Abstract
The hyperfine splitting in heavy highly charged ions provide the means to test QED in extremely strong magnetic fields. In order to provide a meaningful test, the splitting has to be measured in H-like and Li-like ions to remove uncertainties from nuclear structure. This has been achieved at the experimental storage ring ESR but a discrepancy to the theoretical prediction of more than 7σ was observed. We report on these measurements as well as on NMR measurements that were performed to solve this issue.
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Hanneke, D., Fogwell, S., Gabrielse, G.: New determination of the fine structure constant from the electron g value and QED. Phys. Rev. Lett. 100(12), 120801 (2008)
Pastor, P.C., Giusfredi, G., Natale, P.D., Hagel, G., de Mauro, C., Inguscio, M.: Absolute frequency measurements of the \({2}^{3}{S}_{1}{\rightarrow }{2}^{3}{P}_{0,1,2}\) atomic helium transitions around 1083 nm. Phys. Rev. Lett. 92, 023001 (2004)
Kato, K., Skinner, T.D.G., Hessels, E.A.: Ultrahigh-precision measurement of the n = 2 triplet P fine structure of atomic helium using frequency-offset separated oscillatory fields. Phys. Rev. Lett. 121, 143002 (2018)
Wagner, A., Sturm, S., Köhler, F., Glazov, D.A., Volotka, A.V., Plunien, G., Quint, W., Werth, G., Shabaev, V.M., Blaum, K.: g Factor of Lithiumlike Silicon 28Si11+. Phys. Rev. Lett. 110, 033003 (2013)
Köhler, F., Blaum, K., Block, M., Chenmarev, S., Eliseev, S., Glazov, D., Goncharov, M., Hou, J., Kracke, A., Nesterenko, D., Novikov, Y., Quint, W., Ramirez, E., Shabaev, V., Sturm, S., Volotka, A., Werth, G.: Isotope dependence of the Zeeman effect in lithium-like calcium. Nat. Commun. 7, 10246 (2016)
Gumberidze, A., Stöhlker, T., Banas, D., Beckert, K., Beller, P., Beyer, H.F., Bosch, F., Hagmann, S., Kozhuharov, C., Liesen, D., Nolden, F., Ma, X., Mokler, P.H., Steck, M., Sierpowski, D., Tashenov, S.: Quantum electrodynamics in strong electric fields: the ground-state lamb shift in hydrogenlike uranium. Phys. Rev. Lett. 94(22), 223001 (2005)
Beiersdorfer, P., Chen, H., Thorn, D.B., Träbert, E.: Measurement of the two-loop lamb shift in Lithiumlike U89+. Phys. Rev. Lett. 95, 233003 (2005)
Klaft, I., Borneis, S., Engel, T., Fricke, B., Grieser, R., Huber, G., Kühl, T., Marx, D., Neumann, R., Schröder, S., Seelig, P., Völker, L.: Precision laser spectroscopy of the ground state hyperfine splitting of hydrogenlike 209Bi82+. Phys. Rev. Lett. 73(18), 2425 (1994)
Seelig, P., Borneis, S., Dax, A., Engel, T., Faber, S., Gerlach, M., Holbrow, C., Huber, G., Kühl, T., Marx, D., Meier, K., Merz, P., Quint, W., Schmitt, F., Tomaselli, M., Völker, L., Winter, H., Würtz, M., Beckert, K., Franzke, B., Nolden, F., Reich, H., Steck, M., Winkler, T.: Ground state hyperfine splitting of hydrogenlike 207Pb81+ by laser excitation of a bunched Ion beam in the GSI experimental storage ring. Phys. Rev. Lett. 81(22), 4824 (1998)
López-Urrutia, J.R.C., Beiersdorfer, P., Widmann, K., Birkett, B.B., Martensson-Pendrill, A.M., Gustavsson, M.G.H.: Nuclear magnetization distribution radii determined by hyperfine transitions in the 1s level of H-like ions 185Re74+ and 187Re74+. Phys. Rev. A 57(3), 879 (1998)
Crespo López-Urrutia, J.R., Beiersdorfer, P., Savin, D.W., Widmann, K.: Direct observation of the spontaneous emission of the hyperfine transition F = 4 to F = 3 in ground state hydrogenlike 165Ho66+ in an electron beam ion trap. Phys. Rev. Lett. 77(5), 826 (1996)
Beiersdorfer, P., Utter, S.B., Wong, K.L., López-Urrutia, J.R.C., Britten, J.A., Chen, H., Harris, C.L., Thoe, R.S., Thorn, D.B., Träbert, E., Gustavsson, M.G.H., Forssén, C., Mårtensson-Pendrill, A.M.: Hyperfine structure of hydrogenlike thallium isotopes. Phys. Rev. A 64, 032506 (2001)
Shabaev, V.M., Artemyev, A.N., Yerokhin, V.A., Zherebtsov, O.M., Soff, G.: Towards a test of QED in investigations of the hyperfine splitting in heavy ions. Phys. Rev. Lett. 86, 3959 (2001)
Hannen, V., Anielski, D., Geppert, C., Jöhren, R., Kühl, T., Lochmann, M., López-Coto, R., Nörtershäuser, W., Ortjohann, H.W., Sánchez, R., Vollbrecht, J., Weinheimer, C., Winters, D.F.A.: Detection system for forward emitted photons at the experimental storage ring at GSI. J. Instrum. 8(09), P09018 (2013)
Lochmann, M., Jöhren, R., Geppert, C., Andelkovic, Z., Anielski, D., Botermann, B., Bussmann, M., Dax, A., Frömmgen, N., Hammen, M., Hannen, V., Kühl, T., Litvinov, Y.A., Lopez-Coto, R., Stöhlker, T., Thompson, R.C., Vollbrecht, J., Volotka, A., Weinheimer, C., Wen, W., Will, E., Winters, D., Sanchez, R., Nörtershäuser, W.: Observation of the hyperfine transition in lithium-like bismuth 209Bi80+: towards a test of QED in strong magnetic fields. Phys. Rev. A 90(3), 030501 (2014)
Ullmann, J., Andelkovic, Z., Brandau, C., Dax, A., Geithner, W., Geppert, C., Gorges, C., Hammen, M., Hannen, V., Kaufmann, S., König, K., Litvinov, Y., Lochmann, M., Maaß, B., Meisner, J., Murböck, T., Sánchez, R., Schmidt, M., Schmidt, S., Steck, M., Stöhlker, T., Thompson, R., Trageser, C., Vollbrecht, J., Weinheimer, C., Nörtershäuser, W.: High precision hyperfine measurements in Bismuth challenge bound-state strong-field QED. Nat. Commun. 8, 15484 (2017)
Sánchez, R., Lochmann, M., Jöhren, R., Andelkovic, Z., Anielski, D., Botermann, B., Bussmann, M., Dax, A., Frömmgen, N., Geppert, C., Hammen, M., Hannen, V., Kühl, T., Litvinov, Y.A., López-Coto, R., Stöhlker, T., Thompson, R.C., Vollbrecht, J., Wen, W., Weinheimer, C., Will, E., Winters, D., Nörtershäuser, W.: Laser spectroscopy measurement of the 2s -hyperfine splitting in lithium-like bismuth. J. Phys. B Atomic Mol. Phys. 50(8), 085004 (2017)
Ullmann, J., Andelkovic, Z., Dax, A., Geithner, W., Geppert, C., Gorges, C., Hammen, M., Hannen, V., Kaufmann, S., König, K., Litvinov, Y., Lochmann, M., Maass, B., Meisner, J., Murböck, T., Sánchez, R., Schmidt, M., Schmidt, S., Steck, M., Stöhlker, T., Thompson, R.C., Vollbrecht, J., Weinheimer, C., Nörtershäuser, W.: An improved value for the hyperfine splitting of hydrogen-like 209Bi82+. J. Phys. B: At. Mol. Phys. 48(14), 144022 (2015)
Raghavan, P.: Table of nuclear moments. At. Data Nucl. Data Tables 42(2), 189 (1989)
Skripnikov, L.V., Schmidt, S., Ullmann, J., Geppert, C., Kraus, F., Kresse, B., Nörtershäuser, W., Privalov, A.F., Scheibe, B., Shabaev, V.M., Vogel, M., Volotka, A.V.: New nuclear magnetic moment of 209Bi: resolving the bismuth hyperfine puzzle. Phys. Rev. Lett. 120, 093001 (2018)
Sen’kov, R., Dmitriev, V.: Nuclear magnetization distribution and hyperfine splitting in Bi82+ ion. Nucl. Phys. A 706, 351 (2002)
Volotka, A.V., Glazov, D.A., Andreev, O.V., Shabaev, V.M., Tupitsyn, I.I., Plunien, G.: Test of many-electron QED effects in the hyperfine splitting of heavy high-Z ions. Phys. Rev. Lett. 108(7), 073001 (2012)
Fedotov, M.A., Yukhin, Y.M., Shubin, A.A., Udalova, T.A., Neorg, Z.h.: Study of the structure of di-2-ethylhexylphosphate of tetrahydroxotetraoxohexabismuthate (III) by NMR 31P, 17O, 209?i method. Khim. 43, 307 (1998)
Naslund, J., Persson, I., Sandstrom, M.: Solvation of the Bismuth(III) ion by water, dimethyl sulfoxide, N,N’-Dimethylpropyleneurea, and N,N-Dimethylthioformamide. An EXAFS, large-angle X-ray scattering, and crystallographic structural study. Inorg. Chem. 39(18), 4012 (2000)
Morgan, K., Sayer, B.G., Schrobilgen, G.J.: Bismuth NMR spectroscopy: 209Bi and 19F high-resolution NMR spectra of the hexafluorobismuthate(V) Ion. J. Magn. Reson. (1969) 52(1), 139 (1983)
Kluge, H.J., Beier, T., Blaum, K., Dahl, L., Eliseev, S., Herfurth, F., Hofmann, B., Kester, O., Koszudowski, S., Kozhuharov, C., Maero, G., Nörtershäuser, W., Pfister, J., Quint, W., Ratzinger, U., Schempp, A., Schuch, R., Stöhlker, T., Thompson, R., Vogel, M., Vorobjev, G., Winters, D., Werth, G.: HITRAP: a facility at GSI for highly charged ions. Adv. Quantum Chem. 53, 83 (2008)
von Lindenfels, D., Wiesel, M., Glazov, D.A., Volotka, A.V., Sokolov, M.M., Shabaev, V.M., Plunien, G., Quint, W., Birkl, G., Martin, A., Vogel, M.: Experimental access to higher-order Zeeman effects by precision spectroscopy of highly charged ions in a penning trap. Phys. Rev. A 87, 023412 (2013)
Andelkovic, Z., Cazan, R., Nörtershäuser, W., Bharadia, S., Segal, D.M., Thompson, R.C., Jöhren, R., Vollbrecht, J., Hannen, V., Vogel, M.: Laser cooling of externally produced Mg ions in a Penning trap for sympathetic cooling of highly charged ions. Phys. Rev. A 87, 033423 (2013)
Schmidt, S., Billowes, J., Bissell, M., Blaum, K., Ruiz, R.G., Heylen, H., Malbrunot-Ettenauer, S., Neyens, G., Nörtershäuser, W., Plunien, G., Sailer, S., Shabaev, V., Skripnikov, L., Tupitsyn, I., Volotka, A., Yang, X.: The nuclear magnetic moment of 208Bi and its relevance for a test of bound-state strong-field QED. Phys. Lett. B 779, 324 (2018)
Acknowledgements
We acknowledge financial support from the German Ministry for Education and Research under grants 05P15RDFAA, 05P12PMFAE, 05P15PMFAA 06GI947 and 05P12R6FAN, the Helmholtz-Association under contract HGF-IVF-HCJRG-108 and the Helmholtz International Centre for FAIR (HIC for FAIR) within the LOEWE program by the federal state Hesse. M.L., C.T. and J.U. acknowledge support from HGS-HiRe. Calculations were funded by the Foundation for the advancement of theoretical physics and mathematics “BASIS” grant according to the research project No. 18-1-3-55-1 and also by the President of Russian Federation Grant No. MK-2230.2018.2. This work was also supported by SPSU (Grants No. 11.38.237.2015) and by SPSU-DFG (Grants No. 11.65.41.2017 and No. STO 346/5-1).
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This article is part of the Topical Collection on Proceedings of the 7th International Conference on Trapped Charged Particles and Fundamental Physics (TCP 2018), Traverse City, Michigan, USA, 30 September-5 October 2018
Edited by Ryan Ringle, Stefan Schwarz, Alain Lapierre, Oscar Naviliat-Cuncic, Jaideep Singh and Georg Bollen
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Nörtershäuser, W., Ullmann, J., Skripnikov, L.V. et al. The hyperfine puzzle of strong-field bound-state QED. Hyperfine Interact 240, 51 (2019). https://doi.org/10.1007/s10751-019-1569-8
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DOI: https://doi.org/10.1007/s10751-019-1569-8