- Open Access
Five-flavor molecular pentaquarks in the and systems
Phys. Rev. D 113, 094037 – Published 28 May, 2026
DOI: https://doi.org/10.1103/dm2v-v795
Abstract
The discovery of hidden-charm pentaquarks and open-flavor tetraquarks motivates the search for even more exotic hadron configurations. In this work, we investigate genuinely exotic molecular pentaquark candidates comprising five different flavors, focusing on the and systems. Employing the one-boson-exchange model with the wave mixing and coupled-channel dynamics, we identify the most promising molecular pentaquark candidates comprising five different flavors. These include the , , , and states with , the , , , and states with , the and states with , as well as the and states with . Importantly, these loosely bound states exhibit pronounced spin splittings across different total angular momentum configurations after incorporating the spin-dependent interactions or the channel couplings. In addition, we identify several possible isovector molecular pentaquark candidates within the and systems. Our predictions provide clear targets for experimental searches at facilities such as LHCb and Belle II, where the unique five-flavor quark configuration offers a distinctive experimental signature.
Physics Subject Headings (PhySH)
Article Text
References (129)
- M. Gell-Mann, A schematic model of baryons and mesons, Phys. Lett. 8, 214 (1964).
- G. Zweig, An SU(3) model for strong interaction symmetry and its breaking. Version 1, CERN Report No. CERN-TH-401, 1981.
- X. Liu, An overview of new particles, Chin. Sci. Bull. 59, 3815 (2014).
- H. X. Chen, W. Chen, X. Liu, and S. L. Zhu, The hidden-charm pentaquark and tetraquark states, Phys. Rep. 639, 1 (2016).
- A. Hosaka, T. Iijima, K. Miyabayashi, Y. Sakai, and S. Yasui, Exotic hadrons with heavy flavors: , , , and related states, Prog. Theor. Exp. Phys. 2016, 062C01 (2016).
- J. M. Richard, Exotic hadrons: Review and perspectives, Few Body Syst. 57, 1185 (2016).
- R. F. Lebed, R. E. Mitchell, and E. S. Swanson, Heavy-Quark QCD exotica, Prog. Part. Nucl. Phys. 93, 143 (2017).
- S. L. Olsen, T. Skwarnicki, and D. Zieminska, Nonstandard heavy mesons and baryons: Experimental evidence, Rev. Mod. Phys. 90, 015003 (2018).
- F. K. Guo, C. Hanhart, U. G. Meißner, Q. Wang, Q. Zhao, and B. S. Zou, Hadronic molecules, Rev. Mod. Phys. 90, 015004 (2018).
- Y. R. Liu, H. X. Chen, W. Chen, X. Liu, and S. L. Zhu, Pentaquark and tetraquark states, Prog. Part. Nucl. Phys. 107, 237 (2019).
- N. Brambilla, S. Eidelman, C. Hanhart, A. Nefediev, C. P. Shen, C. E. Thomas, A. Vairo, and C. Z. Yuan, The states: Experimental and theoretical status and perspectives, Phys. Rep. 873, 1 (2020).
- L. Meng, B. Wang, G. J. Wang, and S. L. Zhu, Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules, Phys. Rep. 1019, 1 (2023).
- H. X. Chen, W. Chen, X. Liu, Y. R. Liu, and S. L. Zhu, An updated review of the new hadron states, Rep. Prog. Phys. 86, 026201 (2023).
- M. Z. Liu, Y. W. Pan, Z. W. Liu, T. W. Wu, J. X. Lu, and L. S. Geng, Three ways to decipher the nature of exotic hadrons: Multiplets, three-body hadronic molecules, and correlation functions, Phys. Rep. 1108, 1 (2025).
- Z. G. Wang, Review of the QCD sum rules for exotic states, Front. Phys. (Beijing) 21, 016300 (2026).
- X. Wang, X. Liu, and Y. Gao, Colloquium: Hadron production in open-charm meson pair at collider, Rev. Mod. Phys. 98, 021001 (2026).
- Z. Y. Bai, D. Y. Chen, Qi-Huang, X. Liu, S. Q. Luo, and J. Z. Wang, Unquenched charmonium and beyond, arXiv:2602.19887.
- R. Aaij et al. (LHCb Collaboration), Observation of resonances consistent with pentaquark states in decays, Phys. Rev. Lett. 115, 072001 (2015).
- R. Aaij et al. (LHCb Collaboration), Observation of a narrow pentaquark state, , and of two-peak structure of the , Phys. Rev. Lett. 122, 222001 (2019).
- J. J. Wu, R. Molina, E. Oset, and B. S. Zou, Prediction of narrow and resonances with hidden charm above 4 GeV, Phys. Rev. Lett. 105, 232001 (2010).
- W. L. Wang, F. Huang, Z. Y. Zhang, and B. S. Zou, and states in a chiral quark model, Phys. Rev. C 84, 015203 (2011).
- Z. C. Yang, Z. F. Sun, J. He, X. Liu, and S. L. Zhu, The possible hidden-charm molecular baryons composed of anti-charmed meson and charmed baryon, Chin. Phys. C 36, 6 (2012).
- J. J. Wu, T.-S. H. Lee, and B. S. Zou, Nucleon resonances with hidden charm in coupled-channel models, Phys. Rev. C 85, 044002 (2012).
- X. Q. Li and X. Liu, A possible global group structure for exotic states, Eur. Phys. J. C 74, 3198 (2014).
- R. Chen, X. Liu, X. Q. Li, and S. L. Zhu, Identifying exotic hidden-charm pentaquarks, Phys. Rev. Lett. 115, 132002 (2015).
- M. Karliner and J. L. Rosner, New exotic meson and baryon resonances from doubly-heavy hadronic molecules, Phys. Rev. Lett. 115, 122001 (2015).
- R. Aaij et al. (LHCb Collaboration), Evidence of a structure and observation of excited states in the decay, Sci. Bull. 66, 1278 (2021).
- R. Aaij et al. (LHCb Collaboration), Observation of a resonance consistent with a strange pentaquark candidate in decays, Phys. Rev. Lett. 131, 031901 (2023).
- J. Hofmann and M. F. M. Lutz, Coupled-channel study of crypto-exotic baryons with charm, Nucl. Phys. A763, 90 (2005).
- J. J. Wu, R. Molina, E. Oset, and B. S. Zou, Dynamically generated and resonances in the hidden charm sector around 4.3 GeV, Phys. Rev. C 84, 015202 (2011).
- V. V. Anisovich, M. A. Matveev, J. Nyiri, A. V. Sarantsev, and A. N. Semenova, Nonstrange and strange pentaquarks with hidden charm, Int. J. Mod. Phys. A 30, 1550190 (2015).
- R. Chen, J. He, and X. Liu, Possible strange hidden-charm pentaquarks from and interactions, Chin. Phys. C 41, 103105 (2017).
- X. Z. Weng, X. L. Chen, W. Z. Deng, and S. L. Zhu, Hidden-charm pentaquarks and states, Phys. Rev. D 100, 016014 (2019).
- 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).
- 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).
- H. X. Chen, W. Chen, X. Liu, and X. H. Liu, Establishing the first hidden-charm pentaquark with strangeness, Eur. Phys. J. C 81, 409 (2021).
- M. L. Du, Z. H. Guo, and J. A. Oller, Insights into the nature of the , Phys. Rev. D 104, 114034 (2021).
- X. K. Dong, F. K. Guo, and B. S. Zou, A survey of heavy-antiheavy hadronic molecules, Prog. Phys. 41, 65 (2021).
- J. X. Lu, M. Z. Liu, R. X. Shi, and L. S. Geng, Understanding as a hadronic molecule in the decay, Phys. Rev. D 104, 034022 (2021).
