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
  • Letter
  • Open Access

Quantum numbers of the X(1880)

Qin-He Yang1,2,3, Ling-Yun Dai1,4,*, and Ulf-G. Meißner2,3,5,†

  • 1School for Theoretical Physics, School of Physics and Electronics, Hunan University, Changsha 410082, China
  • 2Helmholtz Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, D-53115 Bonn, Germany
  • 3Institute for Advanced Simulation (IAS-4), Forschungszentrum Jülich, D-52425 Jülich, Germany
  • 4Hunan Provincial Key Laboratory of High-Energy Scale Physics and Applications, Hunan University, Changsha 410082, China
  • 5Peng Huanwu Collaborative Center for Research and Education, International Institute for Interdisciplinary and Frontiers, Beihang University, Beijing 100191, China

  • *Contact author: dailingyun@hnu.edu.cn
  • †Contact author: meissner@hiskp.uni-bonn.de

Phys. Rev. D 113, L011501 – Published 9 January, 2026

DOI: https://doi.org/10.1103/gmyw-cfjf

Abstract

We study the properties of the X(1880), the structure around the p¯p threshold that appears in the 3(π+π−) invariant mass spectrum in the decay process of J/ψ→γ3(π+π−). Nucleon-antinucleon rescattering is taken into account in our analysis, and the decay amplitude of J/ψ→γ3(π+π−) can be obtained by the distorted wave Born approximation. With these amplitudes, we analyze the contributions to the X(1880) from different partial waves. Our analysis suggests that the X(1880) should be isoscalar 0−+, and it is generated by the threshold behavior.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (59)

