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Parity nonconservation in the isotope chain of tin

V. A. Dzuba1, V. V. Flambaum1, D. DeMille2,3, Jianwei Wang2, and Geoffrey Zheng3

Phys. Rev. A 114, 022806 – Published 5 August, 2026

DOI: https://doi.org/10.1103/rmtw-hkd4

Abstract

We calculate parity nonconservation (PNC) amplitudes for all magnetic dipole (M1) transitions within the ground 5p2configuration of Sn, including the standard model interaction and contribution of a hypothetical additional Z boson. Among the transitions considered, the 1S03P1 transition has the largest PNC amplitude and appears to be the most promising candidate for an experiment. We also discuss a measurement method capable of achieving unprecedentedly high precision in a measurement of PNC in this transition. We argue that the most robust test should be based on ratios of PNC amplitudes for different isotopes, since the atomic-structure factor largely cancels in such ratios. We study the effect of the neutron skin on these isotope ratios using available nuclear data for Sn and show that the uncertainty associated with the neutron skin can be reduced to the 104 level relative to the isotopic variation of the PNC effect. Our results indicate that PNC measurements along a chain of Sn isotopes offer a realistic and sensitive probe of new physics.

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References (42)

  1. 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).
  2. V. A. Dzuba, V. V. Flambaum, and O. P. Sushkov, Summation of the high orders of perturbation theory for the parity nonconserving E1-amplitude of the 6s–7s transition in the caesium atom, Phys. Lett. A 141, 147 (1989).
  3. S. A. Blundell, W. R. Johnson, and J. Sapirstein, High-accuracy calculation of the 6s1/27s1/2 parity-nonconserving transition in atomic cesium and implications for the standard model, Phys. Rev. Lett. 65, 1411 (1990).
  4. V. A. Dzuba, V. V. Flambaum, and J. S. M. Ginges, High-precision calculation of parity nonconservation in cesium and test of the standard model, Phys. Rev. D 66, 076013 (2002).
  5. V. A. Dzuba, J. C. Berengut, V. V. Flambaum, and B. Roberts, Revisiting parity nonconservation in cesium, Phys. Rev. Lett. 109, 203003 (2012).
  6. S. G. Porsev, K. Beloy, and A. Derevianko, Precision determination of electroweak coupling from atomic parity violation and implications for particle physics, Phys. Rev. Lett. 102, 181601 (2009).
  7. M. Tanabashi, K. Hagiwara, K. Hikasa, et al. (Particle Data Group), Review of particle physics, Phys. Rev. D 98, 030001 (2018).
  8. V. V. Flambaum and I. B. Samsonov, Effects of dispersion parity-violating interaction in electron scattering and atoms, Phys. Rev. D 114, L011302 (2026).
  9. V. A. Dzuba, V. V. Flambaum, and I. B. Khriplovich, Enhancement of P- and T-nonconserving effects in rare-earth atoms, Z. Phys. D 1, 243 (1986).
  10. B. A. Brown, A. Derevianko, and V. V. Flambaum, Calculations of the neutron skin and its effect in atomic parity violation, Phys. Rev. C 79, 035501 (2009).
  11. 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).
  12. D. Antypas, A. M. 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).
  13. D. Antypas, A. M. Fabricant, J. E. Stalnaker, K. Tsigutkin, V. V. Flambaum, and D. Budker, Isotopic variation of parity violation in atomic ytterbium: Description of the measurement method and analysis of systematic effects, Phys. Rev. A 100, 012503 (2019).
  14. J. Zhang, R. Collister, K. Shiells, M. Tandecki, S. Aubin, J. A. Behr, E. Gomez, A. Gorelov, G. Gwinner, L. A. Orozco, et al., Efficient inter-trap transfer of cold francium atoms, Hyperfine Interact. 237, 150 (2016).
  15. E. N. Fortson, Y. Pang, and L. Wilets, Nuclear-structure effects in atomic parity nonconservation, Phys. Rev. Lett. 65, 2857 (1990).
  16. A. Trzcińska, J. Jastrzȩbski, P. Lubiński, F. J. Hartmann, R. Schmidt, T. von Egidy, and B. Klos, Neutron density distributions deduced from antiprotonic atoms, Phys. Rev. Lett. 87, 08251 (2001).
  17. S. Terashima, H. Sakaguchi, H. Takeda, T. Ishikawa, M. Itoh, T. Kawabata, T. Murakami, M. Uchida, Y. Yasuda, et al., Proton elastic scattering from tin isotopes at 295 MeV and systematic change of neutron density distributions, Phys. Rev. C 77, 024317 (2008).
  18. K. Kaneko, Y. Sun, M. Hasegawa, and T. Mizusaki, Structure of upper-g9/2-shell nuclei and shape effect in the Ag94 isomeric states, Phys. Rev. C 77, 064304 (2008).
  19. S. Tagami, T. Wakasa, and M. Yahiro, Neutron skin thickness of 116,118,120,122,124Sn determined from reaction cross sections of proton scattering, Results Phys. 46, 106296 (2023).
  20. N. Fortson, Possibility of measuring parity nonconservation with a single trapped atomic ion, Phys. Rev. Lett. 70, 2383 (1993).
  21. G. Zheng, J. Wang, M. Verma, Q. Wang, T. K. Langin, and D. DeMille, Simulated laser cooling and magneto-optical trapping of group-IV atoms, Phys. Rev. A 113, 043115 (2026).
  22. V. A. Dzuba, VNM approximation for atomic calculations, Phys. Rev. A 71, 032512 (2005).
  23. W. R. Johnson and J. Sapirstein, Computation of second-order many-body corrections in relativistic atomic systems, Phys. Rev. Lett. 57, 1126 (1986).
  24. V. A. Dzuba, Combination of the single-double–coupled-cluster and the configuration-interaction methods: Application to barium, lutetium, and their ions, Phys. Rev. A 90, 012517 (2014).
  25. V. A. Dzuba, V. V. Flambaum, and M. S. Safronova, Breit interaction and parity nonconservation in many-electron atoms, Phys. Rev. A 73, 022112 (2006).
  26. A. Kramida, Y. Ralchenko, J. Reader, and NIST ASD Team, NIST Atomic Spectra Database (NIST, Gaithersburg, 2024), version 5.12, available at https://physics.nist.gov/asd.
  27. V. A. Dzuba, J. C. Berengut, C. Harabati, and V. V. Flambaum, Combining configuration interaction with perturbation theory for atoms with a large number of valence electrons, Phys. Rev. A 95, 012503 (2017).
  28. A. Dalgarno and J. T. Lewis, The exact calculation of long-range forces between atoms by perturbation theory, Proc. R. Soc. A 233, 70 (1955).
  29. V. A. Dzuba, V. V. Flambaum, P. G. Silvestrov, and O. P. Sushkov, Correlation potential method for the calculation of energy levels, hyperfine structure and E1 transition amplitudes in atoms with one unpaired electron, J. Phys. B 20, 1399 (1987).
  30. V. Dzuba, Calculation of polarizabilities for atoms with open shells, Symmetry 12, 1950 (2020).
  31. V. A. Dzuba, V. V. Flambaum, P. G. Silvestrov, and O. P. Sushkov, Relativistic many-body calculations of parity nonconservation in lead and bismuth atoms, Europhys. Lett. 7, 413 (1988).
  32. S. G. Porsev, M. G. Kozlov, M. S. Safronova, and I. I. Tupitsyn, Development of the configuration-interaction + all-order method and application to the parity-nonconserving amplitude and other properties of Pb, Phys. Rev. A 93, 012501 (2016).
  33. D. M. Meekhof, P. A. Vetter, P. K. Majumder, S. K. Lamoreaux, and E. N. Fortson, High-precision measurement of parity nonconserving optical rotation in atomic lead, Phys. Rev. Lett. 71, 3442 (1993).
  34. D. M. Meekhof, P. A. Vetter, P. K. Majumder, S. K. Lamoreaux, and E. N. Fortson, Optical-rotation technique used for a high-precision measurement of parity nonconservation in atomic lead, Phys. Rev. A 52, 1895 (1995).
  35. S. J. Phipp, N. H. Edwards, P. E. G. Baird, and S. Nakayama, A measurement of parity non-conserving optical rotation in atomic lead, J. Phys. B 29, 1861 (1996).
  36. P. Schwerdtfeger and J. K. Nagle, 2018 Table of static dipole polarizabilities of the neutral elements in the periodic table, Mol. Phys. 117, 1200 (2019).
  37. 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).
  38. V. A. Dzuba, V. V. Flambaum, and G. K. Vong, Parity nonconservation in Rb and Sr+ due to a low-mass vector boson, Phys. Rev. A 113, 052808 (2026).
  39. I. Angeli and K. Marinova, Table of experimental nuclear ground state charge radii: An update, At. Data Nucl. Data Tables 99, 69 (2013).
  40. D. Antypas and D. S. Elliott, Measurement of a weak transition moment using two-pathway coherent control, Phys. Rev. A 87, 042505 (2013).
  41. D. DeMille, D. Budker, N. Derr, and E. Deveney, Search for exchange-antisymmetric two-photon states, Phys. Rev. Lett. 83, 3978 (1999).
  42. F. Takahashi et al. (Particle Data Group), The Review of Particle Physics, Int. J. Mod. Phys. A 41, 2630011 (2026).

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