- B. S. Zou, Building up the spectrum of pentaquark states as hadronic molecules, Sci. Bull. 66, 1258 (2021).
- Z. G. Wang and Q. Xin, Analysis of hidden-charm pentaquark molecular states with and without strangeness via the QCD sum rules, Chin. Phys. C 45, 123105 (2021).
- F. Z. Peng, M. J. Yan, M. Sánchez Sánchez, and M. P. Valderrama, The pentaquark from a combined effective field theory and phenomenological perspective, Eur. Phys. J. C 81, 666 (2021).
- J. T. Zhu, L. Q. Song, and J. He, and other possible molecular states from and interactions, Phys. Rev. D 103, 074007 (2021).
- Z. G. Wang, Analysis of the as the hidden-charm pentaquark state with QCD sum rules, Int. J. Mod. Phys. A 36, 2150071 (2021).
- R. Chen, Can the newly reported be a strange hidden-charm molecular pentaquark?, Phys. Rev. D 103, 054007 (2021).
- C. W. Xiao, J. J. Wu, and B. S. Zou, Molecular nature of and its heavy quark spin partners, Phys. Rev. D 103, 054016 (2021).
- K. Chen, R. Chen, L. Meng, B. Wang, and S. L. Zhu, Systematics of the heavy flavor hadronic molecules, Eur. Phys. J. C 82, 581 (2022).
- R. Chen and X. Liu, Mass behavior of hidden-charm open-strange pentaquarks inspired by the established molecular states, Phys. Rev. D 105, 014029 (2022).
- K. Chen, B. Wang, and S. L. Zhu, Heavy flavor molecular states with strangeness, Phys. Rev. D 105, 096004 (2022).
- X. Hu and J. Ping, Investigation of hidden-charm pentaquarks with strangeness , Eur. Phys. J. C 82, 118 (2022).
- H. Garcilazo and A. Valcarce, Hidden-flavor pentaquarks, Phys. Rev. D 106, 114012 (2022).
- K. Chen, Z. Y. Lin, and S. L. Zhu, Comparison between the and systems, Phys. Rev. D 106, 116017 (2022).
- M. Karliner and J. R. Rosner, New strange pentaquarks, Phys. Rev. D 106, 036024 (2022).
- F. L. Wang and X. Liu, Emergence of molecular-type characteristic spectrum of hidden-charm pentaquark with strangeness embodied in the and , Phys. Lett. B 835, 137583 (2022).
- F. Z. Peng, M. Z. Liu, Y. W. Pan, M. Sánchez Sánchez, and M. Pavon Valderrama, Five-flavor pentaquarks and other light- and heavy-flavor symmetry partners of the LHCb hidden-charm pentaquarks, Nucl. Phys. B983, 115936 (2022).
- C. W. Xiao, J. Nieves, E. Oset, J. J. Wu, and B. S. Zou, Is one state or two?, Rev. Mex. Fis. Suppl. 3, 0308045 (2022).
- X. W. Wang and Z. G. Wang, Study of isospin eigenstates of the pentaquark molecular states with strangeness, Int. J. Mod. Phys. A 37, 2250189 (2022).
- S. Clymton, H. J. Kim, and H. C. Kim, The effect of hidden-charm strange pentaquarks on the reaction, Rev. Mex. Fis. Suppl. 3, 0308040 (2022).
- J. Ferretti and E. Santopinto, The new , , and and the possible emergence of flavor pentaquark octets and tetraquark nonets, Sci. Bull. 67, 1209 (2022).
- 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).
- S. X. Nakamura and J. J. Wu, Pole determination of and possible in , Phys. Rev. D 108, L011501 (2023).
- M. J. Yan, F. Z. Peng, M. Sánchez Sánchez, and M. Pavon Valderrama, pentaquark and its partners in the molecular picture, Phys. Rev. D 107, 074025 (2023).
