- Physical Review Journals
All JournalsPhysics Magazine

Physical Review D

Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

π0−γ mixing in the presence of a strong magnetic field

D. Gomez Dumm1,2,*, S. Noguera3, and N. N. Scoccola2,4

  • *Contact author: dumm@fisica.unlp.edu.ar
PDF

Phys. Rev. D 114, 054007 – Published 10 September, 2026

DOI: https://doi.org/10.1103/zxw3-vpxw

Abstract

We analyze the mixing between the π0 meson and the photon in the presence of a strong uniform magnetic field, in the context of a two-flavor Nambu-Jona-Lasinio model. It is shown that only one specific photon polarization state can get mixed with the π0 state, a fact that can be understood on general grounds. For magnetic fields with values up to 1  GeV2/e, it is found that the effect of the mixing on the pion mass and pion-quark couplings is relatively small (below a level of 15%), which is at variance with previous results reported in the literature.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (35)

  1. D. E. Kharzeev, K. Landsteiner, A. Schmitt, and H. U. Yee, Lect. Notes Phys. 871, 1 (2013).
  2. J. O. Andersen, W. R. Naylor, and A. Tranberg, Rev. Mod. Phys. 88, 025001 (2016).
  3. V. A. Miransky and I. A. Shovkovy, Phys. Rep. 576, 1 (2015).
  4. P. Adhikari, M. Ammon, S. S. Avancini, A. Ayala, A. Bandyopadhyay, D. Blaschke, F. L. Braghin, P. Buividovich, R. P. Cardoso, C. Cartwright et al., Prog. Part. Nucl. Phys. 146, 104199 (2026).
  5. T. Vachaspati, Phys. Lett. B 265, 258 (1991).
  6. D. Grasso and H. R. Rubinstein, Phys. Rep. 348, 163 (2001).
  7. V. Skokov, A. Y. Illarionov, and V. Toneev, Int. J. Mod. Phys. A 24, 5925 (2009).
  8. V. Voronyuk, V. D. Toneev, W. Cassing, E. L. Bratkovskaya, V. P. Konchakovski, and S. A. Voloshin, Phys. Rev. C 83, 054911 (2011).
  9. R. C. Duncan and C. Thompson, Astrophys. J. Lett. 392, L9 (1992).
  10. C. Kouveliotou et al., Nature (London) 393, 235 (1998).
  11. D. E. Kharzeev, L. D. McLerran, and H. J. Warringa, Nucl. Phys. A803, 227 (2008).
  12. K. Fukushima, D. E. Kharzeev, and H. J. Warringa, Phys. Rev. D 78, 074033 (2008).
  13. D. E. Kharzeev, J. Liao, S. A. Voloshin, and G. Wang, Prog. Part. Nucl. Phys. 88, 1 (2016).
  14. V. P. Gusynin, V. A. Miransky, and I. A. Shovkovy, Nucl. Phys. B462, 249 (1996).
  15. G. S. Bali, F. Bruckmann, G. Endrodi, Z. Fodor, S. D. Katz, S. Krieg, A. Schafer, and K. K. Szabo, J. High Energy Phys. 02 (2012) 044.
  16. M. Coppola, D. Gomez Dumm, S. Noguera, and N. N. Scoccola, Phys. Rev. D 109, 054014 (2024).
  17. J. P. Carlomagno, D. Gomez Dumm, S. Noguera, and N. N. Scoccola, Phys. Rev. D 106, 074002 (2022).
  18. J. P. Carlomagno, D. Gomez Dumm, M. F. I. Villafañe, S. Noguera, and N. N. Scoccola, Phys. Rev. D 106, 094035 (2022).
  19. G. Raffelt and L. Stodolsky, Phys. Rev. D 37, 1237 (1988).
  20. T. Brauner and S. V. Kadam, J. High Energy Phys. 11 (2017) 103.
  21. U. Vogl and W. Weise, Prog. Part. Nucl. Phys. 27, 195 (1991).
  22. S. P. Klevansky, Rev. Mod. Phys. 64, 649 (1992).
  23. T. Hatsuda and T. Kunihiro, Phys. Rep. 247, 221 (1994).
  24. D. Ebert, K. G. Klimenko, M. A. Vdovichenko, and A. S. Vshivtsev, Phys. Rev. D 61, 025005 (2000).
  25. D. P. Menezes, M. Benghi Pinto, S. S. Avancini, A. Perez Martinez, and C. Providencia, Phys. Rev. C 79, 035807 (2009).
  26. P. G. Allen, A. G. Grunfeld, and N. N. Scoccola, Phys. Rev. D 92, 074041 (2015).
  27. S. S. Avancini, R. L. S. Farias, N. N. Scoccola, and W. R. Tavares, Phys. Rev. D 99, 116002 (2019).
  28. W. y. Tsai, Phys. Rev. D 10, 2699 (1974).
  29. L. F. Urrutia, Phys. Rev. D 17, 1977 (1978).
  30. K. Hattori and K. Itakura, Ann. Phys. (Amsterdam) 330, 23 (2013).
  31. V. P. Pagura, D. Gomez Dumm, S. Noguera, and N. N. Scoccola, Phys. Rev. D 95, 034013 (2017).
  32. D. Gomez Dumm, M. F. Izzo Villafañe, S. Noguera, V. P. Pagura, and N. N. Scoccola, Phys. Rev. D 96, 114012 (2017).
  33. S. S. Avancini, R. L. S. Farias, M. Benghi Pinto, W. R. Tavares, and V. S. Timóteo, Phys. Lett. B 767, 247 (2017).
  34. G. S. Bali, B. B. Brandt, G. Endrődi, and B. Gläßle, Phys. Rev. D 97, 034505 (2018).
  35. H. T. Ding, S. T. Li, A. Tomiya, X. D. Wang, and Y. Zhang, Phys. Rev. D 104, 014505 (2021).

Outline

Information

Phys. Rev. D 114, 054007– Published 10 September, 2026
  • Received 22 June 2026
  • Accepted 28 July 2026
Crossmark - Check for updates button
Creative Commons Logo

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation