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Exploring tetraquark candidates in a coupled-channels formalism
Phys. Rev. D 113, 114025 – Published 15 June, 2026
DOI: https://doi.org/10.1103/b3qx-krpt
Abstract
We investigate the spectrum of tetraquark candidates within a coupled-channel framework. The analysis includes all combinations of , , , and in the sectors. The meson-meson interaction is derived from an underlying constituent quark model through the resonating group method, and the properties of the states are obtained from poles of the scattering matrix. We find a rich spectrum of resonant, and virtual, states distributed between the and thresholds. The pattern of poles exhibits approximate heavy-quark spin symmetry multiplets. Several states are dominated by a single channel and can be associated with threshold-driven structures, while higher-mass resonances show sizable mixing among channels involving radially excited bottomonia. The predicted widths range from tens to several hundred MeV. Branching ratios indicate that many states couple predominantly to final states with at least one excited bottomonium, whereas only a subset of the spectrum is expected to be visible in the , and channels. These results provide quantitative guidance for experimental searches of fully heavy tetraquarks and offer a test of coupled-channel dynamics and heavy-quark spin symmetry in the sector.
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References (95)
- S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024).
- M. Gell-Mann, Phys. Lett. 8, 214 (1964).
- G. Zweig, Reports No. 8182/TH.401, No. 8419/TH.412, CERN, 1964.
- X.-K. Dong, F.-K. Guo, and B.-S. Zou, Phys. Rev. Lett. 126, 152001 (2021).
- H.-X. Chen, W. Chen, X. Liu, and S.-L. Zhu, Phys. Rep. 639, 1 (2016).
- H.-X. Chen, W. Chen, X. Liu, Y.-R. Liu, and S.-L. Zhu, Rep. Prog. Phys. 80, 076201 (2017).
- F.-K. Guo, C. Hanhart, U.-G. Meißner, Q. Wang, Q. Zhao, and B.-S. Zou, Rev. Mod. Phys. 90, 015004 (2018).
- Y.-R. Liu, H.-X. Chen, W. Chen, X. Liu, and S.-L. Zhu, Prog. Part. Nucl. Phys. 107, 237 (2019).
- G. Yang, J. Ping, and J. Segovia, Symmetry 12, 1869 (2020).
- X.-K. Dong, F.-K. Guo, and B.-S. Zou, Commun. Theor. Phys. 73, 125201 (2021).
- H.-X. Chen, Phys. Rev. D 105, 094003 (2022).
- X. Cao, Front. Phys. (Beijing) 18, 44600 (2023).
- M. Mai, U.-G. Meißner, and C. Urbach, Phys. Rep. 1001, 1 (2023).
- L. Meng, B. Wang, G.-J. Wang, and S.-L. Zhu, Phys. Rep. 1019, 1 (2023).
- H.-X. Chen, W. Chen, X. Liu, Y.-R. Liu, and S.-L. Zhu, Rep. Prog. Phys. 86, 026201 (2023).
- F.-K. Guo, H. Peng, J.-J. Xie, and X. Zhou, arXiv:2203.07141.
- P. G. Ortega and D. R. Entem, Symmetry 13, 279 (2021).
- H. Huang, C. Deng, X. Liu, Y. Tan, and J. Ping, Symmetry 15, 1298 (2023).
- R. F. Lebed, Proc. Sci. FPCP2023 (2023) 028 [arXiv:2308.00781].
- B.-S. Zou, Sci. Bull. 66, 1258 (2021).
- 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.
- M.-Z. Liu, Y.-W. Pan, Z.-W. Liu, T.-W. Wu, J.-X. Lu, and L.-S. Geng, Phys. Rep. 1108, 1 (2025).
- D. Johnson, I. Polyakov, T. Skwarnicki, and M. Wang, Annu. Rev. Nucl. Part. Sci. 74, 583 (2024).
- D. R. Entem, F. Fernández, P. G. Ortega, and J. Segovia, arXiv:2504.07897.
- C. Hanhart, arXiv:2504.06043.
- X. Wang, X. Liu, and Y. Gao, Rev. Mod. Phys. 98, 021001 (2026).
- Z.-G. Wang, Front. Phys. (Beijing) 21, 016300 (2026).
- A. Francis, Prog. Part. Nucl. Phys. 140, 104143 (2025).
- J.-H. Chen, J. Chen, F.-K. Guo, Y.-G. Ma, C.-P. Shen, Q.-Y. Shou, Q. Shou, Q. Wang, J.-J. Wu, and B.-S. Zou, Nucl. Sci. Tech. 36, 55 (2025).
- N. Hüsken, E. S. Norella, and I. Polyakov, Mod. Phys. Lett. A 40, 2530002 (2025).
- LHCb Collaboration, Sci. Bull. 65, 1983 (2020).
- A. Hayrapetyan et al. (CMS Collaboration), Phys. Rev. Lett. 132, 111901 (2024).
- , Observation of an excess of di-charmonium events in the four-muon final state with the ATLAS detector, Report No. ATLAS-CONF-2022-040, 2022.
- LHCb Collaboration, Int. J. Mod. Phys. A 30, 1530022 (2015).
- S. Chatrchyan et al. (CMS Collaboration), J. Instrum. 3, S08004 (2008).
- G. Aad et al. (ATLAS Collaboration), J. Instrum. 3, S08003 (2008).
- R. Aaij et al. (LHCb Collaboration), arXiv:1808.08865.
- A. V. Berezhnoy, A. V. Luchinsky, and A. A. Novoselov, Phys. Rev. D 86, 034004 (2012).
- M. Karliner and J. L. Rosner, Phys. Rev. Lett. 119, 202001 (2017).
- J. Wu, Y.-R. Liu, K. Chen, X. Liu, and S.-L. Zhu, Phys. Rev. D 97, 094015 (2018).
- M. N. Anwar, J. Ferretti, F.-K. Guo, E. Santopinto, and B.-S. Zou, Eur. Phys. J. C 78, 647 (2018).
- V. R. Debastiani and F. S. Navarra, Chin. Phys. C 43, 013105 (2019).
- E. Eichten and C. Quigg, Phys. Rev. Lett. 119, 202002 (2017).
- C. Deng, H. Chen, and J. Ping, Phys. Rev. D 103, 014001 (2021).
- G. Yang, J. Ping, and J. Segovia, Phys. Rev. D 104, 014006 (2021).
- Z. Asadi and G. R. Boroun, Phys. Rev. D 105, 014006 (2022).
- W.-L. Wu, Y.-K. Chen, Y. Ma, L. Meng, and S.-L. Zhu, J. Subatomic Part. Cosmol. 4, 100184 (2025).
- W. Chen, H. Liu, S. Shi, and S.-H. Zhu, Phys. Rev. D 96, 114017 (2017).
- Z.-G. Wang, Eur. Phys. J. C 77, 432 (2017).
- Z.-G. Wang and Z.-Y. Di, Acta Phys. Pol. B 50, 1335 (2019).
- Z.-G. Wang, Eur. Phys. J. C 79, 393 (2019).
- J.-R. Zhang, Phys. Rev. D 103, 014018 (2021).
- T. Mehen, Phys. Rev. D 91, 034019 (2015).
- F.-K. Guo, C. Hidalgo-Duque, J. Nieves, and M. P. Valderrama, Phys. Rev. D 98, 094018 (2018).
- C. Hughes, E. Eichten, and C. T. H. Davies, Phys. Rev. D 97, 054505 (2018).
- P. Junnarkar and N. Mathur, Phys. Rev. D 101, 034507 (2020).
- N. Barnea, J. Vijande, and A. Valcarce, Phys. Rev. D 73, 054004 (2006).
- R. J. Lloyd and J. P. Vary, Phys. Rev. D 87, 014009 (2013).
- Y. Bai, S. Lu, and J. Osborne, Phys. Lett. B 798, 134930 (2019).
- J.-M. Richard, A. Valcarce, and J. Vijande, Phys. Rev. D 95, 054019 (2017).
- M. A. Bedolla, J. Ferretti, C. D. Roberts, and E. Santopinto, Eur. Phys. J. C 80, 1004 (2020).
