- Open Access
Heavy mesons to open-charmed tetraquark decays
Phys. Rev. D 112, 076008 – Published 8 October, 2025
DOI: https://doi.org/10.1103/tt7k-yrbm
Abstract
Motivated by the recent observations of , , and open-charmed tetraquark states by LHCb, we study the decays of heavy mesons to these open-charmed tetraquark states () using a topological amplitude approach. We first obtain the and strong decay amplitudes by decomposing them into several topological amplitudes, where is a light pseudoscalar particle and is a low-lying scalar particle. Subsequently, weak decay amplitudes of , , , and decays are decomposed topologically. In addition, decays are also discussed. Using these results, modes with an unambiguous exotic interpretation in flavor are highlighted.
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References (51)
- R. Aaij et al. (LHCb Collaboration), Amplitude analysis of the decay, Phys. Rev. D 102, 112003 (2020).
- R. Aaij et al. (LHCb Collaboration), First observation of a doubly charged tetraquark and its neutral partner, Phys. Rev. Lett. 131, 041902 (2023).
- R. Aaij et al. (LHCb Collaboration), Amplitude analysis of and decays, Phys. Rev. D 108, 012017 (2023).
- S. Navas et al. (Particle Data Group), Review of particle physics, Phys. Rev. D 110, 030001 (2024).
- R. Aaij et al. (LHCb Collaboration), Observation of the open-charm tetraquark state in the decay, Phys. Rev. Lett. 134, 101901 (2025).
- M. Karliner and J. L. Rosner, First exotic hadron with open heavy flavor: tetraquark, Phys. Rev. D 102, 094016 (2020).
- X. G. He, W. Wang, and R. Zhu, Open-charm tetraquark and open-bottom tetraquark , Eur. Phys. J. C 80, 1026 (2020).
- Z. G. Wang, Analysis of the as the scalar tetraquark state via the QCD sum rules, Int. J. Mod. Phys. A 35, 2050187 (2020).
- 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).
- Y. Huang, J. X. Lu, J. J. Xie, and L. S. Geng, Strong decays of molecules and the newly observed states, Eur. Phys. J. C 80, 973 (2020).
- M. Z. Liu, J. J. Xie, and L. S. Geng, as a molecular state, Phys. Rev. D 102, 091502 (2020).
- B. Wang and S. L. Zhu, How to understand the X(2900)?, Eur. Phys. J. C 82, 419 (2022).
- Z. L. Yue, C. J. Xiao, and D. Y. Chen, Decays of the fully open flavor state in a molecule scenario, Phys. Rev. D 107, 034018 (2023).
- T. J. Burns and E. S. Swanson, Kinematical cusp and resonance interpretations of the , Phys. Lett. B 813, 136057 (2021).
- X. H. Liu, M. J. Yan, H. W. Ke, G. Li, and J. J. Xie, Triangle singularity as the origin of and observed in , Eur. Phys. J. C 80, 1178 (2020).
- T. Gutsche, C. Hanhart, and R. E. Mitchell, Heavy non- Mesons”, in [4].
- D. Zeppenfeld, SU(3) Relations for meson decays, Z. Phys. C 8, 77 (1981).
- L. L. Chau and H. Y. Cheng, Analysis of exclusive two-body decays of charm mesons using the quark diagram scheme, Phys. Rev. D 36, 137 (1987).
- M. J. Savage and M. B. Wise, SU(3) predictions for nonleptonic meson decays, Phys. Rev. D 39, 3346 (1989); 40, 3127(E) (1989).
- L. L. Chau, H. Y. Cheng, W. K. Sze, H. Yao, and B. Tseng, Charmless nonleptonic rare decays of mesons, Phys. Rev. D 43, 2176 (1991); 58, 019902(E) (1998).
- M. Gronau, O. F. Hernandez, D. London, and J. L. Rosner, Decays of mesons to two light pseudoscalars, Phys. Rev. D 50, 4529 (1994).
- M. Gronau, O. F. Hernandez, D. London, and J. L. Rosner, Electroweak penguins and two-body decays, Phys. Rev. D 52, 6374 (1995).
- J. L. Rosner, Final state phases in open-charmed meson two-body nonleptonic decays, Phys. Rev. D 60, 114026 (1999).
