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  • Open Access

Role of the short-range dynamics in a simultaneous interpretation of Pcs pentaquarks as Ξc(′,*)D¯(*) molecules

Ziye Wang*, Nijiati Yalikun†, and Yakefu Reyimuaji‡

  • *Contact author: zyewang@163.com
  • †Contact author: nijiati@xju.edu.cn
  • ‡Contact author: yreyi@hotmail.com

Phys. Rev. C 112, 045205 – Published 29 October, 2025

DOI: https://doi.org/10.1103/p4m3-ml1k

Abstract

We investigate hidden-charm molecular states in Ξc(′,*)D¯(*) systems using the one-boson exchange model. By regulating the short-range interactions with parameter a and cutoff Λ, we found ten bound states in isoscalar systems. Our analysis reveals that if the LHCb Collaboration's Pcs(4459) and Belle Collaboration's Pcs(4472) pentaqurks are indeed distinct states, their mass splitting can be resolved through Ξc′D¯−ΞcD¯* coupled-channel dynamics using consistent model parameters. This framework assigns 3/2− and 1/2− spin-parity quantum numbers to Pcs(4459) and Pcs(4472), respectively. With this consistent model parameter, we predict several new molecular candidates in the 4.3–4.7 GeV mass region, demonstrating the crucial interplay between coupled-channel effects and short-range dynamics in understanding hidden-charm pentaquarks as hadronic molecules. Additionally, we investigate the effects of Ληc and ΛJ/ψ decay channels on the predicted molecular states, showing how these channels influence pole positions and provide insights into the detectability of these states through different production mechanisms.

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References (95)

  1. M. Gell-Mann, Phys. Lett. 8, 214 (1964).
  2. G. Zweig, An SU(3) model for strong interaction symmetry and its breaking. Version 2, in Developments in the Quark Theory of Hadrons: Vol. 1, 1964–1978, edited by D. B. Lichtenberg and S. P. Rosen (Hadronic, Palm Harbor, FL, 1978), pp. 22–101.
  3. R. F. Lebed, R. E. Mitchell, and E. S. Swanson, Prog. Part. Nucl. Phys. 93, 143 (2017).
  4. A. Esposito, A. Pilloni, and A. D. Polosa, Phys. Rep. 668, 1 (2017).
  5. F.-K. Guo, C. Hanhart, Ulf-G. Meißner, Q. Wang, Q. Zhao, and B.-S. Zou, Rev. Mod. Phys. 90, 015004 (2018); 94, 029901(E) (2022).
  6. Y.-R. Liu, H.-X. Chen, W. Chen, X. Liu, and S.-L. Zhu, Prog. Part. Nucl. Phys. 107, 237 (2019).
  7. H.-X. Chen, W. Chen, X. Liu, Y.-R. Liu, and S.-L. Zhu, Rep. Prog. Phys. 86, 026201 (2023).
  8. C. Hanhart, arXiv:2504.06043.
  9. Z.-G. Wang, Front. Phys. (Beijing) 21, 016300 (2026).
  10. R. Aaij et al. (LHCb Collaboration), Phys. Rev. Lett. 115, 072001 (2015).
  11. R. Aaij et al. (LHCb Collaboration), Phys. Rev. Lett. 122, 222001 (2019).
  12. R. Aaij et al. (LHCb Collaboration), Sci. Bull. 66, 1278 (2021).
  13. R. Aaij et al. (LHCb Collaboration), Phys. Rev. Lett. 128, 062001 (2022).
  14. R. Aaij et al. (LHCb Collaboration), Phys. Rev. Lett. 131, 031901 (2023).
  15. X.-K. Dong, F.-K. Guo, and B.-S. Zou, Phys. Rev. Lett. 126, 152001 (2021).
  16. H.-X. Chen, W. Chen, X. Liu, and S.-L. Zhu, Phys. Rep. 639, 1 (2016).
  17. 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).
  18. Y. Yamaguchi, A. Hosaka, S. Takeuchi, and M. Takizawa, J. Phys. G 47, 053001 (2020).
  19. X.-K. Dong, F.-K. Guo, and B.-S. Zou, Progr. Phys. 41, 65 (2021).
  20. X.-K. Dong, F.-K. Guo, and B.-S. Zou, Commun. Theor. Phys. 73, 125201 (2021).
  21. J.-J. Wu, R. Molina, E. Oset, and B. S. Zou, Phys. Rev. Lett. 105, 232001 (2010).
  22. J.-J. Wu, R. Molina, E. Oset, and B. S. Zou, Phys. Rev. C 84, 015202 (2011).
  23. J.-J. Wu, L. Zhao, and B. S. Zou, Phys. Lett. B 709, 70 (2012).
  24. W. L. Wang, F. Huang, Z. Y. Zhang, and B. S. Zou, Phys. Rev. C 84, 015203 (2011).
  25. Z.-C. Yang, Z.-F. Sun, J. He, X. Liu, and S.-L. Zhu, Chin. Phys. C 36, 6 (2012).
  26. J.-J. Wu, T. S. H. Lee, and B. S. Zou, Phys. Rev. C 85, 044002 (2012).
  27. C. W. Xiao, J. Nieves, and E. Oset, Phys. Rev. D 88, 056012 (2013).
  28. M. Karliner and J. L. Rosner, Phys. Rev. Lett. 115, 122001 (2015).
  29. M.-Z. Liu, Y.-W. Pan, F.-Z. Peng, M. S. Sánchez, L.-S. Geng, A. Hosaka, and M. P. Valderrama, Phys. Rev. Lett. 122, 242001 (2019).
  30. C. W. Xiao, J. Nieves, and E. Oset, Phys. Rev. D 100, 014021 (2019).
  31. M.-L. Du, V. Baru, F.-K. Guo, C. Hanhart, Ulf-G. Meißner, J. A. Oller, and Q. Wang, Phys. Rev. Lett. 124, 072001 (2020).
  32. M.-L. Du, V. Baru, F.-K. Guo, C. Hanhart, U.-G. Meißner, J. A. Oller, and Q. Wang, J. High Energy Phys. 08 (2021) 157.
  33. M. Karliner and J. L. Rosner, Phys. Rev. D 106, 036024 (2022).
  34. F.-L. Wang and X. Liu, Phys. Lett. B 835, 137583 (2022).
  35. M.-J. Yan, F.-Z. Peng, M. Sánchez Sánchez, and M. P. Valderrama, Phys. Rev. D 107, 074025 (2023).
  36. L. Meng, B. Wang, and S.-L. Zhu, Phys. Rev. D 107, 014005 (2023).
  37. Z.-Y. Yang, F.-Z. Peng, M.-J. Yan, M. S. Sánchez, and M. P. Valderrama, Phys. Rev. D 111, 014012 (2025).
  38. M.-Z. Liu, Y.-W. Pan, and L.-S. Geng, Phys. Rev. D 103, 034003 (2021).
  39. R. Chen, Phys. Rev. D 103, 054007 (2021).
  40. Z.-G. Wang, Int. J. Mod. Phys. A 36, 2150071 (2021).
  41. F.-Z. Peng, M.-J. Yan, M. Sánchez Sánchez, and M. P. Valderrama, Eur. Phys. J. C 81, 666 (2021).
  42. H.-X. Chen, W. Chen, X. Liu, and X.-H. Liu, Eur. Phys. J. C 81, 409 (2021).
  43. M.-L. Du, Z.-H. Guo, and J. A. Oller, Phys. Rev. D 104, 114034 (2021).
  44. C. W. Xiao, J. J. Wu, and B. S. Zou, Phys. Rev. D 103, 054016 (2021).
  45. A. Feijoo, W.-F. Wang, C.-W. Xiao, J.-J. Wu, E. Oset, J. Nieves, and B.-S. Zou, Phys. Lett. B 839, 137760 (2023).
  46. S. X. Nakamura and J. J. Wu, Phys. Rev. D 108, L011501 (2023).
  47. I. Adachi et al. (Belle, Belle II Collaborations), arXiv:2502.09951.
  48. J. He and D.-Y. Chen, Eur. Phys. J. C 79, 887 (2019).
  49. R. Chen, Z.-F. Sun, X. Liu, and S.-L. Zhu, Phys. Rev. D 100, 011502(R) (2019).
  50. M.-Z. Liu, T.-W. Wu, M. S. Sánchez, M. P. Valderrama, L.-S. Geng, and J.-J. Xie, Phys. Rev. D 103, 054004 (2021).
  51. N. Yalikun, Y.-H. Lin, F.-K. Guo, Y. Kamiya, and B.-S. Zou, Phys. Rev. D 104, 094039 (2021).
  52. N. Yalikun, X.-K. Dong, and B.-S. Zou, Chin. Phys. C 47, 123101 (2023).
  53. M. B. Voloshin and L. B. Okun, JETP Lett. 23, 333 (1976).
  54. N. A. Tornqvist, Phys. Rev. Lett. 67, 556 (1991).
  55. B.-S. Zou, Sci. China Phys. Mech. Astron. 68, 232031 (2025).
  56. X. Liu, Z.-G. Luo, Y.-R. Liu, and S.-L. Zhu, Eur. Phys. J. C 61, 411 (2009).
  57. F.-L. Wang and X. Liu, Phys. Rev. D 102, 094006 (2020).
  58. R. Chen, Eur. Phys. J. C 81, 122 (2021).
  59. J.-Z. Wang, Z.-Y. Lin, B. Wang, L. Meng, and S.-L. Zhu, Phys. Rev. D 110, 114003 (2024).
  60. C. E. Thomas and F. E. Close, Phys. Rev. D 78, 034007 (2008).
  61. X.-Z. Ling, M.-Z. Liu, and L.-S. Geng, Eur. Phys. J. C 81, 1090 (2021).
  62. R. Xu, L. Meng, H.-X. Zhu, N. Li, and W. Chen, Phys. Rev. D 111, 094015 (2025).
  63. M. B. Wise, Phys. Rev. D 45, R2188 (1992).
  64. A. F. Falk and M. E. Luke, Phys. Lett. B 292, 119 (1992).
  65. T.-M. Yan, H.-Y. Cheng, C.-Y. Cheung, G.-L. Lin, Y. C. Lin, and H.-L. Yu, Phys. Rev. D 46, 1148 (1992); 55, 5851(E) (1997).
  66. R. Casalbuoni, A. Deandrea, N. Di Bartolomeo, R. Gatto, F. Feruglio, and G. Nardulli, Phys. Rep. 281, 145 (1997).
  67. Y.-R. Liu and M. Oka, Phys. Rev. D 85, 014015 (2012).
  68. J.-T. Zhu, L.-Q. Song, and J. He, Phys. Rev. D 103, 074007 (2021).
  69. F.-L. Wang and X. Liu, Phys. Rev. D 109, 014043 (2024).
  70. G. Breit, Phys. Rev. 34, 553 (1929).
  71. G. Breit, Phys. Rev. 36, 383 (1930).
  72. J.-X. Lu, L.-S. Geng, and M. P. Valderrama, Phys. Rev. D 99, 074026 (2019).
  73. N. A. Tornqvist, Z. Phys. C 61, 525 (1994).
  74. R. Chen, A. Hosaka, and X. Liu, Phys. Rev. D 96, 116012 (2017).
  75. N. Yalikun and B.-S. Zou, Phys. Rev. D 105, 094026 (2022).
  76. G.-J. Ding, Phys. Rev. D 79, 014001 (2009).
  77. L. Meng, B. Wang, G.-J. Wang, and S.-L. Zhu, Phys. Rev. D 100, 014031 (2019).
  78. C. Isola, M. Ladisa, G. Nardulli, and P. Santorelli, Phys. Rev. D 68, 114001 (2003).
  79. S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024).
  80. U. G. Meissner, Comments Nucl. Part. Phys. 20, 119 (1991).
  81. B. Wu, X.-H. Cao, X.-K. Dong, and F.-K. Guo, Phys. Rev. D 109, 034026 (2024).
  82. N. Yalikun, X.-K. Dong, and Ulf-G. Meißner, Phys. Rev. D 111, 094036 (2025).
  83. J. R. Taylor, Scattering Theory: The Quantum Theory on Nonrelativistic Collisions (Wiley, New York, 1972), pp. 382–410.
  84. A. Feijoo, V. K. Magas, A. Ramos, and E. Oset, Eur. Phys. J. C 76, 446 (2016).
  85. J.-X. Lu, E. Wang, J.-J. Xie, L.-S. Geng, and E. Oset, Phys. Rev. D 93, 094009 (2016).
  86. R. Chen, J. He, and X. Liu, Chin. Phys. C 41, 103105 (2017).
  87. C. W. Xiao, J. Nieves, and E. Oset, Phys. Lett. B 799, 135051 (2019).
  88. E. J. Garzon and E. Oset, Eur. Phys. J. A 48, 5 (2012).
  89. M. Döring, C. Hanhart, F. Huang, S. Krewald, and U. G. Meissner, Nucl. Phys. A 829, 170 (2009).
  90. B. Wang, H. Xu, X. Liu, D.-Y. Chen, S. Coito, and E. Eichten, Front. Phys. 11, 111402 (2016).
  91. Y. Shimizu and M. Harada, Phys. Rev. D 96, 094012 (2017).
  92. J. J. de Swart, Rev. Mod. Phys. 35, 916 (1963), 37, 326(E) (1965).
  93. E. J. Garzon and J.-J. Xie, Phys. Rev. C 92, 035201 (2015).
  94. Q.-F. Lü and Y.-B. Dong, Phys. Rev. D 93, 074020 (2016).
  95. Y.-H. Lin, C.-W. Shen, F.-K. Guo, and B.-S. Zou, Phys. Rev. D 95, 114017 (2017).

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