- Open Access
-meson decays to vector charmoniumlike states and a meson: The role of final-state interactions
Phys. Rev. D 111, 114035 – Published 27 June, 2025
DOI: https://doi.org/10.1103/xrjr-zxpz
Abstract
A series of vector charmonium(like) states, accompanied by a meson, have been observed in the decays of meson. These processes are color-suppressed at the quark level, as inferred from topological diagram analysis. In this work, we calculate the branching fractions of the decays , where denotes the charmonium(like) states , , , , and . Our analysis incorporates both short-distance (naive factorization approach) and long-distance (final-state interactions) contributions. Within reasonable parameters, our results align with experimental data except for the , suggesting its possible exotic nature. Furthermore, we find that long-distance contributions dominate these decay processes, highlighting the crucial role of final-state interactions in the productions of charmonium(like) states in decays.
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References (98)
- A. A. Alves, Jr. et al. (LHCb Collaboration), J. Instrum. 3, S08005 (2008).
- W. Altmannshofer et al. (Belle-II Collaboration), Prog. Theor. Exp. Phys. 2019, 123C01 (2019); 2020, 029201(E) (2020).
- N. Brambilla et al., Eur. Phys. J. C 71, 1534 (2011).
- H.-X. Chen, W. Chen, X. Liu, and S.-L. Zhu, Phys. Rep. 639, 1 (2016).
- R. F. Lebed, R. E. Mitchell, and E. S. Swanson, Prog. Part. Nucl. Phys. 93, 143 (2017).
- E. Oset et al., Int. J. Mod. Phys. E 25, 1630001 (2016).
- A. Esposito, A. Pilloni, and A. D. Polosa, Phys. Rep. 668, 1 (2017).
- Y. Dong, A. Faessler, and V. E. Lyubovitskij, Prog. Part. Nucl. Phys. 94, 282 (2017).
- F.-K. Guo, C. Hanhart, U.-G. Meißner, Q. Wang, Q. Zhao, and B.-S. Zou, Rev. Mod. Phys. 90, 015004 (2018); 94, 029901(E) (2022).
- S. L. Olsen, T. Skwarnicki, and D. Zieminska, Rev. Mod. Phys. 90, 015003 (2018).
- A. Ali, J. S. Lange, and S. Stone, Prog. Part. Nucl. Phys. 97, 123 (2017).
- M. Karliner, J. L. Rosner, and T. Skwarnicki, Annu. Rev. Nucl. Part. Sci. 68, 17 (2018).
- F.-K. Guo, X.-H. Liu, and S. Sakai, Prog. Part. Nucl. Phys. 112, 103757 (2020).
- N. Brambilla, S. Eidelman, C. Hanhart, A. Nefediev, C.-P. Shen, C. E. Thomas, A. Vairo, and C.-Z. Yuan, Phys. Rep. 873, 1 (2020).
- L. Meng, B. Wang, G.-J. Wang, and S.-L. Zhu, Phys. Rep. 1019, 1 (2023).
- M.-Z. Liu, Y.-W. Pan, Z.-W. Liu, T.-W. Wu, J.-X. Lu, and L.-S. Geng, Phys. Rep. 1108, 1 (2025).
- Z.-G. Wang, arXiv:2502.11351.
- T. Barnes and E. S. Swanson, Phys. Rev. C 77, 055206 (2008).
- P. G. Ortega, D. R. Entem, and F. Fernandez, J. Phys. G 40, 065107 (2013).
- S. Kanwal, F. Akram, B. Masud, and E. S. Swanson, Eur. Phys. J. A 58, 219 (2022).
- Q. Deng, R.-H. Ni, Q. Li, and X.-H. Zhong, Phys. Rev. D 110, 056034 (2024).
- Z.-L. Man, C.-R. Shu, Y.-R. Liu, and H. Chen, Eur. Phys. J. C 84, 810 (2024).
- Z.-H. Pan, C.-X. Liu, Z.-L. Man, and X. Liu, arXiv:2411.15689.
- Y. Yamaguchi, A. Hosaka, S. Takeuchi, and M. Takizawa, J. Phys. G 47, 053001 (2020).
- T. Ji, X.-K. Dong, M. Albaladejo, M.-L. Du, F.-K. Guo, J. Nieves, and B.-S. Zou, Sci. Bull. 68, 688 (2023).
- J. Song, L. R. Dai, and E. Oset, Phys. Rev. D 108, 114017 (2023).
- T. Kinugawa and T. Hyodo, Phys. Rev. C 109, 045205 (2024).
- P.-P. Shi, M. Albaladejo, M.-L. Du, F.-K. Guo, and J. Nieves, Phys. Rev. D 111, 074043 (2025).
- C. Meng and K.-T. Chao, Phys. Rev. D 75, 114002 (2007).
- Y.-J. Zhang, G. Li, and Q. Zhao, Phys. Rev. Lett. 102, 172001 (2009).
- F.-K. Guo, C. Hanhart, G. Li, U.-G. Meissner, and Q. Zhao, Phys. Rev. D 83, 034013 (2011).