- M.-S. Liu, Q.-F. Lü, X.-H. Zhong, and Q. Zhao, Phys. Rev. D 100, 016006 (2019).
- M. C. Gordillo, F. De Soto, and J. Segovia, Phys. Rev. D 102, 114007 (2020).
- A. Esposito and A. D. Polosa, Eur. Phys. J. C 78, 782 (2018).
- M.-S. liu, F.-X. Liu, X.-H. Zhong, and Q. Zhao, Phys. Rev. D 109, 076017 (2024).
- I. Belov, A. Giachino, and E. Santopinto, J. High Energy Phys. 01 (2025) 093.
- P. G. Ortega, D. R. Entem, and F. Fernández, Phys. Rev. D 108, 094023 (2023).
- J. Vijande, F. Fernandez, and A. Valcarce, J. Phys. G 31, 481 (2005).
- F. Fernandez, A. Valcarce, U. Straub, and A. Faessler, J. Phys. G 19, 2013 (1993).
- A. Valcarce, F. Fernandez, A. Buchmann, and A. Faessler, Phys. Rev. C 50, 2246 (1994).
- A. Valcarce, F. Fernandez, P. Gonzalez, and V. Vento, Phys. Lett. B 367, 35 (1996).
- J. Vijande, A. Valcarce, and K. Tsushima, Phys. Rev. D 74, 054018 (2006).
- J. Segovia, D. R. Entem, and F. Fernandez, Phys. Lett. B 662, 33 (2008).
- J. Segovia, A. M. Yasser, D. R. Entem, and F. Fernandez, Phys. Rev. D 78, 114033 (2008).
- J. Segovia, A. M. Yasser, D. R. Entem, and F. Fernandez, Phys. Rev. D 80, 054017 (2009).
- P. G. Ortega, J. Segovia, D. R. Entem, and F. Fernandez, Phys. Rev. D 81, 054023 (2010).
- J. Segovia, D. R. Entem, and F. Fernandez, Phys. Rev. D 83, 114018 (2011).
- J. Segovia, D. R. Entem, and F. Fernandez, Phys. Rev. D 91, 094020 (2015).
- G. Yang and J. Ping, Phys. Rev. D 95, 014010 (2017).
- P. G. Ortega, J. Segovia, D. R. Entem, and F. Fernández, Phys. Rev. D 94, 114018 (2016).
- P. G. Ortega, J. Segovia, D. R. Entem, and F. Fernandez, Phys. Rev. D 94, 074037 (2016).
- P. G. Ortega, J. Segovia, D. R. Entem, and F. Fernández, Phys. Rev. D 95, 034010 (2017).
- G. Yang, J. Ping, and J. Segovia, Few-Body Syst. 59, 113 (2018).
- G. Yang and J. Ping, Phys. Rev. D 97, 034023 (2018).
- P. G. Ortega, J. Segovia, D. R. Entem, and F. Fernández, Eur. Phys. J. C 79, 78 (2019).
- P. G. Ortega, J. Segovia, D. R. Entem, and F. Fernandez, Eur. Phys. J. C 80, 223 (2020).
- G. S. Bali, Phys. Rep. 343, 1 (2001).
- G. S. Bali, H. Neff, T. Duessel, T. Lippert, and K. Schilling (SESAM Collaboration), Phys. Rev. D 71, 114513 (2005).
- A. Faessler, G. Lubeck, and K. Shimizu, Phys. Rev. D 26, 3280 (1982).
- D. R. Entem and F. Fernandez, Phys. Rev. C 73, 045214 (2006).
- J. Segovia, P. G. Ortega, D. R. Entem, and F. Fernández, Phys. Rev. D 93, 074027 (2016).
- E. Hiyama, Y. Kino, and M. Kamimura, Prog. Part. Nucl. Phys. 51, 223 (2003).
- J. A. Wheeler, Phys. Rev. 52, 1083 (1937).
- P. G. Ortega, D. R. Entem, and F. Fernandez, J. Phys. G 40, 065107 (2013).
- P. A. Grassi, B. A. Kniehl, and A. Sirlin, Phys. Rev. Lett. 86, 389 (2001).