- H. Y. Cheng, Hadronic D decays involving scalar mesons, Phys. Rev. D 67, 034024 (2003).
- C. W. Chiang, M. Gronau, J. L. Rosner, and D. A. Suprun, Charmless decays using flavor SU(3) symmetry, Phys. Rev. D 70, 034020 (2004).
- H. Y. Cheng, C. W. Chiang, and A. L. Kuo, Updating decays in the framework of flavor symmetry, Phys. Rev. D 91, 014011 (2015).
- H. n. Li, C. D. Lu, and F. S. Yu, Branching ratios and direct asymmetries in decays, Phys. Rev. D 86, 036012 (2012).
- Q. Qin, H. n. Li, C. D. Lü, and F. S. Yu, Branching ratios and direct asymmetries in decays, Phys. Rev. D 89, 054006 (2014).
- C. K. Chua, Charmless two body baryonic decays, Phys. Rev. D 68, 074001 (2003).
- C. K. Chua, Charmless two-body baryonic decays revisited, Phys. Rev. D 89, 056003 (2014).
- H. Y. Cheng and C. K. Chua, Bottom baryon decays to pseudoscalar meson and pentaquark, Phys. Rev. D 92, 096009 (2015).
- C. K. Chua, Rates and asymmetries of charmless two-body baryonic decays, Phys. Rev. D 95, 096004 (2017).
- C. K. Chua, Two-body baryonic and to charmless final state decays, Phys. Rev. D 106, 036015 (2022).
- C. K. Chua, Charmless semileptonic baryonic decays, Phys. Rev. D 108, 056001 (2023).
- R. Aaij et al. (LHCb Collaboration), Evidence for exotic hadron contributions to decays, Phys. Rev. Lett. 117, 082003 (2016).
- Q. Qin, J. L. Qiu, and F. S. Yu, Diagrammatic analysis of hidden- and open-charm tetraquark production in B decays, Eur. Phys. J. C 83, 227 (2023).
- T. Feldmann, P. Kroll, and B. Stech, Mixing and decay constants of pseudoscalar mesons: The sequel, Phys. Lett. B 449, 339 (1999).
- S. Okubo, Phi meson and unitary symmetry model, Phys. Lett. 5, 165 (1963).
- G. Zweig, An SU(3) model for strong interaction symmetry and its breaking. Version 1, 10.17181/CERN-TH-401.
- J. Iizuka, Systematics and phenomenology of meson family, Prog. Theor. Phys. Suppl. 37, 21 (1966).
- R. L. Jaffe, Multi-quark hadrons. 1. The phenomenology of (2 Quark 2 anti-Quark) mesons, Phys. Rev. D 15, 267 (1977).
- R. L. Jaffe, Multi-quark hadrons. 2. Methods, Phys. Rev. D 15, 281 (1977).
- C. K. Chua, W. S. Hou, and K. C. Yang, Final state rescattering and color suppressed decays, Phys. Rev. D 65, 096007 (2002).
- C. K. Chua and W. S. Hou, Implications of decays on decays, Phys. Rev. D 72, 036002 (2005).
- C. K. Chua and W. S. Hou, Rescattering effects in decays, Phys. Rev. D 77, 116001 (2008).
- L. Maiani, F. Piccinini, A. D. Polosa, and V. Riquer, A new look at scalar mesons, Phys. Rev. Lett. 93, 212002 (2004).
- M. Beneke, G. Buchalla, M. Neubert, and C. T. Sachrajda, QCD factorization in decays and extraction of Wolfenstein parameters, Nucl. Phys. B606, 245 (2001).
- R. Fleischer, Exploring violation and penguin effects through and , Eur. Phys. J. C 51, 849 (2007).
- T. D. Lee, Particle Physics and Introduction to Field Theory (Harwood Academic, Chur, Switzerland, 1981).
- H. Georgi, Lie Algebras in Particle Physics: From Isospin to Unified Theories (Taylor & Francis, London, 2000).
- S. Coleman, Fun with SU(3), in Seminar on High-Energy Physics and Elementary Particles, Proceedings Series (International Atomic Energy Agency, IAEA, Vienna, 1965), pp. 331–352.