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Radiative decays of the hc meson from lattice QCD

Mischa Batelaan1,2,*, Jozef J. Dudek2,†, and Robert G. Edwards3,‡ (for the Hadron Spectrum Collaboration)

  • *Contact author: m.batelaan@adelaide.edu.au
  • †Contact author: jjdudek@wm.edu
  • ‡Contact author: edwards@jlab.org
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Phys. Rev. D 114, 094505 – Published 6 November, 2026

DOI: https://doi.org/10.1103/3s33-c5n5

Abstract

We explore, for the first time in lattice QCD, the radiative decays to γη and γη′ of the JPC=1+− charmonium state, hc. This work expands upon a previous calculation of J/ψ decays to the same final states, incorporating novel technology to access the hc where it is an excited state and to separate the independent electric dipole and longitudinal form factors. Results for the radiative decay rates, computed on three-flavor lattices with mπ∼391  MeV, show a suppression relative to experiment that is similar to that observed in the prior calculation of J/ψ→γη(′). The timelike Q2 dependence of both form factors together influence the Dalitz decays, hc→ℓ+ℓ−η(′), which are as yet unmeasured experimentally.

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References (41)

  1. F. Takahashi et al. (Particle Data Group), Int. J. Mod. Phys. A 41, 2630011 (2026).
  2. M. Ablikim et al. (BESIII Collaboration), J. High Energy Phys. 08 (2024) 180.
  3. M. Batelaan, J. J. Dudek, and R. G. Edwards (Hadron Spectrum Collaboration), Phys. Rev. Lett. 135, 161904 (2025).
  4. M. Batelaan, J. J. Dudek, and R. G. Edwards (Hadron Spectrum Collaboration), Phys. Rev. D 112, 074505 (2025).
  5. J. J. Dudek, R. G. Edwards, P. Guo, and C. E. Thomas (Hadron Spectrum Collaboration), Phys. Rev. D 88, 094505 (2013).
  6. M. Ablikim et al. (BESIII Collaboration), Phys. Rev. D 99, 012006 (2019); 104, 099901(E) (2021).
  7. M. Ablikim et al. (BESIII Collaboration), Phys. Rev. D 99, 012013 (2019).
  8. J. J. Dudek, R. G. Edwards, and D. G. Richards, Phys. Rev. D 73, 074507 (2006).
  9. J. Delaney, C. E. Thomas, and S. M. Ryan (Hadron Spectrum Collaboration), J. High Energy Phys. 05 (2023) 230.
  10. L. Durand, P. C. DeCelles, and R. B. Marr, Phys. Rev. 126, 1882 (1962).
  11. D. Bečirević, R. Di Palma, R. Frezzotti, G. Gagliardi, V. Lubicz, F. Sanfilippo, and N. Tantalo, Phys. Rev. D 114, 054503 (2026).
  12. W. I. Jay and E. T. Neil, Phys. Rev. D 103, 114502 (2021).
  13. M. Ablikim et al. (BESIII Collaboration), Phys. Rev. D 96, 052003 (2017).
  14. M. Ablikim et al. (BESIII Collaboration), Phys. Rev. D 92, 052003 (2015); 93, 039906(E) (2016).
  15. M. Ablikim et al. (BESIII Collaboration), Phys. Rev. D 98, 072003 (2018).
  16. A. Rodas, A. Pilloni, M. Albaladejo, C. Fernandez-Ramirez, V. Mathieu, and A. P. Szczepaniak (Joint Physics Analysis Center Collaboration), Eur. Phys. J. C 82, 80 (2022).
  17. A. V. Sarantsev, I. Denisenko, U. Thoma, and E. Klempt, Phys. Lett. B 816, 136227 (2021).
  18. R. A. Briceno, J. J. Dudek, R. G. Edwards, and D. J. Wilson, Phys. Rev. D 97, 054513 (2018).
  19. L. Lellouch and M. Luscher, Commun. Math. Phys. 219, 31 (2001).
  20. R. A. Briceño, M. T. Hansen, and A. Walker-Loud, Phys. Rev. D 91, 034501 (2015).
  21. R. A. Briceño and M. T. Hansen, Phys. Rev. D 92, 074509 (2015).
  22. R. A. Briceño, J. J. Dudek, and L. Leskovec, Phys. Rev. D 104, 054509 (2021).
  23. R. A. Briceno, J. J. Dudek, R. G. Edwards, C. J. Shultz, C. E. Thomas, and D. J. Wilson, Phys. Rev. Lett. 115, 242001 (2015).
  24. R. A. Briceño, J. J. Dudek, R. G. Edwards, C. J. Shultz, C. E. Thomas, and D. J. Wilson, Phys. Rev. D 93, 114508 (2016); 105, 079902(E) (2022).
  25. C. Andersen, J. Bulava, B. Hörz, and C. Morningstar, Nucl. Phys. B939, 145 (2019).
  26. C. Alexandrou, L. Leskovec, S. Meinel, J. Negele, S. Paul, M. Petschlies, A. Pochinsky, G. Rendon, and S. Syritsyn, Phys. Rev. D 98, 074502 (2018); 105, 019902(E) (2022).
  27. A. Radhakrishnan, J. J. Dudek, and R. G. Edwards (Hadron Spectrum Collaboration), Phys. Rev. D 106, 114513 (2022).
  28. F. G. Ortega-Gama, J. J. Dudek, and R. G. Edwards (Hadron Spectrum Collaboration), Phys. Rev. D 110, 094505 (2024).
  29. L. Leskovec, S. Meinel, M. Petschlies, J. Negele, S. Paul, and A. Pochinsky, Phys. Rev. Lett. 134, 161901 (2025).
  30. R. G. Edwards and B. Joo (SciDAC, Nucl. Phys. B, Proc. Suppl. 140, 832 (2005).
  31. M. A. Clark, R. Babich, K. Barros, R. C. Brower, and C. Rebbi (QUDA Collaboration), Comput. Phys. Commun. 181, 1517 (2010).
  32. R. Babich, M. A. Clark, and B. Joo, in The International Conference for High Performance Computing, Networking, Storage and Analysis (2010), arXiv:1011.0024.
  33. K. Clark, B. Joo, A. Strelchenko, M. Cheng, A. Gambhir, and R. Brower, in Proceedings of SC 16 (Supercomputing 2016) Salt Lake City Utah, 2016 (IEEE Press, 2016).
  34. B. Joó, D. Kalamkar, K. Vaidyanathan, M. Smelyanskiy, K. Pamnany, V. Lee, P. Dubey, and W. Watson, in Supercomputing, Lecture Notes in Computer Science Vol. 7905, edited by J. Kunkel, T. Ludwig, and H. Meuer (Springer, Berlin Heidelberg, 2013), pp. 40–54.
  35. B. Joó, mg_proto: A Multigrid Library for QCD, https://github.com/JeffersonLab/mg_proto/.
  36. J. C. Osborn, R. Babich, J. Brannick, R. C. Brower, M. A. Clark, S. D. Cohen, and C. Rebbi, Proc. Sci. LATTICE2010 (2010) 037 [arXiv:1011.2775].
  37. R. Babich, J. Brannick, R. C. Brower, M. A. Clark, T. A. Manteuffel, S. F. McCormick, J. C. Osborn, and C. Rebbi, Phys. Rev. Lett. 105, 201602 (2010).
  38. J. Chen, R. G. Edwards, and W. Mao, in Platform for Advanced Scientific Computing (Association for Computing Machinery, New York, 2023) 10.1145/3592979.3593409.
  39. O. Selvitopi, E. Ozturk, J. Chen, P. Sadayappan, R. G. Edwards, and A. Buluç, arXiv:2511.02257.
  40. www.csd3.cam.ac.uk.
  41. www.dirac.ac.uk.

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Phys. Rev. D 114, 094505– Published 6 November, 2026
  • Received 7 August 2026
  • Accepted 6 October 2026
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