- Open Access
Predicting charmed-strange molecular tetraquarks with and -doublet charmed or anticharmed meson
Phys. Rev. D 114, 014030 – Published 16 July, 2026
DOI: https://doi.org/10.1103/6llp-6p87
Abstract
In this work, we first present a systematic investigation of the -type charmed-strange molecular tetraquark candidates composed of a meson and a -doublet anticharmed meson using the one-boson-exchange model, which exhibit exotic flavor content . Our results suggest that the states with and the states with represent the most promising candidates of the -type charmed-strange molecular tetraquarks, while the coupled system with and the coupled system with can only be regarded as the possible candidates of the -type charmed-strange molecular tetraquarks. We further extend our analysis to the systems, where our results suggest a series of -type charmed-strange molecular tetraquark candidates. These findings provide a comprehensive picture of the molecular spectrum in the charmed-strange tetraquark sector composed of -wave kaons and (anti)charmed mesons in the -doublet and can be tested in future experimental studies.
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References (69)
- 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).
- 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, and 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).
- 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 pairs at colliders, Rev. Mod. Phys. 98, 021001 (2026).
- Z. Y. Bai, D. Y. Chen, Q. 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 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).
- B. Aubert et al. (BABAR Collaboration), Observation of a narrow meson decaying to at a mass of , Phys. Rev. Lett. 90, 242001 (2003).
- D. Besson et al. (CLEO Collaboration), Observation of a narrow resonance of mass decaying to and confirmation of the state, Phys. Rev. D 68, 032002 (2003); 75, 119908(E) (2007).
- 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).
- S. Navas et al. (Particle Data Group), Review of particle physics, Phys. Rev. D 110, 030001 (2024).
- E. Klempt, F. Bradamante, A. Martin, and J. M. Richard, Antinucleon nucleon interaction at low energy: Scattering and protonium, Phys. Rep. 368, 119 (2002).
- H. Y. Cheng and K. C. Yang, Charmless hadronic decays into a tensor meson, Phys. Rev. D 83, 034001 (2011).
- 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, 5851E(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).
- G. J. Ding, Are and or hadronic molecules?, Phys. Rev. D 79, 014001 (2009).
- F. L. Wang, S. Q. Luo, R. Q. Qian, and X. Liu, Spectroscopic properties of double-strangeness molecular tetraquarks, Phys. Rev. D 110, 114041 (2024).
- M. Z. Liu, J. J. Xie, and L. S. Geng, as a molecular state, Phys. Rev. D 102, 091502 (2020).
- J. Z. Wang, Z. Y. Lin, B. Wang, L. Meng, and S. L. Zhu, Double pole structures of as the -wave resonances, Phys. Rev. D 110, 114003 (2024).
- D. O. Riska and G. E. Brown, Nucleon resonance transition couplings to vector mesons, Nucl. Phys. A679, 577 (2001).
- F. L. Wang, R. Chen, Z. W. Liu, and X. Liu, Possible triple-charm molecular pentaquarks from interactions, Phys. Rev. D 99, 054021 (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, 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, 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).
- X. D. Yang, F. L. Wang, Z. W. Liu, and X. Liu, Newly observed : 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).
- Z. P. Wang, F. L. Wang, G. J. Wang, and X. Liu, Probing exotic resonances from deeply bound charmoniumlike molecules: Insights for identifying exotic hadrons, Phys. Rev. D 110, L051501 (2024).
- L. C. Sheng, J. Y. Huo, R. Chen, F. L. Wang, and X. Liu, Exploring the mass spectrum and electromagnetic property of the and molecules, Phys. Rev. D 110, 054044 (2024).
- R. Chen and Q. Huang, From the isovector molecular explanation of the newly to possible charmed-strange molecular pentaquarks, arXiv:2208.10196.
- R. Molina, T. Branz, and E. Oset, A new interpretation for the and the prediction of novel exotic charmed mesons, Phys. Rev. D 82, 014010 (2010).
- C. Isola, M. Ladisa, G. Nardulli, and P. Santorelli, Charming penguins in decays, Phys. Rev. D 68, 114001 (2003).
- V. B. Berestetsky, E. M. Lifshitz, and L. P. Pitaevsky, Quantum Electrodynamics (Pergamon Press, New York, 1982).
- N. A. Tornqvist, On deusons or deuteron-like meson-meson bound-states, Nuovo Cimento Soc. Ital. Fis. 107A, 2471 (1994).
- N. A. Tornqvist, From the deuteron to deusons, an analysis of deuteron-like meson-meson bound states, Z. Phys. C 61, 525 (1994).
- R. Chen, A. Hosaka, and X. Liu, Heavy molecules and one--exchange model, Phys. Rev. D 96, 116012 (2017).
- J. He and D. Y. Chen, Molecular picture for and , Chin. Phys. C 45, 063102 (2021).
- X. K. Dong and B. S. Zou, Prediction of possible bound states, Eur. Phys. J. A 57, 139 (2021).
- 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).
- 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).
- F. K. Guo and U. G. Meissner, More kaonic bound states and a comprehensive interpretation of the states, Phys. Rev. D 84, 014013 (2011).
- 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).
- N. Brambilla, A. Mohapatra, T. Scirpa, and A. Vairo, Nature of and , Phys. Rev. Lett. 135, 13 (2025).
- Y. S. Kalashnikova and A. V. Nefediev, Nature of from data, Phys. Rev. D 80, 074004 (2009).
- V. Baru, C. Hanhart, Y. S. Kalashnikova, A. E. Kudryavtsev, and A. V. Nefediev, Interplay of quark and meson degrees of freedom in a near-threshold resonance, Eur. Phys. J. A 44, 93 (2010).
- H. Chen, H. R. Qi, and H. Q. Zheng, as a molecule, Eur. Phys. J. C 81, 812 (2021).
- C. Chen, H. Chen, W. Q. Niu, and H. Q. Zheng, Identifying hadronic molecular states with a neural network, Eur. Phys. J. C 83, 52 (2023).
- F. L. Wang and X. Liu, Surveying the mass spectra and the electromagnetic properties of the molecular pentaquarks, Phys. Rev. D 109, 014043 (2024).