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Atomic parity violation in highly charged and ions
Phys. Rev. A 114, 012814 – Published 16 July, 2026
DOI: https://doi.org/10.1103/tcds-zmy1
Abstract
We calculate parity-violation-induced amplitudes for the and transitions in H- and Li-like ions of , and . In our analysis, we account for neutron skin effects and nuclear uncertainties for each nucleus. We consider the spin-independent weak-interaction contribution of the boson described by the standard model, as well as the effects of a hypothetical new boson of varying mass. We conclude that the neutron-skin corrections in the isotope pair can mostly be neglected when considering boson effects, which is an advantage for the search for new parity-violating physics. However, both the neutron skin effect and the sensitivity to hypothetical interactions in are shown to be significant.
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References (38)
- M.-A. Bouchiat and C. Bouchiat, Parity violation in atoms, Rep. Prog. Phys. 60, 1351 (1997).
- J. S. M. Ginges and V. V. Flambaum, Violations of fundamental symmetries in atoms and tests of unification theories of elementary particles, Phys. Rep. 397, 63 (2004).
- A. Derevianko and S. G. Porsev, Theoretical overview of atomic parity violation, Eur. Phys. J. A 32, 517 (2007).
- B. M. Roberts, V. A. Dzuba, and V. V. Flambaum, Parity and time-reversal violation in atomic systems, Annu. Rev. Nucl. Part. Sci. 65, 63 (2015).
- S. Navas et al. (Particle Data Group), Review of particle physics, Phys. Rev. D 110, 030001 (2024).
- M. S. Safronova, D. Budker, D. DeMille, D. F. J. Kimball, A. Derevianko, and C. W. Clark, Search for new physics with atoms and molecules, Rev. Mod. Phys. 90, 025008 (2018).
- V. A. Dzuba, V. V. Flambaum, and Y. V. Stadnik, Probing low-mass vector bosons with parity nonconservation and nuclear anapole moment measurements in atoms and molecules, Phys. Rev. Lett. 119, 223201 (2017).
- C. S. Wood, S. C. Bennett, D. Cho, B. P. Masterson, J. L. Roberts, C. E. Tanner, and C. E. Wieman, Measurement of parity nonconservation and an anapole moment in cesium, Science 275, 1759 (1997).
- D. Antypas, A. Fabricant, J. E. Stalnaker, K. Tsigutkin, V. V. Flambaum, and D. Budker, Isotopic variation of parity violation in atomic ytterbium, Nat. Phys. 15, 120 (2019).
- L. M. Barkov and M. S. Zolotorev, Parity violation in atomic bismuth, Phys. Lett. B 85, 308 (1979).
- M. W. Krasny, The Gamma Factory proposal for CERN, arXiv:1511.07794.
- J. Richter, A. V. Maiorova, A. V. Viatkina, D. Budker, and A. Surzhykov, Parity-violation studies with partially stripped ions, Ann. Phys. 534, 2100561 (2022).
- D. Budker, J. R. Crespo López-Urrutia, A. Derevianko, V. V. Flambaum, M. W. Krasny, A. Petrenko, S. Pustelny, A. Surzhykov, V. A. Yerokhin, and M. Zolotorev, Atomic physics studies at the Gamma Factory at CERN, Ann. Phys. (Leipzig) 532, 2000204 (2020).
- M. Thiel, C. Sfienti, J. Piekarewicz, C. J. Horowitz, and M. Vanderhaeghen, Neutron skins of atomic nuclei: Per aspera ad astra, J. Phys. G: Nucl. Part. Phys. 46, 093003 (2019).
- D. Adhikari et al. (CREX Collaboration), Precision determination of the neutral weak form factor of , Phys. Rev. Lett. 129, 042501 (2022).
- D. Adhikari et al. (PREX Collaboration), Accurate determination of the neutron skin thickness of through parity-violation in electron scattering, Phys. Rev. Lett. 126, 172502 (2021).
- J. Erler and S. Su, The weak neutral current, Prog. Part. Nucl. Phys. 71, 119 (2013).
- P. G. Blunden, W. Melnitchouk, and A. W. Thomas, box corrections to weak charges of heavy nuclei in atomic parity violation, Phys. Rev. Lett. 109, 262301 (2012).
- D. P. L. A. Craik, Entanglement protocol to measure atomic parity violation at sub 0.1% precision, Phys. Rev. A 113, 032802 (2026).
- A. V. Viatkina, D. Antypas, M. G. Kozlov, D. Budker, and V. V. Flambaum, Dependence of atomic parity-violation effects on neutron skins and new physics, Phys. Rev. C 100, 034318 (2019).
- H. J. Emrich, G. Fricke, G. Mallot, H. Miska, H. G. Sieberling, J. M. Cavedon, B. Frois, and D. Goutte, Radial distribution of nucleons in the isotopes , Nucl. Phys. A 396, 401 (1983).
- V. A. Yerokhin and B. Ohayon, Model-independent determination of nuclear charge radii from Li-like ions, Phys. Rev. A 113, 012804 (2026).
- B. Ohayon, Critical evaluation of reference charge radii and applications in mirror nuclei, At. Data Nucl. Data Tables 165, 101732 (2025).
- G. Fricke, K. Heilig, and H. F. Schopper, Nuclear Charge Radii (Springer, Berlin, 2004), Vol. 454.
- H. De Vries, C. W. De Jager, and C. De Vries, Nuclear charge-density-distribution parameters from elastic electron scattering, At. Data Nucl. Data Tables 36, 495 (1987).
- G. Fricke, C. Bernhardt, K. Heilig, L. Schaller, L. Schellenberg, E. Shera, and C. Dejager, Nuclear ground state charge radii from electromagnetic interactions, At. Data Nucl. Data Tables 60, 177 (1995).
- I. Sick, J. B. Bellicard, J. M. Cavedon, B. Frois, M. Huet, P. Leconte, P. X. Ho, and S. Platchkov, Charge density of , Phys. Lett. B 88, 245 (1979).
- H. Euteneuer, J. Friedrich, and N. Voegler, The charge-distribution differences of and investigated by elastic electron scattering and muonic x-ray data, Nucl. Phys. A 298, 452 (1978).
- V. A. Yerokhin and V. M. Shabaev, Lamb shift of and states of hydrogen-like atoms, , J. Phys. Chem. Ref. Data 44, 033103 (2015).
- C. G. Mertens, Numerical solution of the Dirac equation for an arbitrary central potential, Bachelor thesis, https://github.com/suppetia/qm-dish.
- V. A. Yerokhin and A. Surzhykov, Energy levels of core-excited states in lithium-like ions: Argon to uranium, J. Phys. Chem. Ref. Data 47, 023105 (2018).
- P. Jönsson, X. He, C. Froese Fischer, and I. P. Grant, The grasp2K relativistic atomic structure package, Comput. Phys. Commun. 177, 597 (2007).
- A. Kramida, Yu. Ralchenko, J. Reader, and NIST ASD Team, NIST atomic spectra database (ver. 5.12) [Online], Available: [2025, June 12], National Institute of Standards and Technology, Gaithersburg, MD (2024), https://physics.nist.gov/asd.
- E. V. Kahl and J. C. Berengut, AMBİT: A programme for high-precision relativistic atomic structure calculations, Comput. Phys. Commun. 238, 232 (2019).
- M. G. Kozlov, M. Y. Kaygorodov, Yu. A. Demidov, and V. A. Yerokhin, Self-energy correction to the transition amplitudes in hydrogenlike ions, Phys. Rev. A 111, 022816 (2025).
- M. A. Bouchiat and C. Bouchiat, I. parity violation induced by weak neutral currents in atomic physics, J. Phys. 35, 899 (1974).
- F. Ferro, A. Surzhykov, and T. Stöhlker, Hyperfine transitions in He-like ions as a tool for nuclear-spin-dependent parity-nonconservation studies, Phys. Rev. A 83, 052518 (2011).
- V. V. Flambaum, V. A. Dzuba, and C. Harabati, Effect of nuclear quadrupole moments on parity nonconservation in atoms, Phys. Rev. A 96, 012516 (2017).