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

Hadronic decay D+→π+ηη and the a0(980) and f0(1370) contributions

Wen-Tao Lyu1, Le-Le Wei2,*, De-Min Li1,†, and En Wang1,‡

  • *Contact author: llwei@mails.ccnu.edu.cn
  • †Contact author: lidm@zzu.edu.cn
  • ‡Contact author: wangen@zzu.edu.cn

Phys. Rev. D 112, 054015 – Published 10 September, 2025

DOI: https://doi.org/10.1103/nfbc-yns2

Abstract

Motivated by the recent BESIII Collaboration measurements of the decay D+→π+ηη, we investigate this process by considering the contribution from the resonance a0(980), which is generated by S-wave pseudoscalar meson-pseudoscalar meson interaction, and the contribution from the intermediate scalar meson f0(1370). Our results could give a good description of the π+η and ηη invariant mass distributions, which implies that the contribution from the intermediate f0(1370), neglected in BESIII analysis, could play a role in this process. Furthermore, the predicted Dalitz plots are also consistent with the BESIII measurements. The more precise measurements about this process in the future could shed light on the mechanism of this process and the properties of f0(1370) and a0(980).

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (52)

  1. M. Gell-Mann, Phys. Lett. 8, 214 (1964).
  2. G. Zweig, 10.17181/CERN-TH-401.
  3. S. K. Choi et al. (Belle Collaboration), Phys. Rev. Lett. 91, 262001 (2003).
  4. H. X. Chen, W. Chen, X. Liu, Y. R. Liu, and S. L. Zhu, Rep. Prog. Phys. 86, 026201 (2023).
  5. N. Brambilla, S. Eidelman, C. Hanhart, A. Nefediev, C. P. Shen, C. E. Thomas, A. Vairo, and C. Z. Yuan, Phys. Rep. 873, 1 (2020).
  6. L. Meng, B. Wang, G. J. Wang, and S. L. Zhu, Phys. Rep. 1019, 1 (2023).
  7. D. Guo, Q. H. Yang, L. Y. Dai, and A. P. Szczepaniak, Eur. Phys. J. C 85, 389 (2025).
  8. M. Z. Liu, Y. W. Pan, Z. W. Liu, T. W. Wu, J. X. Lu, and L. S. Geng, Phys. Rep. 1108, 1 (2025).
  9. Q. H. Yang, L. Y. Dai, and U. G. Meißner, arXiv:2412.07599.
  10. E. Wang, L. S. Geng, J. J. Wu, J. J. Xie, and B. S. Zou, Chin. Phys. Lett. 41, 101401 (2024).
  11. F. E. Close and N. A. Tornqvist, J. Phys. G 28, R249 (2002).
  12. C. Amsler and N. A. Tornqvist, Phys. Rep. 389, 61 (2004).
  13. D. V. Bugg, Phys. Rep. 397, 257 (2004).
  14. E. Klempt and A. Zaitsev, Phys. Rep. 454, 1 (2007).
  15. J. R. Pelaez, Phys. Rep. 658, 1 (2016).
  16. J. Nieves and E. Ruiz Arriola, Phys. Lett. B 455, 30 (1999).
  17. G. Janssen, B. C. Pearce, K. Holinde, and J. Speth, Phys. Rev. D 52, 2690 (1995).
  18. T. Wolkanowski, F. Giacosa, and D. H. Rischke, Phys. Rev. D 93, 014002 (2016).
  19. R. L. Jaffe, Phys. Rev. D 15, 267 (1977).
  20. R. L. Jaffe, The Gregory Breit Centennial Symposium (World Scientific, Singapore, 2001).
  21. R. L. Jaffe, AIP Conf. Proc. 964, 1 (2007); Prog. Theor. Phys. Suppl. 168, 127 (2007).
