Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Letter
  • Open Access

Three-body QED test and fifth-force constraint from vibrations and rotations of HD+

M. Germann1,*, S. Patra1,†, J.-Ph. Karr2,3, L. Hilico2,3, V. I. Korobov4, E. J. Salumbides1, K. S. E. Eikema1, W. Ubachs1, and J. C. J. Koelemeij1,‡

  • 1LaserLaB, Department of Physics and Astronomy, Vrije Universiteit Amsterdam, De Boelelaan 1081, 1081 HV Amsterdam, The Netherlands
  • 2Laboratoire Kastler Brossel, Sorbonne Université, CNRS, ENS-PSL Research University, Collège de France, 4 place Jussieu, 75005 Paris, France
  • 3Université d'Evry-Val d'Essonne, Université Paris-Saclay, Boulevard François Mitterrand, 91000 Evry, France
  • 4Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna 141980, Russia

  • *Present address: Department of Physics, Umeå University, 901 87 Umeå, Sweden.
  • †Present address: Time and Frequency Division, National Institute of Standards and Technology, Boulder, Colorado 80305, USA.
  • ‡j.c.j.koelemeij@vu.nl

Phys. Rev. Research 3, L022028 – Published 28 June, 2021

DOI: https://doi.org/10.1103/PhysRevResearch.3.L022028

Abstract

We present a parts-per-million test of quantum electrodynamics (QED) in the HD+ molecular hydrogen ion, improving on previous tests based on vibrational and rotational transitions by factors of 76 and 1.4, respectively. The test is performed following a unified statistical approach that also produces improved constraints on physics beyond the standard model. We furthermore show how individual constraints derived from the various degrees of freedom in HD+ and antiprotonic helium can be combined to enhance the sensitivity, thus ruling out “fifth forces” on the Ångstrom scale that are 1011 times weaker than the electromagnetic interaction.

View figure in article

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (45)

  1. M. S. Safronova, D. Budker, D. DeMille, Derek F. Jackson Kimball, A. Derevianko, and C. W. Clark, Search for new physics with atoms and molecules, Rev. Mod. Phys. 90, 025008 (2018).
  2. D. Hanneke, S. Fogwell, and G. Gabrielse, New Measurement of the Electron Magnetic Moment and the Fine Structure Constant, Phys. Rev. Lett. 100, 120801 (2008).
  3. R. H. Parker, C. Yu, W. Zhong, B. Estey, and H. Müller, Measurement of the fine-structure constant as a test of the standard model, Science 360, 191 (2018).
  4. L. Morel, Z. Yao, P. Cladé, and S. Guellati-Khélifa, Determination of the fine-structure constant with 81 parts-per-trillion accuracy, Nature (London) 588, 61 (2020).
  5. A. Matveev, C. G. Parthey, K. Predehl, J. Alnis, A. Beyer, R. Holzwarth, T. Udem, T. Wilken, N. Kolachevsky, M. Abgrall, D. Rovera, C. Salomon, P. Laurent, G. Grosche, O. Terra, T. Legero, H. Schnatz, S. Weyers, B. Altschul, and T. W. Hänsch, Precision Measurement of the Hydrogen 1S–2S Frequency via a 920-km Fiber Link, Phys. Rev. Lett. 110, 230801 (2013).
  6. V. A. Yerokhin, K. Pachucki, and V. Patkos, Theory of the Lamb shift in hydrogen and light hydrogen-like ions, Ann. Phys. (Berlin) 531, 1800324 (2019).
  7. E. J. Salumbides, J. C. J. Koelemeij, J. Komasa, K. Pachucki, K. S. E. Eikema, and W. Ubachs, Bounds on fifth forces from precision measurements on molecules, Phys. Rev. D 87, 112008 (2013).
  8. S. Alighanbari, G. S. Giri, F. L. Constantin, V. I. Korobov, and S. Schiller, Precise test of quantum electrodynamics and determination of fundamental constants with HD+ ions, Nature (London) 581, 152 (2020).
  9. S. Patra, M. Germann, J.-Ph. Karr, M. Haidar, L. Hilico, V. I. Korobov, F. M. J. Cozijn, K. S. E. Eikema, W. Ubachs, and J. C. J. Koelemeij, Proton-electron mass ratio from laser spectroscopy of HD+ at the part-per-trillion level, Science 369, 1238 (2020).
  10. S. Sturm, F. Köhler, J. Zatorski, A. Wagner, Z. Harman, G. Werth, W. Quint, C. H. Keitel, and K. Blaum, High-precision measurement of the atomic mass of the electron, Nature (London) 506, 467 (2014).
  11. F. Heiße, F. Köhler-Langes, S. Rau, J. Hou, S. Junck, A. Kracke, A. Mooser, W. Quint, S. Ulmer, G. Werth, K. Blaum, and S. Sturm, High-Precision Measurement of the Proton's Atomic Mass, Phys. Rev. Lett. 119, 033001 (2017).
  12. F. Heiße, S. Rau, F. Köhler-Langes, W. Quint, G. Werth, S. Sturm, and K. Blaum, High-precision mass spectrometer for light ions, Phys. Rev. A 100, 022518 (2019).
  13. D. J. Fink and E. G. Myers, Deuteron-to-Proton Mass Ratio from the Cyclotron Frequency Ratio of H2+ to D+ with H2+ in a Resolved Vibrational State, Phys. Rev. Lett. 124, 013001 (2020).
  14. S. Rau, F. Heiße, S. Köhler-Langes, F. Sasidharan, R. Haas, D. Renisch, C. E. Düllmann, W. Quint, S. Sturm, and K. Blaum, Penning trap mass measurements of the deuteron and the HD+ molecular ion, Nature (London) 585, 43 (2020).
  15. M. Hori, A. Sótér, D. Barna, A. Dax, R. Hayano, S. Friedreich, B. Juhász, T. Pask, E. Widmann, D. Horváth, L. Venturelli, and N. Zurlo, Two-photon laser spectroscopy of antiprotonic helium and the antiproton-to-electron mass ratio, Nature (London) 475, 484 (2011).
  16. M. Hori, H. Aghai-Khozani, A. Sótér, D. Barna, A. Dax, R. Hayano, T. Kobayashi, Y. Murakami, K. Todoroki, H. Yamada, D. Horváth, and L. Venturelli, Buffer-gas cooling of antiprotonic helium to 1.5 to 1.7 K, and antiproton-to-electron mass ratio, Science 354, 610 (2016).
  17. U. Bressel, A. Borodin, J. Shen, M. Hansen, I. Ernsting, and S. Schiller, Manipulation of Individual Hyperfine States in Cold Trapped Molecular Ions and Application to HD+ Frequency Metrology, Phys. Rev. Lett. 108, 183003 (2012).
  18. J. C. J. Koelemeij, B. Roth, A. Wicht, I. Ernsting, and S. Schiller, Vibrational Spectroscopy of HD+ with 2-ppb Accuracy, Phys. Rev. Lett. 98, 173002 (2007).
  19. J. Biesheuvel, J.-Ph. Karr, L. Hilico, K. S. E. Eikema, W. Ubachs, and J. C. J. Koelemeij, Probing QED and fundamental constants through laser spectroscopy of vibrational transitions in HD+, Nat. Commun. 7, 10385 (2016).
  20. J. Biesheuvel, J.-Ph. Karr, L. Hilico, K. S. E. Eikema, W. Ubachs, and J. C. J. Koelemeij, High-precision spectroscopy of the HD+ molecule at the 1-p.p.b. level, Appl. Phys. B Lasers Opt. 123, 23 (2017).
  21. S. Alighanbari, M. G. Hansen, V. I. Korobov, and S. Schiller, Rotational spectroscopy of cold and trapped molecular ions in the Lamb-Dicke regime, Nat. Phys. 14, 555 (2018).
  22. V. I. Korobov, L. Hilico, and J.-Ph. Karr, Fundamental Transitions and Ionization Energies of the Hydrogen Molecular Ions with Few ppt Uncertainty, Phys. Rev. Lett. 118, 233001 (2017).
  23. D. T. Aznabayev, A. K. Bekbaev, and V. I. Korobov, Leading-order relativistic corrections to the rovibrational spectrum of H2+ and HD+ molecular ions, Phys. Rev. A 99, 012501 (2019).
  24. I. V. Kortunov, S. Alighanbari, M. G. Hansen, G. S. Giri, V. I. Korobov, and S. Schiller, Proton-electron mass ratio by high-resolution optical spectroscopy of ion ensembles in the resolved-carrier regime, Nat. Phys. 17, 569 (2021).
  25. E. Tiesinga, P. J. Mohr, D. B. Newell, and B. N. Taylor, The 2018 CODATA recommended values of the fundamental physical constants (Web version 8.1), http://physics.nist.gov/constants.
  26. P. J. Mohr, D. B. Newell, and B. N. Taylor, CODATA recommended values of the fundamental physical constants: 2014, J. Phys. Chem. Ref. Data 45, 043102 (2016).
  27. R. Szafron, E. Y. Korzinin, V. A. Shelyuto, V. G. Ivanov, and S. G. Karshenboim, Virtual Delbrück scattering and the Lamb shift in light hydrogenlike atoms, Phys. Rev. A 100, 032507 (2019).
  28. S. G. Karshenboim, A. Ozawa, V. A. Shelyuto, R. Szafron, and V. G. Ivanov, The Lamb shift of the 1s state in hydrogen: Two-loop and three-loop contributions, Phys. Lett. B 795, 432 (2019).
  29. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.3.L022028 for updated frequency values and details on the theoretical calculation, hypothesis test, and combined constraints on NP.
  30. V. I. Korobov, Leading-order relativistic and radiative corrections to the rovibrational spectrum of H2+ and HD+ molecular ions, Phys. Rev. A 74, 052506 (2006).
  31. V. I. Korobov, Relativistic corrections of mα6 order to the rovibrational spectrum of H2+ and HD+ molecular ions, Phys. Rev. A 77, 022509 (2008).
  32. V. I. Korobov, Calculation of the nonrelativistic Bethe logarithm in the velocity gauge, Phys. Rev. A 85, 042514 (2012).
  33. V. I. Korobov, L. Hilico, and J.-P. Karr, Theoretical transition frequencies beyond 0.1 ppb accuracy in H2+, HD+, and antiprotonic helium, Phys. Rev. A 89, 032511 (2014).
  34. V. I. Korobov, Coulomb three-body bound-state problem: Variational calculations of nonrelativistic energies, Phys. Rev. A 61, 064503 (2000).
  35. J.-Ph. Karr, M. Haidar, L. Hilico, and V. I. Korobov, Precision calculations for three-body molecular bound states, in Recent Progress in Few-Body Physics, edited by N. A. Orr, M. Ploszajczak, F. M. Marques, and J. Carbonell, Springer Proceedings in Physics, Vol. 238 (Springer, Cham, 2020), pp. 75–81.
  36. V. I. Korobov, J.-P. Karr, M. Haidar, and Z.-X. Zhong, Hyperfine structure in the H2+ and HD+ molecular ions at order mα6, Phys. Rev. A 102, 022804 (2020).
  37. J.-Ph. Karr, M. Haidar, L. Hilico, Z.-X. Zhong, and V. I. Korobov, Higher-order corrections to spin-spin scalar interactions in HD+ and H2+, Phys. Rev. A 102, 052827 (2020).
  38. M. Borkowski, A. A. Buchachenko, R. Ciuryło, P. S. Julienne, H. Yamada, Y. Kikuchi, Y. Takasu, and Y. Takahashi, Weakly bound molecules as sensors of new gravity like forces, Sci. Rep. 9, 14807 (2019).
  39. N. Hölsch, M. Beyer, E. J. Salumbides, K. S. E. Eikema, W. Ubachs, C. Jungen, and F. Merkt, Benchmarking Theory with an Improved Measurement of the Ionization and Dissociation Energies of H2, Phys. Rev. Lett. 122, 103002 (2019).
  40. C. Delaunay, R. Ozeri, G. Perez, and Y. Soreq, Probing atomic Higgs-like forces at the precision frontier, Phys. Rev. D 96, 093001 (2017).
  41. C. Delaunay, C. Frugiuele, E. Fuchs, and Y. Soreq, Probing new spin-independent interactions through precision spectroscopy in atoms with few electrons, Phys. Rev. D 96, 115002 (2017).
  42. I. Counts, J. Hur, D. P. L. Aude Craik, H. Jeon, C. Leung, J. C. Berengut, A. Geddes, A. Kawasaki, W. Jhe, and V. Vuletić, Evidence for Nonlinear Isotope Shift in Yb+ Search for New Boson, Phys. Rev. Lett. 125, 123002 (2020).
  43. C. Solaro, S. Meyer, K. Fisher, J. C. Berengut, E. Fuchs, and M. Drewsen, Improved Isotope-Shift-Based Bounds on Bosons beyond the Standard Model through Measurements of the D23/2–D25/2 Interval in Ca+, Phys. Rev. Lett. 125, 123003 (2020).
  44. Y. Kamiya, K. Itagaki, M. Tani, G. N. Kim, and S. Komamiya, Constraints on New Gravitylike Forces in the Nanometer Range, Phys. Rev. Lett. 114, 161101 (2015).
  45. C. C. Haddock, N. Oi, K. Hirota, T. Ino, M. Kitaguchi, S. Matsumoto, K. Mishima, T. Shima, H. M. Shimizu, W. M. Snow, and T. Yoshioka, Search for deviations from the inverse square law of gravity at nm range using a pulsed neutron beam, Phys. Rev. D 97, 062002 (2018).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation