- Open Access
Improved constraints on exotic electron-proton interactions in hydrogen
Phys. Rev. A 112, 052824 – Published 20 November, 2025
DOI: https://doi.org/10.1103/8nyk-sysy
Abstract
Atomic spectroscopy provides a sensitive tool for searching for new bosons that mediate exotic forces between elementary fermions. A comparison between a recent high-precision measurement [Bullis et al., Phys. Rev. Lett. 130, 203001 (2023)] of the hyperfine splitting of the electronic level in hydrogen and up-to-date bound-state quantum electrodynamics calculations yields improved constraints on electron-proton exotic interactions. These are expressed in terms of the dimensionless coupling strengths , and , corresponding to the exchange of axial-vector, pseudoscalar (axionlike), and vector bosons, respectively. Building on these results, our analysis highlights the importance of examining combinations of spin-dependent potentials that contribute to the same class of exotic interactions. In particular, we employ the combination for both axial-vector–axial-vector and vector-vector couplings. These findings motivate further precision measurements toward spin-dependent exotic interactions.
Physics Subject Headings (PhySH)
Article Text
References (52)
- M. S. Safronova, D. Budker, D. DeMille, Derek F. Jackson Kimball, A. Derevianko, and C. W. Clark, Rev. Mod. Phys. 90, 025008 (2018).
- M. Jiao, M. Guo, X. Rong, Y.-F. Cai, and J. Du, Phys. Rev. Lett. 127, 010501 (2021).
- W. Ji, W. Li, P. Fadeev, F. Ficek, J. Qin, K. Wei, Y.-C. Liu, and D. Budker, Phys. Rev. Lett. 130, 133202 (2023).
- Z. Xu, X. Heng, G. Tian, D. Gong, L. Cong, W. Ji, D. Budker, and K. Wei, Phys. Rev. Lett. 134, 181801 (2025).
- B. R. Heckel, W. A. Terrano, and E. G. Adelberger, Phys. Rev. Lett. 111, 151802 (2013).
- S. G. Karshenboim, Phys. Rev. A 83, 062119 (2011).
- F. Ficek, Derek F. Jackson Kimball, M. G. Kozlov, N. Leefer, S. Pustelny, and D. Budker, Phys. Rev. A 95, 032505 (2017).
- F. Ficek, P. Fadeev, V. V. Flambaum, D. F. Jackson Kimball, M. G. Kozlov, Y. V. Stadnik, and D. Budker, Phys. Rev. Lett. 120, 183002 (2018).
- P. Fadeev, F. Ficek, M. G. Kozlov, D. Budker, and V. V. Flambaum, Phys. Rev. A 105, 022812 (2022).
- J. E. Moody and F. Wilczek, Phys. Rev. D 30, 130 (1984).
- B. A. Dobrescu and I. Mocioiu, J. High Energy Phys. 11 (2006) 005.
- P. Fadeev, Y. V. Stadnik, F. Ficek, M. G. Kozlov, V. V. Flambaum, and D. Budker, Phys. Rev. A 99, 022113 (2019).
- L. Cong, W. Ji, P. Fadeev, F. Ficek, M. Jiang, V. V. Flambaum, H. Guan, D. F. Jackson Kimball, M. G. Kozlov, Y. V. Stadnik, and D. Budker, Rev. Mod. Phys. 97, 025005 (2025).
- L. Cong, F. Ficek, P. Fadeev, Y. V. Stadnik, and D. Budker, arXiv:2503.07161.
- R. G. Bullis, C. Rasor, W. L. Tavis, S. A. Johnson, M. R. Weiss, and D. C. Yost, Phys. Rev. Lett. 130, 203001 (2023).
- S. Weinberg, Phys. Rev. Lett. 40, 223 (1978).
- F. Wilczek, Phys. Rev. Lett. 40, 279 (1978).
- J. E. Kim, Phys. Rev. Lett. 43, 103 (1979).
- A. R. Zhitnitsky, Yad. Fiz. 31, 497 (1980) [Sov. J. Nucl. Phys. 31, 260 (1980)].
- M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, Nucl. Phys. B 166, 493 (1980).
- M. Dine, W. Fischler, and M. Srednicki, Phys. Lett. B 104, 199 (1981).
- J. Jaeckel and A. Ringwald, Annu. Rev. Nucl. Part. Sci. 60, 405 (2010).
- A. Arvanitaki, S. Dimopoulos, S. Dubovsky, N. Kaloper, and J. March-Russell, Phys. Rev. D 81, 123530 (2010).
- P. Langacker, Rev. Mod. Phys. 81, 1199 (2009).
- L. B. Okun, Zh. Eksp. Teor. Fiz. 83, 892 (1982); JETP 56, 502 (1982).
- B. Holdom, Phys. Lett. B 166, 196 (1986).
- T. Appelquist, B. A. Dobrescu, and A. R. Hopper, Phys. Rev. D 68, 035012 (2003).
- B. A. Dobrescu, Phys. Rev. Lett. 94, 151802 (2005).
- J. Preskill, M. B. Wise, and F. Wilczek, Phys. Lett. B 120, 127 (1983).
- L. F. Abbott and P. Sikivie, Phys. Lett. B 120, 133 (1983).
- M. Dine and W. Fischler, Phys. Lett. B 120, 137 (1983).
- Y. K. Semertzidis and S. Youn, Sci. Adv. 8, eabm9928 (2022).
- F. Chadha-Day, J. Ellis, and D. J. Marsh, Sci. Adv. 8, eabj3618 (2022).
- D. F. Jackson Kimball and K. van Bibber (eds.), The Search for Ultralight Bosonic Dark Matter (Springer International Publishing, Cham, 2023).
- R. D. Peccei and H. R. Quinn, Phys. Rev. D 16, 1791 (1977).
- R. D. Peccei and H. R. Quinn, Phys. Rev. Lett. 38, 1440 (1977).
- M. I. Eides, H. Grotch, and V. A. Shelyuto, Phys. Rep. 342, 63 (2001).
- S. G. Karshenboim and V. G. Ivanov, Phys. Lett. B 524, 259 (2002).
- S. G. Karshenboim and V. G. Ivanov, Eur. Phys. J. D. 19, 13 (2002).
- V. A. Yerokhin and U. D. Jentschura, Phys. Rev. Lett. 100, 163001 (2008).
- S. G. Karshenboim, Phys. Rep. 422, 1 (2005).
- C. Quint, F. Heiße, J. Jaeckel, L. Leimenstoll, C. H. Keitel, and Z. Harman, arXiv:2506.03274v1.
- S. G. Karshenboim and V. G. Ivanov, Can. J. Phys. 83, 1063 (2005).
- S. G. Karshenboim, S. I. Eidelman, P. Fendel, V. G. Ivanov, N. N. Kolachevsky, V. A. Shelyuto, and T. W. Hänsch, Nucl. Phys. B 162, 260 (2006).
- H. Hellwig, R. F. C. Vessot, M. W. Levine, P. W. Zitzewitz, D. W. Allan, and D. J. Glaze, IEEE Trans. Instrum. Meas. 19, 200 (1970).
- P. Fadeev, Neue Eichbosonen und wo Man sie Findet, Master's thesis, Johannes Gutenberg-Universität Mainz, Helmholtz-Institut Mainz, 2018.
- L. Hunter, J. Gordon, S. Peck, D. Ang, and J.-F. Lin, Science 339, 928 (2013).
- L. R. Hunter and D. G. Ang, Phys. Rev. Lett. 112, 091803 (2014).
- L. Cong, D. F. J. Kimball, M. G. Kozlov, and D. Budker, arXiv:2408.15442.
- M. Rini, Physics 16, s72 (2023).
- L. Cong, Improved constraints on exotic electron-proton interactions in hydrogen [Data set], Zenodo (2025), https://doi.org/10.5281/zenodo.15492351.
- L. Cong, Lei-Cong/Spin-Dependent-5th-Force-Limits: v3.2, Zenodo (2025), https://doi.org/10.5281/zenodo.14572652.