  1. M. Gell-Mann, Phys. Lett. 8, 214 (1964).
  2. G. Zweig, 10.17181/CERN-TH-401 (1964).
  3. S. D. Bass and P. Moskal, Rev. Mod. Phys. 91, 015003 (2019).
  4. B. Ketzer, B. Grube, and D. Ryabchikov, Prog. Part. Nucl. Phys. 113, 103755 (2020).
  5. D. Vadacchino, arXiv:2305.04869 [hep-lat].
  6. M. R. Shepherd, J. J. Dudek, and R. E. Mitchell, Nature (London) 534, 487 (2016).
  7. A. Rodas et al. (JPAC Collaboration), Phys. Rev. Lett. 122, 042002 (2019).
  8. M. Ablikim et al. (BESIII Collaboration), Phys. Rev. Lett. 132, 151901 (2024).
  9. M. Ablikim et al. (BESIII Collaboration), Phys. Rev. D 88, 091502 (2013).
  10. S. G. Salnikov and A. I. Milstein, Nucl. Phys. B1002, 116539 (2024).
  11. M. Karliner and J. L. Rosner, Phys. Rev. D 110, 094058 (2024).
  12. Y. Xiao, J.-X. Lu, and L.-S. Geng, Phys. Rev. C 110, 064002 (2024).
  13. B.-Q. Ma, Chin. Sci. Bull. 69, 4620 (2024).
  14. P.-Y. Niu, Z.-Y. Zhang, Y.-Y. Li, Q. Wang, and Q. Zhao, Phys. Rev. D 110, 094020 (2024).
  15. P. G. Ortega, D. R. Entem, F. Fernandez, and J. Segovia, Phys. Lett. B 862, 139281 (2025).
  16. Z.-S. Jia, Z.-H. Zhang, F.-K. Guo, and G. Li, Phys. Rev. D 111, 054014 (2025).
  17. W. Sun, L.-C. Gui, Y. Chen, M. Gong, C. Liu, Y.-B. Liu, Z. Liu, J.-P. Ma, and J.-B. Zhang, Chin. Phys. C 42, 093103 (2018).
  18. K. Sakai and S. Sasaki, Phys. Rev. D 107, 034510 (2023).
  19. K. Abe et al. (Belle Collaboration), Phys. Rev. Lett. 88, 181803 (2002).
  20. K. Abe et al. (Belle Collaboration), Phys. Rev. Lett. 89, 151802 (2002).
  21. J. Z. Bai et al. (BES Collaboration), Phys. Rev. Lett. 91, 022001 (2003).
  22. J. P. Lees et al. (BABAR Collaboration), Phys. Rev. D 87, 092005 (2013).
  23. M. Ablikim et al. (BESIII Collaboration), Phys. Rev. D 97, 032013 (2018).
  24. M. Ablikim et al. (BESIII Collaboration), Phys. Rev. Lett. 123, 122003 (2019).
  25. M. Ablikim et al. (BESIII Collaboration), Phys. Rev. D 103, 012005 (2021).
  26. M. Ablikim et al. (BESIII Collaboration), Phys. Lett. B 814, 136110 (2021).
  27. M. N. Achasov et al. (SND Collaboration), Eur. Phys. J. C 82, 761 (2022).
  28. M. Ablikim et al. (BES Collaboration), Phys. Rev. Lett. 95, 262001 (2005).
  29. X. H. He et al. (Belle Collaboration), Phys. Rev. D 89, 032003 (2014).
  30. C. C. Zhang et al. (Belle Collaboration), Phys. Rev. D 86, 052002 (2012).
  31. M. Ablikim et al. (BESIII Collaboration), Phys. Rev. Lett. 115, 091803 (2015).
  32. M. Ablikim et al. (BESIII Collaboration), Phys. Rev. D 97, 051101 (2018).
  33. M. Ablikim et al. (BESIII Collaboration), Phys. Rev. Lett. 130, 151905 (2023).
  34. A. I. Milstein and S. G. Salnikov, Phys. Rev. D 106, 074012 (2022).
  35. Y.-H. Lin, H.-W. Hammer, and U.-G. Meißner, Phys. Rev. Lett. 128, 052002 (2022).
  36. M. Ablikim et al. (BESIII Collaboration), Phys. Rev. D 107, 072005 (2023).
  37. X. Cao, J.-P. Dai, and H. Lenske, Phys. Rev. D 105, L071503 (2022).
  38. R.-Q. Qian, Z.-W. Liu, X. Cao, and X. Liu, Phys. Rev. D 107, L091502 (2023).
  39. X.-W. Kang, J. Haidenbauer, and U.-G. Meißner, Phys. Rev. D 91, 074003 (2015).
  40. J. Haidenbauer, X. W. Kang, and U. G. Meißner, Nucl. Phys. A929, 102 (2014).
  41. Q.-H. Yang, L.-Y. Dai, D. Guo, J. Haidenbauer, X.-W. Kang, and U.-G. Meißner, Sci. Bull. 68, 2729 (2023).
  42. Q.-H. Yang, D. Guo, M.-Y. Li, L.-Y. Dai, J. Haidenbauer, and U.-G. Meißner, J. High Energy Phys. 08 (2024) 208.
  43. L.-Y. Dai, J. Haidenbauer, and U.-G. Meißner, J. High Energy Phys. 07 (2017) 078.
  44. L.-Y. Dai, J. Haidenbauer, and U.-G. Meißner, Phys. Rev. D 98, 014005 (2018).
  45. J. P. Dedonder, B. Loiseau, and S. Wycech, Phys. Rev. C 97, 065206 (2018).
  46. Q.-H. Yang, D. Guo, and L.-Y. Dai, Phys. Rev. D 107, 034030 (2023).
  47. X.-W. Kang, J. Haidenbauer, and U.-G. Meißner, J. High Energy Phys. 02 (2014) 113.
  48. D. Zhou and R. G. E. Timmermans, Phys. Rev. C 86, 044003 (2012).
  49. In Ref. [50], the authors took pp scattering as an example and fitted the data both with and without spin observables. They found that the resulting partial-wave amplitudes from these two approaches were in close agreement. For the tensor combination of the P3 waves at 100 and 210 MeV, the differences were only 0.5% and 2%, respectively. Also, they found that the situation in NN¯ PWA is comparable to the early NN PWA results.

  50. R. Timmermans, T. A. Rijken, and J. J. de Swart, Phys. Rev. C 52, 1145 (1995).
  51. B. El-Bennich, M. Lacombe, B. Loiseau, and S. Wycech, Phys. Rev. C 79, 054001 (2009).
  52. F. Sai, S. Sakamoto, and S. S. Yamamoto, Nucl. Phys. B213, 371 (1983).
  53. A. Bertin et al. (OBELIX Collaboration), Phys. Lett. B 369, 77 (1996).
  54. E. Klempt, C. Batty, and J.-M. Richard, Phys. Rep. 413, 197 (2005).
  55. M. Ablikim et al. (BESIII Collaboration), Phys. Rev. Lett. 108, 112003 (2012).
  56. J. P. Alexander et al. (CLEO Collaboration), Phys. Rev. D 82, 092002 (2010).
  57. E. Epelbaum, H. Krebs, and U.-G. Meißner, Eur. Phys. J. A 51, 53 (2015).
  58. B. Efron, Ann. Stat. 7, 1 (1979).
  59. P. R. Bevington and D. K. Robinson, Data Reduction and Error Analysis for the Physical Sciences (McGraw-Hill Education, New York, 2002).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation