement of the 2s{sub 1/2}-2p{sub 3/2} x-ray transition in trapped Li-like Bi{sup 80+} ions was made that resolved the 0.820{plus_minus}0.026 eV hyperfine splitting of the (1s{sup 2}2s){sub F=4,5} ground configuration, providing the first such measurement in a multielectron highly charged ion. The intensity ratio of the two components is shown to be a new electron density diagnostic. The statistically averaged 2788.139{plus_minus}0.039 eV energy of the 2s{sub 1/2}-2p{sub 3/2} transition provides the most accurate test of QED in a high-Z ion to date, demonstrating the need for including higher-order terms in the Lamb shift calculations. {copyright} {ital 1998} {ital Themore » American Physical Society}« less
  • Measurements of hyperfine splittings in highly charged ions are sensitive to details of the nuclear structure and the nuclear magnetic field distribution, but the proper interpretation of the measurements requires that the atomic structure is understood in sufficient detail. Lastly, we discuss the reasoning behind various recent experiments and what advantage is offered by the study of the Li-like ion of a mid-Z element such as praseodymium.
  • Corrections of orders {alpha}{sup 5} and {alpha}{sup 6} are calculated in the hyperfine splitting of the 2S state in the muonic hydrogen. The nuclear structure effects are taken into account in the one- and two-loop Feynman amplitudes by means of the proton electromagnetic form factors. The total numerical value of the 2S state hyperfine splitting in the muonic hydrogen is 22.8148 meV. This value can be considered as a reliable estimate in conducting a corresponding experiment with an accuracy 10{sup -5}. The value of the Sternheim hyperfine splitting interval [8{delta}E{sup HFS}(2S)-{delta}E{sup HFS}(1S)] is obtained with an accuracy 10{sup -6}.
  • Form factors involving the 1s,2s,3s, and 4s states of; hydrogen-like atoms have been calculated in the Born approximation. Coefficients of exact analytic expressions in terms of the momentum transfer are tabulated for all transitions to discrete states with n{prime}<10 and l{prime}<3. 11 refs., 4 tabs.