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Frequency-comb referenced collinear laser spectroscopy of Be+ for nuclear structure investigations and many-body QED tests

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Abstract

Transition frequencies of the \(2s\,^2{\text{S}}_{1/2} \rightarrow 2p\,^2 {\text{P}}_{1/2,\,3/2}\) transitions in Be\(^+\) were measured in stable and short-lived isotopes at ISOLDE (CERN) using collinear laser spectroscopy and frequency-comb-referenced dye lasers. Quasi-simultaneous measurements in copropagating and counterpropagating geometry were performed to become independent from acceleration voltage determinations for Doppler-shift corrections of the fast ion beam. Isotope shifts and fine-structure splittings were obtained from the transition frequencies measured with a frequency comb with accuracies better than 1 MHz and led to a precise determination of the nuclear charge radii of \(^{7,10-12}\)Be relative to the stable isotope 9Be. Moreover, an accurate determination of the 2p fine-structure splitting allowed a test of high-precision bound-state QED calculations in the three-electron system. Here, we describe the laser spectroscopic method in detail, including several tests that were carried out to determine or estimate systematic uncertainties. Final values from two experimental runs at ISOLDE are presented, and the results are discussed.

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Acknowledgements

We acknowledge enlightening discussions with I. Sick about the charge radius of 9Be from elastic electron scattering. This work was supported by the Helmholtz Association (VH-NG 148), the German Ministry for Science and Education (BMBF) under contracts 05P12RDCIC and 05P15RDCIA, the Helmholtz International Center for FAIR (HIC for FAIR) within the LOEWE program by the State of Hesse, the Max-Planck Society, the European Union 7th Framework through ENSAR, and the BriX IAP Research Program No. P6/23 (Belgium). A. Krieger acknowledges support from the Carl-Zeiss-Stiftung (AZ:21-0563-2.8/197/1).

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Authors and Affiliations

  1. Institut für Kernphysik, Technische Universität Darmstadt, 64289, Darmstadt, Germany

    A. Krieger, W. Nörtershäuser, Ch. Geppert & J. Krämer

  2. Institut für Kernchemie, Johannes Gutenberg-Universität Mainz, 55128, Mainz, Germany

    A. Krieger, W. Nörtershäuser, Ch. Geppert, N. Frömmgen, M. Hammen, J. Krämer, R. Neugart, R. Sánchez, D. Tiedemann & M. Zakova

  3. Helmholtz-Institut Mainz, Johannes Gutenberg-Universität Mainz, 55128, Mainz, Germany

    A. Krieger & M. Hammen

  4. Max-Planck-Institut für Kernphysik, 69117, Heidelberg, Germany

    K. Blaum, K. Kreim, R. Neugart & D. T. Yordanov

  5. Instituut Voor Kern- En Stralingsfysica, KU Leuven, 3001, Leuven, Belgium

    M. L. Bissell & G. Neyens

  6. Physics Department, CERN, 1211, Geneva 23, Switzerland

    M. Kowalska & D. T. Yordanov

  7. GSI Helmholtzzentrum für Schwerionenforschung, 64291, Darmstadt, Germany

    R. Sánchez

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  1. A. Krieger
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  2. W. Nörtershäuser
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Correspondence to W. Nörtershäuser.

Additional information

This article is part of the topical collection “Enlightening the World with the Laser” - Honoring T. W. Hänsch guest edited by Tilman Esslinger, Nathalie Picqué, and Thomas Udem.

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Krieger, A., Nörtershäuser, W., Geppert, C. et al. Frequency-comb referenced collinear laser spectroscopy of Be+ for nuclear structure investigations and many-body QED tests. Appl. Phys. B 123, 15 (2017). https://doi.org/10.1007/s00340-016-6579-5

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