- K. Azizi, Y. Sarac, and H. Sundu, Investigation of the strange pentaquark candidate recently observed by LHCb, Phys. Rev. D 108, 074010 (2023).
- A. Feijoo, W. F. Wang, C. W. Xiao, J. J. Wu, E. Oset, J. Nieves, and B. S. Zou, A new look at the states from a molecular perspective, Phys. Lett. B 839, 137760 (2023).
- J. T. Zhu, S. Y. Kong, and J. He, and as molecular states in invariant mass spectra, Phys. Rev. D 107, 034029 (2023).
- P. G. Ortega, D. R. Entem, and F. Fernandez, Strange hidden-charm and pentaquarks and additional , and candidates in a quark model approach, Phys. Lett. B 838, 137747 (2023).
- L. Meng, B. Wang, and S. L. Zhu, Double thresholds distort the line shapes of the resonance, Phys. Rev. D 107, 014005 (2023).
- X. W. Wang and Z. G. Wang, Analysis of and related pentaquark molecular states via QCD sum rules, Chin. Phys. C 47, 013109 (2023).
- Z. Y. Yang, F. Z. Peng, M. J. Yan, M. Sánchez Sánchez, and M. Pavon Valderrama, Molecular pentaquarks from light-meson exchange saturation, Phys. Rev. D 111, 014012 (2025).
- V. M. Abazov et al. (D0 Collaboration), Evidence for a state, Phys. Rev. Lett. 117, 022003 (2016).
- R. Aaij et al. (LHCb Collaboration), Search for structure in the invariant mass spectrum, Phys. Rev. Lett. 117, 152003 (2016).
- T. Aaltonen et al. (CDF Collaboration), A search for the exotic meson with the collider detector at Fermilab, Phys. Rev. Lett. 120, 202006 (2018).
- A. M. Sirunyan et al. (CMS Collaboration), Search for the X(5568) state decaying into in proton-proton collisions at , Phys. Rev. Lett. 120, 202005 (2018).
- M. Aaboud et al. (ATLAS Collaboration), Search for a structure in the invariant mass spectrum with the ATLAS experiment, Phys. Rev. Lett. 120, 202007 (2018).
- R. Aaij et al. (LHCb Collaboration), A model-independent study of resonant structure in decays, Phys. Rev. Lett. 125, 242001 (2020).
- R. Aaij et al. (LHCb Collaboration), Amplitude analysis of the decay, Phys. Rev. D 102, 112003 (2020).
- R. Aaij et al. (LHCb Collaboration), Observation of new charmonium or charmoniumlike states in decays, Phys. Rev. Lett. 133, 131902 (2024).
- R. Molina and E. Oset, Molecular picture for the as a state and related states, Phys. Lett. B 811, 135870 (2020); 837, 137645(E) (2023).
- M. Z. Liu, J. J. Xie, and L. S. Geng, as a molecular state, Phys. Rev. D 102, 091502 (2020).
- H. X. Chen, W. Chen, R. R. Dong, and N. Su, and : Hadronic molecules or compact tetraquarks, Chin. Phys. Lett. 37, 101201 (2020).
- M. W. Hu, X. Y. Lao, P. Ling, and Q. Wang, and its heavy quark spin partners in molecular picture, Chin. Phys. C 45, 021003 (2021).
- S. Y. Kong, J. T. Zhu, D. Song, and J. He, Heavy-strange meson molecules and possible candidates , , and , Phys. Rev. D 104, 094012 (2021).
- S. S. Agaev, K. Azizi, and H. Sundu, New scalar resonance as a molecule: Mass and width, J. Phys. G 48, 085012 (2021).
- J. He and D. Y. Chen, Molecular picture for and , Chin. Phys. C 45, 063102 (2021).
- B. Wang and S. L. Zhu, How to understand the ?, Eur. Phys. J. C 82, 419 (2022).
- L. R. Dai, R. Molina, and E. Oset, Looking for the exotic and its partner in the reactions, Phys. Rev. D 105, 096022 (2022).
- Y. K. Chen, W. L. Wu, L. Meng, and S. L. Zhu, Unified description of the molecular bound states, molecular resonances, and compact tetraquark states in the quark potential model, Phys. Rev. D 109, 014010 (2024).
- Z. M. Ding, Q. Huang, and J. He, and in process , Eur. Phys. J. C 84, 822 (2024).
- Z. M. Ding, Q. Huang, and J. He, Roles of and molecular states in decay , Eur. Phys. J. C 85, 1133 (2025).
- X. K. Dong and B. S. Zou, Prediction of possible bound states, Eur. Phys. J. A 57, 139 (2021).
- J. J. Qi, Z. Y. Wang, Z. F. Zhang, and X. H. Guo, Studying the molecule in the Bethe–Salpeter equation approach, Eur. Phys. J. C 81, 639 (2021).
- H. Chen, H. R. Qi, and H. Q. Zheng, as a molecule, Eur. Phys. J. C 81, 812 (2021).
- F. L. Wang, S. Q. Luo, and X. Liu, Predicting charmed-strange molecular tetraquarks with and -doublet (anti-)charmed meson, arXiv:2510.17244.
- C. W. Shen and U. G. Meißner, Prediction of five-flavored pentaquarks, Phys. Lett. B 831, 137197 (2022).
- J. X. Lin, H. X. Chen, W. H. Liang, W. Y. Liu, and D. Zhou, Molecular pentaquark states with open charm and bottom flavors, Eur. Phys. J. A 60, 15 (2024).
- X. Chen and L. Ma, Recoil corrections to pentaquark molecules with an SU(3) anti-triplet heavy baryon, arXiv:2603.21572.
- S. Navas et al. (Particle Data Group), Review of particle physics, Phys. Rev. D 110, 030001 (2024).
- V. B. Berestetsky, E. M. Lifshitz, and L. P. Pitaevsky, Quantum Electrodynamics (Pergamon Press, New York, 1982).
- M. B. Wise, Chiral perturbation theory for hadrons containing a heavy quark, Phys. Rev. D 45, R2188 (1992).
- R. Casalbuoni, A. Deandrea, N. Di Bartolomeo, R. Gatto, F. Feruglio, and G. Nardulli, Light vector resonances in the effective chiral Lagrangian for heavy mesons, Phys. Lett. B 292, 371 (1992).
- T. M. Yan, H. Y. Cheng, C. Y. Cheung, G. L. Lin, Y. C. Lin, and H. L. Yu, Heavy quark symmetry and chiral dynamics, Phys. Rev. D 46, 1148 (1992); 55, 5851(E) (1997).
- R. Casalbuoni, A. Deandrea, N. Di Bartolomeo, R. Gatto, F. Feruglio, and G. Nardulli, Phenomenology of heavy meson chiral Lagrangians, Phys. Rep. 281, 145 (1997).
- M. Bando, T. Kugo, and K. Yamawaki, Nonlinear Realization and Hidden Local Symmetries, Phys. Rep. 164, 217 (1988).
- M. Harada and K. Yamawaki, Hidden local symmetry at loop: A new perspective of composite gauge boson and chiral phase transition, Phys. Rep. 381, 1 (2003).
- R. Chen, A. Hosaka, and X. Liu, Searching for possible -like molecular states from meson-baryon interaction, Phys. Rev. D 97, 036016 (2018).
- G. J. Ding, Are and or hadronic molecules?, Phys. Rev. D 79, 014001 (2009).
- R. Chen, F. L. Wang, A. Hosaka, and X. Liu, Exotic triple-charm deuteronlike hexaquarks, Phys. Rev. D 97, 114011 (2018).
- R. Chen, Z. F. Sun, X. Liu, and S. L. Zhu, Strong LHCb evidence supporting the existence of the hidden-charm molecular pentaquarks, Phys. Rev. D 100, 011502 (2019).
- F. L. Wang and X. Liu, Exotic double-charm molecular states with hidden or open strangeness and around 4.5–4.7 GeV, Phys. Rev. D 102, 094006 (2020).
- F. L. Wang and X. Liu, Investigating new type of doubly charmed molecular tetraquarks composed of charmed mesons in the and doublets, Phys. Rev. D 104, 094030 (2021).
- F. L. Wang, X. D. Yang, R. Chen, and X. Liu, Correlation of the hidden-charm molecular tetraquarks and the charmoniumlike structures existing in the process, Phys. Rev. D 104, 094010 (2021).
- F. L. Wang, R. Chen, and X. Liu, Prediction of hidden-charm pentaquarks with double strangeness, Phys. Rev. D 103, 034014 (2021).
- F. L. Wang, X. D. Yang, R. Chen, and X. Liu, Hidden-charm pentaquarks with triple strangeness due to the interactions, Phys. Rev. D 103, 054025 (2021).
- X. D. Yang, F. L. Wang, Z. W. Liu, and X. Liu, Newly observed X(4630): A new charmoniumlike molecule, Eur. Phys. J. C 81, 807 (2021).
- F. L. Wang, R. Chen, and X. Liu, A new group of doubly charmed molecule with -doublet charmed meson pair, Phys. Lett. B 835, 137502 (2022).
- F. L. Wang and X. Liu, Higher molecular pentaquarks arising from the interactions, Phys. Rev. D 108, 054028 (2023).
- N. Yalikun, X. K. Dong, and B. S. Zou, Molecular states in systems, Chin. Phys. C 47, 123101 (2023).
- F. L. Wang and X. Liu, New type of doubly charmed molecular pentaquarks containing most strange quarks: Mass spectra, radiative decays, and magnetic moments, Phys. Rev. D 108, 074022 (2023).
- F. L. Wang, R. Chen, Z. W. Liu, and X. Liu, Probing new types of states inspired by the interaction between -wave charmed baryon and anti-charmed meson in a doublet, Phys. Rev. C 101, 025201 (2020).
- F. L. Wang and X. Liu, Surveying the mass spectra and the electromagnetic properties of the molecular pentaquarks, Phys. Rev. D 109, 014043 (2024).
- R. Machleidt, K. Holinde, and C. Elster, The Bonn meson exchange model for the nucleon nucleon interaction, Phys. Rep. 149, 1 (1987).
- E. Epelbaum, H. W. Hammer, and U. G. Meissner, Modern theory of nuclear forces, Rev. Mod. Phys. 81, 1773 (2009).
- A. Esposito, A. L. Guerrieri, F. Piccinini, A. Pilloni, and A. D. Polosa, Four-quark hadrons: An updated review, Int. J. Mod. Phys. A 30, 1530002 (2015).
- N. A. Tornqvist, From the deuteron to deusons, an analysis of deuteron-like meson-meson bound states, Z. Phys. C 61, 525 (1994).
- N. A. Tornqvist, On deusons or deuteron-like meson-meson bound states, Nuovo Cimento Soc. Ital. Fis. 107A, 2471 (1994).
- R. Chen, A. Hosaka, and X. Liu, Prediction of triple-charm molecular pentaquarks, Phys. Rev. D 96, 114030 (2017).
- N. Isgur and M. B. Wise, Weak decays of heavy mesons in the static quark approximation, Phys. Lett. B 232, 113 (1989).
- N. Isgur and M. B. Wise, Weak transition form factors between heavy mesons, Phys. Lett. B 237, 527 (1990).
- I. Adachi et al. (Belle Collaboration and Belle II Collaboration), Search for and in inclusive decays at Belle, Phys. Rev. Lett. 135, 041901 (2025).