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  • Open Access

Axial charges and magnetic moments of the decuplet pentaquark family

Hao-Song Li*

  • *Contact author: haosongli@nwu.edu.cn

Phys. Rev. D 113, 056017 – Published 19 March, 2026

DOI: https://doi.org/10.1103/32n9-j3pp

Abstract

We present a systematic calculation of the axial charges and magnetic moments for the decuplet of hidden-charm molecular pentaquarks within the framework of the constituent quark model. Our findings reveal that the axial charges of these states are comparable in magnitude to that of the nucleon. Furthermore, we find that their magnetic moments obey a set of sum rules which hold for states sharing the same spin-flavor configuration, even in the presence of SU(3) flavor symmetry breaking. These results provide crucial insights into the internal structure and dynamics of multiquark hadrons, offering valuable guidance for future experimental and theoretical investigations, μPψΔ+−μPψΔ0+μPψsΣ−−μPψsΣ++μPψssN0−μPψssN−=0,μPψΔ+++μPψΔ−+μPψsssΛ−=3μPψsΣ0.

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References (49)

  1. M. Gell-Mann, A schematic model of baryons and mesons, Phys. Lett. 8, 214 (1964).
  2. R. Aaij et al. (LHCb Collaboration), Observation of J/ψϕ structures consistent with exotic states from amplitude analysis of B+→J/ψϕK+ decays, Phys. Rev. Lett. 118, 022003 (2017).
  3. M. Ablikim et al. (BESIII Collaboration), Evidence of two resonant structures in e+e−→π+π−hc, Phys. Rev. Lett. 118, 092002 (2017).
  4. R. Aaij et al. (LHCb Collaboration), Evidence for an ηc(1S)π− resonance in B0→ηc(1S)K+π− decays, Eur. Phys. J. C 78, 1019 (2018).
  5. R. Aaij et al. (LHCb Collaboration), Observation of J/ψp resonances consistent with pentaquark states in Λb0→J/ψK−p decays, Phys. Rev. Lett. 115, 072001 (2015).
  6. R. Aaij et al. (LHCb Collaboration), Observation of a narrow pentaquark state, Pc(4312)+, and of two-peak structure of the Pc(4450)+, Phys. Rev. Lett. 122, 222001 (2019).
  7. R. Aaij et al. (LHCb Collaboration), Evidence of a J/ψΛ structure and observation of excited Ξ− states in the Ξb−→J/ψΛK− decay, Sci. Bull. 66, 1278 (2021).
  8. R. Aaij et al. (LHCb Collaboration), Evidence for a new structure in the J/ψp and J/ψp¯ systems in Bs0→J/ψpp¯ decays, Phys. Rev. Lett. 128, 062001 (2022).
  9. R. Aaij et al. (LHCb Collaboration), Observation of a J/ψΛ resonance consistent with a strange pentaquark candidate in B−→J/ψΛp¯ decays, Phys. Rev. Lett. 131, 031901 (2023).
  10. I. Adachi et al. (Belle and Belle-II Collaborations), Search for Pcc¯s(4459)0 and Pcc¯s(4338)0 in υ(1S,2S) inclusive decays at Belle, Phys. Rev. Lett. 135, 041901 (2025).
  11. T. Gershon (LHCb Collaboration), Exotic hadron naming convention, arXiv:2206.15233.
  12. C. R. Deng, Compact hidden charm pentaquark states and QCD isomers, Phys. Rev. D 105, 116021 (2022).
  13. B. Wang, L. Meng, and S. L. Zhu, Spectrum of the strange hidden charm molecular pentaquarks in chiral effective field theory, Phys. Rev. D 101, 034018 (2020).
  14. C. W. Xiao, J. Nieves, and E. Oset, Prediction of hidden charm strange molecular baryon states with heavy quark spin symmetry, Phys. Lett. B 799, 135051 (2019).
  15. M. Z. Liu, Y. W. Pan, and L. S. Geng, Can discovery of hidden charm strange pentaquark states help determine the spins of Pc(4440) and Pc(4457) ?, Phys. Rev. D 103, 034003 (2021).
  16. F. Z. Peng, M. J. Yan, M. Sánchez Sánchez, and M. P. Valderrama, The Pcs(4459) pentaquark from a combined effective field theory and phenomenological perspective, Eur. Phys. J. C 81, 666 (2021).
  17. J. T. Zhu, L. Q. Song, and J. He, Pcs(4459) and other possible molecular states from Ξc(*)D¯(*) and Ξc′D¯(*) interactions, Phys. Rev. D 103, 074007 (2021).
  18. M. L. Du, Z. H. Guo, and J. A. Oller, Insights into the nature of the Pcs(4459), Phys. Rev. D 104, 114034 (2021).
  19. R. Chen, Strong decays of the newly Pcs(4459) as a strange hidden-charm ΞcD¯* molecule, Eur. Phys. J. C 81, 122 (2021).
  20. F. Yang, Y. Huang, and H. Q. Zhu, Strong decays of the Pcs(4459) as a ΞcD¯* molecule, Sci. China Phys. Mech. Astron. 64, 121011 (2021).
  21. F. K. Guo, C. Hanhart, U. G. Meißner, Q. Wang, Q. Zhao, and B. S. Zou, Hadronic molecules, Rev. Mod. Phys. 90, 015004 (2018); 94, 029901(E) (2022).
  22. X. K. Dong, F. K. Guo, and B. S. Zou, A survey of heavy-antiheavy hadronic molecules, Prog. Phys. 41, 65 (2021).
  23. Z. Y. Yang, Q. Wang, and W. Chen, Mass spectra of strange double charm pentaquarks with strangeness S=−1, Phys. Rev. D 110, 056022 (2024).
  24. L. Roca, J. Song, and E. Oset, Study of hidden-charm, doubly-strange pentaquarks in Λb→J/ΨΞ−K+ and Ξb→J/ΨΞ−π+, Eur. Phys. J. C 86, 100 (2026).
  25. X. Liu, Y. Tan, X. Chen, D. Chen, H. Huang, and J. Ping, Study on the properties of hidden-charm pentaquarks with double strangeness, Phys. Rev. D 112, 014036 (2025).
  26. S. Clymton, H. C. Kim, and T. Mart, Double-strangeness hidden-charm pentaquarks, Phys. Rev. D 112, 034015 (2025).
  27. M. P. Mendenhall et al. (UCNA Collaboration), Precision measurement of the neutron β-decay asymmetry, Phys. Rev. C 87, 032501 (2013).
  28. D. Mund, B. Maerkisch, M. Deissenroth, J. Krempel, M. Schumann, H. Abele, A. Petoukhov, and T. Soldner, Determination of the weak axial vector coupling from a measurement of the beta-asymmetry parameter A in neutron beta decay, Phys. Rev. Lett. 110, 172502 (2013).
  29. M. L. Goldberger and S. B. Treiman, Decay of the |pi meson, Phys. Rev. 110, 1178 (1958).
  30. J. Bijnens, H. Sonoda, and M. B. Wise, On the validity of chiral perturbation theory for K0K¯0 mixing, Phys. Rev. Lett. 53, 2367 (1984).
  31. E. E. Jenkins and A. V. Manohar, Chiral corrections to the baryon axial currents, Phys. Lett. B 259, 353 (1991).
  32. S. L. Zhu, G. Sacco, and M. J. Ramsey-Musolf, Recoil order chiral corrections to baryon octet axial currents and large Nc QCD, Phys. Rev. D 66, 034021 (2002).
  33. K. S. Choi, W. Plessas, and R. F. Wagenbrunn, Axial charges of octet and decuplet baryons, Phys. Rev. D 82, 014007 (2010).
  34. H. Dahiya, S. Dutt, A. Kumar, and M. Randhawa, Axial-vector charges of the spin 12+ and spin 32+ light and charmed baryons in the SU(4) chiral quark constituent model, Eur. Phys. J. Plus 138, 441 (2023).
  35. F. Gao and H. S. Li, Magnetic moments of hidden-charm strange pentaquark states, Chin. Phys. C 46, 123111 (2022).
  36. F. Guo and H. S. Li, Analysis of the hidden-charm pentaquark states based on magnetic moment and transition magnetic moment, Eur. Phys. J. C 84, 392 (2024).
  37. G. J. Wang, R. Chen, L. Ma, X. Liu, and S. L. Zhu, Magnetic moments of the hidden-charm pentaquark states, Phys. Rev. D 94, 094018 (2016).
  38. U. Ozdem, Magnetic dipole moments of the hidden-charm pentaquark states: Pc(4440), Pc(4457) and Pcs(4459), Eur. Phys. J. C 81, 277 (2021).
  39. E. Ortiz-Pacheco, R. Bijker, and C. Fernández-Ramírez, Hidden charm pentaquarks: Mass spectrum, magnetic moments, and photocouplings, J. Phys. G 46, 065104 (2019).
  40. H. S. Li, F. Guo, Y. D. Lei, and F. Gao, Magnetic moments and axial charges of the octet hidden-charm molecular pentaquark family, Phys. Rev. D 109, 094027 (2024).
  41. Y. D. Lei and H. S. Li, Radiative decay and axial-vector decay behaviors of octet pentaquark states, Phys. Rev. D 110, 056026 (2024).
  42. H. S. Li, Molecular pentaquark magnetic moments in heavy pentaquark chiral perturbation theory, Phys. Rev. D 109, 114039 (2024).
  43. M. Karliner and J. L. Rosner, New exotic meson and baryon resonances from doubly-heavy hadronic molecules, Phys. Rev. Lett. 115, 122001 (2015).
  44. S. X. Nakamura, A. Hosaka, and Y. Yamaguchi, Pc(4312)+ and Pc(4337)+ as interfering ΣcD¯ and ΛcD¯* threshold cusps, Phys. Rev. D 104, L091503 (2021).
  45. X. Z. Ling, J. X. Lu, M. Z. Liu, and L. S. Geng, Pc(4457)→Pc(4312) π/γ in the molecular picture, Phys. Rev. D 104, 074022 (2021).
  46. G. J. Wang, L. Meng, H. S. Li, Z. W. Liu, and S. L. Zhu, Magnetic moments of the spin-12 singly charmed baryons in chiral perturbation theory, Phys. Rev. D 98, 054026 (2018).
  47. S. R. Coleman and S. L. Glashow, Electrodynamic properties of baryons in the unitary symmetry scheme, Phys. Rev. Lett. 6, 423 (1961).
  48. T. P. Cheng and L. F. Li, Why naive quark model can yield a good account of the baryon magnetic moments, Phys. Rev. Lett. 80, 2789–2792 (1998).
  49. H. Dahiya and M. Gupta, Octet magnetic moments and the Coleman-Glashow sum rule violation in the chiral quark model, Phys. Rev. D 66, 051501 (2002).

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