  22. M. Ablikim et al. (BESIII Collaboration), Phys. Rev. D 101, 052009 (2020).
  23. N. Ikeno, M. Bayar, and E. Oset, Eur. Phys. J. C 81, 377 (2021).
  24. M. Ablikim et al. (BESIII Collaboration), arXiv:2505.12086.
  25. M. Bayar, F. Aceti, F. K. Guo, and E. Oset, Phys. Rev. D 94, 074039 (2016).
  26. J. A. Oller and E. Oset, Nucl. Phys. A620, 438 (1997); A652, 407(E) (1999).
  27. Z. Wang, Y. Y. Wang, E. Wang, D. M. Li, and J. J. Xie, Eur. Phys. J. C 80, 842 (2020).
  28. J. J. Xie, L. R. Dai, and E. Oset, Phys. Lett. B 742, 363 (2015).
  29. E. Oset, W. H. Liang, M. Bayar, J. J. Xie, L. R. Dai, M. Albaladejo, M. Nielsen, T. Sekihara, F. Navarra, L. Roca et al., Int. J. Mod. Phys. E 25, 1630001 (2016).
  30. M. Y. Duan, J. Y. Wang, G. Y. Wang, E. Wang, and D. M. Li, Eur. Phys. J. C 80, 1041 (2020).
  31. X. Zhu, H. N. Wang, D. M. Li, E. Wang, L. S. Geng, and J. J. Xie, Phys. Rev. D 107, 034001 (2023).
  32. X. C. Feng, L. L. Wei, M. Y. Duan, E. Wang, and D. M. Li, Phys. Lett. B 846, 138185 (2023).
  33. G. Y. Wang, N. C. Wei, H. M. Yang, E. Wang, L. S. Geng, and J. J. Xie, Phys. Rev. D 106, 056001 (2022).
  34. J. Y. Wang, M. Y. Duan, G. Y. Wang, D. M. Li, L. J. Liu, and E. Wang, Phys. Lett. B 821, 136617 (2021).
  35. W. H. Liang, J. J. Xie, and E. Oset, Eur. Phys. J. C 76, 700 (2016).
  36. J. X. Lin, J. T. Li, S. J. Jiang, W. H. Liang, and E. Oset, Eur. Phys. J. C 81, 1017 (2021).
  37. M. Y. Duan, W. T. Lyu, C. W. Xiao, E. Wang, J. J. Xie, D. Y. Chen, and E. Oset, Phys. Rev. D 111, 016004 (2025).
  38. M. Y. Li, W. T. Lyu, L. J. Liu, and E. Wang, Phys. Rev. D 111, 034046 (2025).
  39. W. T. Lyu, S. C. Zhang, G. Y. Wang, J. J. Wu, E. Wang, L. S. Geng, and J. J. Xie, Phys. Rev. D 110, 054020 (2024).
  40. X. H. Zhang, H. Zhang, B. C. Ke, L. J. Liu, D. M. Li, and E. Wang, Phys. Rev. D 110, 114050 (2024).
  41. W. H. Liang, H. X. Chen, E. Oset, and E. Wang, Eur. Phys. J. C 79, 411 (2019).
  42. F. Close, An Introduction to Quarks and Partons (Academic Press, London, 1979), ISBN [Amazon][WorldCat].
  43. K. Miyahara, T. Hyodo, M. Oka, J. Nieves, and E. Oset, Phys. Rev. C 95, 035212 (2017).
  44. H. Zhang, Y. H. Lyu, L. J. Liu, and E. Wang, Chin. Phys. C 47, 043101 (2023).
  45. X. Zhu, D. M. Li, E. Wang, L. S. Geng, and J. J. Xie, Phys. Rev. D 105, 116010 (2022).
  46. Y. W. Peng, W. Liang, X. Xiong, and C. W. Xiao, Phys. Rev. D 110, 036013 (2024).
  47. F. K. Guo, R. G. Ping, P. N. Shen, H. C. Chiang, and B. S. Zou, Nucl. Phys. A773, 78 (2006).
  48. S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024).
  49. D. V. Bugg, Eur. Phys. J. C 52, 55 (2007).
  50. W. Ochs, J. Phys. G 40, 043001 (2013).
  51. R. Molina, D. Nicmorus, and E. Oset, Phys. Rev. D 78, 114018 (2008).
  52. L. S. Geng and E. Oset, Phys. Rev. D 79, 074009 (2009).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation