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  • Letter
  • Open Access

Optical transitions near the elusive 5s−4f level crossing in highly charged osmium with sensitivity to physics beyond the standard model

Nils-Holger Rehbehn1, Lakshmi Priya Kozhiparambil Sajith1,2, Michael K. Rosner1, Charles Cheung3, Sergey G. Porsev3, Marianna S. Safronova3, Steven Worm2, Dmitry Budker4,5,6,7, Thomas Pfeifer1 et al.

José R. Crespo López-Urrutia1,* and Hendrik Bekker4,5,6,†

  • *Contact author: crespojr@mpi-hd.mpg.de
  • †Contact author: hbekker@uni-mainz.de

Phys. Rev. A 112, L061101 – Published 5 December, 2025

DOI: https://doi.org/10.1103/p347-47ys

Abstract

Optical transitions in highly charged ions can be very sensitive to hypothetical beyond-the-standard-model phenomena. Those near the degeneracy due to the 5s−4f level crossing are especially promising. We present measurements of Os15,16,17+ ions at an electron beam ion trap and corresponding predictions of several transitions that show a high sensitivity to hypothetical fifth forces and possible violations of local Lorentz invariance. We found electric quadrupole transitions in Os16+, which are suitable for frequency metrology due to linewidths down to 44µHz. Our calculations show the need for including enough inner-shell excitations to avoid an overestimation of interconfiguration transition rates, which were too faint for detection at the present signal-to-noise ratio.

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References (41)

  1. P. O. Schmidt, T. Rosenband, C. Langer, W. M. Itano, J. C. Bergquist, and D. J. Wineland, Spectroscopy using quantum logic, Science 309, 749 (2005).
  2. S. A. Diddams, D. J. Jones, J. Ye, S. T. Cundiff, J. L. Hall, J. K. Ranka, R. S. Windeler, R. Holzwarth, T. Udem, and T. W. Hänsch, Direct link between microwave and optical frequencies with a 300 THz femtosecond laser comb, Phys. Rev. Lett. 84, 5102 (2000).
  3. R. Holzwarth, T. Udem, T. W. Hänsch, J. C. Knight, W. J. Wadsworth, and P. S. J. Russell, Optical frequency synthesizer for precision spectroscopy, Phys. Rev. Lett. 85, 2264 (2000).
  4. L. Schmöger, O. O. Versolato, M. Schwarz, M. Kohnen, A. Windberger, B. Piest, S. Feuchtenbeiner, J. Pedregosa-Gutierrez, T. Leopold, P. Micke, A. K. Hansen, T. M. Baumann, M. Drewsen, J. Ullrich, P. O. Schmidt, and J. R. C. López-Urrutia, Coulomb crystallization of highly charged ions, Science 347, 1233 (2015).
  5. S. Chen, Z. Zhou, G. Zhang, J. Xiao, Y. Huang, and H. Guan, Coulomb crystallization of highly charged Ni12+ ions in a linear paul trap, Phys. Rev. A (2025).
  6. A. D. Ludlow, M. M. Boyd, J. Ye, E. Peik, and P. O. Schmidt, Optical atomic clocks, Rev. Mod. Phys. 87, 637 (2015).
  7. P. Micke, T. Leopold, S. A. King, E. Benkler, L. J. Spieß, L. Schmöger, M. Schwarz, J. R. Crespo López-Urrutia, and P. O. Schmidt, Coherent laser spectroscopy of highly charged ions using quantum logic, Nature (London) 578, 60 (2020).
  8. S. A. King, L. J. Spieß, P. Micke, A. Wilzewski, T. Leopold, J. R. Crespo López-Urrutia, and P. O. Schmidt, Algorithmic ground-state cooling of weakly coupled oscillators using quantum logic, Phys. Rev. X 11, 041049 (2021).
  9. S. A. King, L. J. Spieß, P. Micke, A. Wilzewski, T. Leopold, E. Benkler, R. Lange, N. Huntemann, A. Surzhykov, V. A. Yerokhin, J. R. Crespo López-Urrutia, and P. O. Schmidt, An optical atomic clock based on a highly charged ion, Nature (London) 611, 43 (2022).
  10. C. Cheung, S. G. Porsev, D. Filin, M. S. Safronova, M. Wehrheim, L. J. Spieß, S. Chen, A. Wilzewski, J. R. Crespo López-Urrutia, and P. O. Schmidt, Finding the ultranarrow P32→P30 electric quadrupole transition in Ni12+ ion for an optical clock, Phys. Rev. Lett. 135, 093002 (2025).
  11. S. Chen, L. J. Spieß, A. Wilzewski, M. Wehrheim, K. Dietze, I. Vybornyi, K. Hammerer, J. R. Crespo López-Urrutia, and P. O. Schmidt, Identification of highly forbidden optical transitions in highly charged ions, Phys. Rev. Appl. 22, 054059 (2024).
  12. A. Wilzewski, L. J. Spieß, M. Wehrheim, S. Chen, S. A. King, P. Micke, M. Filzinger, M. R. Steinel, N. Huntemann, L. I. Huber, J. Flannery, R. Matt, M. Stadler, R. Oswald, F. Schmid, D. Kienzler, J. Home, D. P. L. A. Craik et al., Nonlinear calcium King plot constrains new bosons and nuclear properties, Phys. Rev. Lett. 134, 233002 (2025).
  13. L. J. Spieß, S. Chen, A. Wilzewski, M. Wehrheim, J. Gilles, A. Surzhykov, E. Benkler, M. Filzinger, M. Steinel, N. Huntemann, C. Cheung, S. G. Porsev, A. I. Bondarev, M. S. Safronova, J. R. Crespo López-Urrutia, and P. O. Schmidt, Excited-state magnetic properties of carbon-like Ca14+, Phys. Rev. Lett. 135, 043002 (2025).
  14. M. G. Kozlov, M. S. Safronova, J. R. Crespo López-Urrutia, and P. O. Schmidt, Highly charged ions: Optical clocks and applications in fundamental physics, Rev. Mod. Phys. 90, 045005 (2018).
  15. J. C. Berengut, D. Budker, C. Delaunay, V. V. Flambaum, C. Frugiuele, E. Fuchs, C. Grojean, R. Harnik, R. Ozeri, G. Perez, and Y. Soreq, Probing new long-range interactions by isotope shift spectroscopy, Phys. Rev. Lett. 120, 091801 (2018).
  16. N.-H. Rehbehn, M. K. Rosner, H. Bekker, J. C. Berengut, P. O. Schmidt, S. A. King, P. Micke, M. F. Gu, R. Müller, A. Surzhykov, and J. R. Crespo López-Urrutia, Sensitivity to new physics of isotope-shift studies using the coronal lines of highly charged calcium ions, Phys. Rev. A 103, L040801 (2021).
  17. N.-H. Rehbehn, M. K. Rosner, J. C. Berengut, P. O. Schmidt, T. Pfeifer, M. F. Gu, and J. R. Crespo López-Urrutia, Narrow and ultranarrow transitions in highly charged Xe ions as probes of fifth forces, Phys. Rev. Lett. 131, 161803 (2023).
  18. J. C. Berengut, V. A. Dzuba, and V. V. Flambaum, Enhanced laboratory sensitivity to variation of the fine-structure constant using highly charged ions, Phys. Rev. Lett. 105, 120801 (2010).
  19. J. C. Berengut, V. A. Dzuba, V. V. Flambaum, and A. Ong, Electron-Hole transitions in multiply charged ions for precision laser spectroscopy and searching for variations in α, Phys. Rev. Lett. 106, 210802 (2011).
  20. J. C. Berengut, V. A. Dzuba, V. V. Flambaum, and A. Ong, Highly charged ions with E1, M1, and E2 transitions within laser range, Phys. Rev. A 86, 022517 (2012).
  21. D. K. Nandy and B. K. Sahoo, Highly charged W13+, Ir16+, and Pt17+ ions as promising optical clock candidates for probing variations of the fine-structure constant, Phys. Rev. A 94, 032504 (2016).
  22. A. Windberger, J. R. Crespo López-Urrutia, H. Bekker, N. S. Oreshkina, J. C. Berengut, V. Bock, A. Borschevsky, V. A. Dzuba, E. Eliav, Z. Harman, U. Kaldor, S. Kaul, U. I. Safronova, V. V. Flambaum, C. H. Keitel, P. O. Schmidt, J. Ullrich, and O. O. Versolato, Identification of the predicted 5s−4f level crossing optical lines with applications to metrology and searches for the variation of fundamental constants, Phys. Rev. Lett. 114, 150801 (2015).
  23. U. I. Safronova, V. V. Flambaum, and M. S. Safronova, Transitions between the 4f-core-excited states in Ir16+,Ir17+, and Ir18+ ions for clock applications, Phys. Rev. A 92, 022501 (2015),.
  24. H. X. Liu, Y. M. Yu, B. B. Suo, Y. F. Ge, and Y. Liu, Relativistic configuration-interaction and coupled-cluster calculations of Ir17+ transition energies and properties for optical clock applications, Phys. Rev. A 111, 053107 (2025).
  25. C. Cheung, M. S. Safronova, S. G. Porsev, M. G. Kozlov, I. I. Tupitsyn, and A. I. Bondarev, Accurate prediction of clock transitions in a highly charged ion with complex electronic structure, Phys. Rev. Lett. 124, 163001 (2020).
  26. V. A. Dzuba and V. V. Flambaum, Os16+ and Ir17+ ions as candidates for accurate optical clocks sensitive to physics beyond the standard model, Phys. Rev. A 108, 053111 (2023).
  27. J. C. Berengut, C. Delaunay, A. Geddes, and Y. Soreq, Generalized King linearity and new physics searches with isotope shifts, Phys. Rev. Res. 2, 043444 (2020).
  28. C. Cheung, M. G. Kozlov, S. G. Porsev, M. S. Safronova, I. I. Tupitsyn, and A. I. Bondarev, pCI: A parallel configuration interaction software package for high-precision atomic structure calculations, Comput. Phys. Commun. 308, 109463 (2025).
  29. P. Knowles and N. Handy, A new determinant-based full configuration interaction method, Chem. Phys. Lett. 111, 315 (1984).
  30. See Supplemental Material at http://link.aps.org/supplemental/10.1103/p347-47ys for details of computations for Os16+.
  31. M. A. Levine, R. E. Marrs, J. R. Henderson, D. A. Knapp, and M. B. Schneider, The electron beam ion trap: A new instrument for atomic physics measurements, Phys. Scr. T22, 157 (1988).
  32. M. A. Levine, R. E. Marrs, J. N. Bardsley, P. Beiersdorfer, C. L. Bennett, M. H. Chen, T. Cowan, D. Dietrich, J. R. Henderson, D. A. Knapp, A. Osterheld, B. M. Penetrante, M. B. Schneider, and J. H. Scofield, The use of an electron beam ion trap in the study of highly charged ions, Nucl. Instrum. Meth. Phys. Res. B 43, 431 (1989).
  33. J. R. Crespo López-Urrutia, A. Dorn, R. Moshammer, and J. Ullrich, The Freiburg electron beam ion trap/source project FreEBIT, Phys. Scr. T80, 502 (1999).
  34. I. Draganić, J. R. Crespo López-Urrutia, R. DuBois, S. Fritzsche, V. M. Shabaev, R. S. Orts, I. I. Tupitsyn, Y. Zou, and J. Ullrich, High precision wavelength measurements of QED-sensitive forbidden transitions in highly charged argon ions, Phys. Rev. Lett. 91, 183001 (2003).
  35. R. S. Orts, Z. Harman, J. R. Crespo López-Urrutia, A. N. Artemyev, H. Bruhns, A. J. G. Martínez, U. D. Jentschura, C. H. Keitel, A. Lapierre, V. Mironov, V. M. Shabaev, H. Tawara, I. I. Tupitsyn, J. Ullrich, and A. V. Volotka, Exploring relativistic many-body recoil effects in highly charged ions, Phys. Rev. Lett. 97, 103002 (2006).
  36. H. Bekker, C. Hensel, A. Daniel, A. Windberger, T. Pfeifer, and J. R. Crespo López-Urrutia, Laboratory precision measurements of optical emissions from coronal iron, Phys. Rev. A 98, 062514 (2018).
  37. H. Bekker, A. Borschevsky, Z. Harman, C. H. Keitel, T. Pfeifer, P. O. Schmidt, J. R. Crespo López-Urrutia, and J. C. Berengut, Detection of the 5p–4f orbital crossing and its optical clock transition in Pr9+, Nature Commun. 10, 5651 (2019).
  38. M. K. Rosner, N.-H. Rehbehn, and J. R. Crespo López-Urrutia, Experimental and theoretical Ritz–Rydberg analysis of the electronic structure of highly charged ions of lead and bismuth by optical spectroscopy, J. Phys. B 57, 055001 (2024).
  39. E. Kahl and J. Berengut, ambit: A programme for high-precision relativistic atomic structure calculations, Comput. Phys. Commun. 238, 232 (2019).
  40. M. F. Gu, The flexible atomic code, Can. J. Phys. 86, 675 (2008).
  41. H. Bekker, O. O. Versolato, A. Windberger, N. S. Oreshkina, R. Schupp, T. M. Baumann, Z. Harman, C. H. Keitel, P. O. Schmidt, J. Ullrich, and J. R. Crespo López-Urrutia, Identifications of 5s1/2−5p3/2 and 5s2−5s5p EUV transitions of promethium-like Pt, Ir, Os, and Re, J. Phys. B: At. Mol. Opt. Phys. 48, 144018 (2015).

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