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Quark-model search for compact cc¯uds pentaquark states

Emiko Hiyama1,2,3,*, Atsushi Hosaka4,5,†, Makoto Oka2,1,5,‡, and Georg Wolschin3,2,§

  • *Contact author: hiyama@riken.jp
  • †Contact author: hosaka@rcnp.osaka-u.ac.jp
  • ‡Contact author: makoto.oka@riken.jp
  • §Contact author: wolschin@uni-heidelberg.de
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Phys. Rev. D 113, 054006 – Published 4 March, 2026

DOI: https://doi.org/10.1103/j66g-k5g5

Abstract

A potential quark model is used to search for a Pcc¯s0=(cc¯uds)0, JP=1/2− pentaquark state that has recently been observed experimentally by LHCb Collaboration at 4338.2 MeV, with a width of 7.0 MeV and high statistical significance >15σ. Our model Hamiltonian reproduces the masses of the low-lying charmed and strange hadrons. We use the Gaussian expansion method to solve the five-body Schrödinger equation. Employing the real scaling method, including the relevant meson-baryon thresholds explicitly, sharp resonances are distinguished from the meson-baryon scattering states. We incorporate new color states of the color-octet meson and baryon configurations as well as the color-singlet configurations for the five-quark states. We find no JP=1/2− resonance close to the observed state, and also none in the JP=3/2− state. This increases the likelihood that Pcc¯s0 is a ΞcD¯ hadronic molecule rather than a compact state.

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References (32)

  1. M. Gell-Mann, A schematic model of baryons and mesons, Phys. Lett. 8, 214 (1964).
  2. A. Petermann, Propriétés de l’étrangeté et une formule de masse pour les mésons vectoriels, Nucl. Phys. 63, 349 (1965).
  3. G. Zweig, An SU(3) model for strong interaction symmetry and its breaking, Report No. CERN-TH-401, CERN, 1964.
  4. T. Nakano et al. (LEPS Collaboration), Evidence for a narrow baryon resonance in photoproduction from the neutron, Phys. Rev. Lett. 91, 012002 (2003).
  5. S. K. Choi et al. (Belle Collaboration), Observation of a narrow charmoniumlike state in exclusive B±→K±π+π−J/ψ decays, Phys. Rev. Lett. 91, 262001 (2003).
  6. K. H. Hicks, On the conundrum of the pentaquark, Eur. Phys. J. H 37, 1 (2012).
  7. M. Praszalowicz, Odyssey of the elusive Θ+, Acta Phys. Pol. B 56, 3-A8 (2025).
  8. T. Nakano et al. (LEPS2 Collaboration), Prospects for pentaquark baryon search with the upgraded LEPS2 facility, Acta Phys. Pol. B 56, 3-A13(2025).
  9. R. Aaij et al. (LHCb Collaboration), Observation of X(3872) production in pp collisions at s=7  TeV, Eur. Phys. J. C 72, 1972 (2012).
  10. A. Hosaka, T. Iijima, K. Miyabayashi, Y. Sakai, and S. Yasui, Exotic hadrons with heavy flavors: X, Y, Z, and related states, Prog. Theor. Exp. Phys. 2016, 062C01 (2016).
  11. LHCb Collaboration, Observation of structure in the J/ψ-pair mass spectrum, Sci. Bull. 65, 1983 (2020).
  12. 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).
  13. 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).
  14. R. Aaij et al. (LHCb Collaboration), Observation of a J/ψΛ resonance consistent with a strange pentaquark candidate in B−→J/ψΛp¯, Phys. Rev. Lett. 131, 031901 (2023).
  15. 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).
  16. E. Hiyama, A. Hosaka, M. Oka, and J.-M. Richard, Quark model estimate of hidden-charm pentaquark resonances, Phys. Rev. C 98, 045208 (2018).
  17. Q. Meng, E. Hiyama, K. U. Can, P. Gubler, M. Oka, A. Hosaka, and H. Zong, Compact ssscc¯ pentaquark states predicted by a quark model, Phys. Lett. B 798, 135028 (2019).
  18. M. Karliner and J. L. Rosner, New strange pentaquarks, Phys. Rev. D 106, 036024 (2022).
  19. I. Adachi et al. (Belle and Belle-II Collaborations), Search for Pcc¯s(4459)0 and Pcc¯s(4338)0 in γ(1S,2S) inclusive decays at Belle, Phys. Rev. Lett. 135, 041901 (2025).
  20. Y. Irie, M. Oka, and S. Yasui, Flavor-singlet hidden charm pentaquark, Phys. Rev. D 97, 034006 (2018).
  21. S. Takeuchi and M. Takizawa, The hidden charm pentaquarks are the hidden color-octet uud baryons?, Phys. Lett. B 764, 254 (2017).
  22. S. Takeuchi, A. Giachino, M. Takizawa, E. Santopinto, and M. Oka, Strange pentaquarks with a hidden heavy quark-antiquark pair, in Hadron Spectroscopy and Structure (World Scientific Publishing Company, 2020), p. 333, 10.1142/9789811219313_0056.
  23. A. Giachino, A. Hosaka, E. Santopinto, S. Takeuchi, M. Takizawa, and Y. Yamaguchi, Rich structure of the hidden-charm pentaquarks near threshold regions, Phys. Rev. D 108, 074012 (2023).
  24. E. Hiyama, Y. Kino, and M. Kamimura, Gaussian expansion method for few-body systems, Prog. Part. Nucl. Phys. 51, 223 (2003).
  25. E. Hiyama, M. Kamimura, A. Hosaka, H. Toki, and M. Yahiro, Five-body calculation of resonance and scattering states of pentaquark system, Phys. Lett. B 633, 237 (2006).
  26. J.-M. Richard, A. Valcarce, and J. Vijande, Stable heavy pentaquarks in constituent models, Phys. Lett. B 774, 710 (2017).
  27. C. Semay and B. Silvestre-Brac, Diquonia and potential models, Z. Phys. C 61, 271 (1994).
  28. B. Silvestre-Brac, Spectrum and static properties of heavy baryons, Few-Body Syst. 20, 1 (1996).
  29. R. L. Jaffe, Perhaps a stable dihyperon, Phys. Rev. Lett. 38, 195 (1977); 38, 617(E) (1977).
  30. M. Oka, Spin-flavor SU(6) symmetry for baryon-baryon interactions, in Akito Arima Memorial Volume (World Scientific, Singapore, 2025), p. 165, https://doi.org/10.1142/9789819813353_0013.
  31. J. Simons, Resonance state lifetimes from stabilization graphs, J. Chem. Phys. 75, 2465 (1981).
  32. S. Navas et al. (Particle Data Group), Review of particle physics, Phys. Rev. D 110, 030001 (2024).

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Phys. Rev. D 113, 054006– Published 4 March, 2026
  • Received 1 January 2026
  • Accepted 6 February 2026
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