- G. Li, X.-h. Liu, Q. Wang, and Q. Zhao, Phys. Rev. D 88, 014010 (2013).
- S. K. Choi et al. (Belle Collaboration), Phys. Rev. Lett. 91, 262001 (2003).
- J. Song, L. R. Dai, and E. Oset, Eur. Phys. J. A 58, 133 (2022).
- T. Kinugawa and T. Hyodo, Phys. Rev. C 106, 015205 (2022).
- Z.-Z. Song, C. Meng, Y.-J. Gao, and K.-T. Chao, Phys. Rev. D 69, 054009 (2004).
- C. Meng, Y.-J. Gao, and K.-T. Chao, Phys. Rev. D 87, 074035 (2013).
- Q. Wu, M.-Z. Liu, and L.-S. Geng, Eur. Phys. J. C 84, 147 (2024).
- R. Aaij et al. (LHCb Collaboration), Phys. Rev. D 102, 092005 (2020).
- M. Ablikim et al. (BESIII Collaboration), Phys. Rev. Lett. 132, 151903 (2024).
- J.-M. Xie, M.-Z. Liu, and L.-S. Geng, Phys. Rev. D 107, 016003 (2023).
- M.-Z. Liu and Q. Wu, Eur. Phys. J. C 85, 188 (2025).
- Z. Yu, Q. Wu, and D.-Y. Chen, Phys. Rev. D 111, 014033 (2025).
- F.-S. Yu, H.-Y. Jiang, R.-H. Li, C.-D. Lü, W. Wang, and Z.-X. Zhao, Chin. Phys. C42, 051001 (2018).
- Y.-K. Hsiao, Y. Yu, and B.-C. Ke, Eur. Phys. J. C 80, 895 (2020).
- Z.-D. Duan, J.-P. Wang, R.-H. Li, C.-D. Lv, and F.-S. Yu, arXiv:2412.20458.
- S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024).
- S. Godfrey and N. Isgur, Phys. Rev. D 32, 189 (1985).
- T. Barnes, S. Godfrey, and E. S. Swanson, Phys. Rev. D 72, 054026 (2005).
- B.-Q. Li and K.-T. Chao, Phys. Rev. D 79, 094004 (2009).
- Z.-Y. Zhou, C.-Y. Li, and Z. Xiao, arXiv:2304.07052.
- N. Hüsken, R. F. Lebed, R. E. Mitchell, E. S. Swanson, Y.-Q. Wang, and C.-Z. Yuan, Phys. Rev. D 109, 114010 (2024).
- T.-C. Peng, Z.-Y. Bai, J.-Z. Wang, and X. Liu, Phys. Rev. D 111, 054023 (2025).
- H.-X. Chen, Phys. Rev. D 105, 094003 (2022).
- S. Mantry, D. Pirjol, and I. W. Stewart, Phys. Rev. D 68, 114009 (2003).
- A. K. Leibovich, Z. Ligeti, I. W. Stewart, and M. B. Wise, Phys. Lett. B 586, 337 (2004).
- P. Colangelo, F. De Fazio, and T. N. Pham, Phys. Lett. B 542, 71 (2002).
- H.-Y. Cheng, C.-K. Chua, and A. Soni, Phys. Rev. D 71, 014030 (2005).
- C.-H. Chen and H.-N. Li, Phys. Rev. D 71, 114008 (2005).
- S. Roy, R. Sinha, and N. G. Deshpande, Phys. Rev. D 101, 036018 (2020).
- X.-G. He and G.-N. Li, Phys. Lett. B 750, 82 (2015).
- S.-H. Zhou, Q.-A. Zhang, W.-R. Lyu, and C.-D. Lü, Eur. Phys. J. C 77, 125 (2017).
- P. Colangelo, F. De Fazio, and T. N. Pham, Phys. Rev. D 69, 054023 (2004).
- Z.-G. Wang, Eur. Phys. J. C 58, 245 (2008).
- H. Xu, X. Liu, and T. Matsuki, Phys. Rev. D 94, 034005 (2016).
- C.-D. Lu, Y.-M. Wang, H. Zou, A. Ali, and G. Kramer, Phys. Rev. D 80, 034011 (2009).
- H.-Y. Cheng, C.-K. Chua, and C.-W. Hwang, Phys. Rev. D 69, 074025 (2004).
- R. C. Verma, J. Phys. G 39, 025005 (2012).
- P.-P. Shi, V. Baru, F.-K. Guo, C. Hanhart, and A. Nefediev, Chin. Phys. Lett. 41, 031301 (2024).
- A. Ali, G. Kramer, and C.-D. Lu, Phys. Rev. D 58, 094009 (1998).
- Q. Qin, H.-n. Li, C.-D. Lü, and F.-S. Yu, Phys. Rev. D 89, 054006 (2014).
- R. L. Workman et al. (Particle Data Group), Prog. Theor. Exp. Phys. 2022, 083C01 (2022).
- S. Aoki et al. (Flavour Lattice Averaging Group), Eur. Phys. J. C 80, 113 (2020).
- Y. Li, P. Maris, and J. P. Vary, Phys. Rev. D 96, 016022 (2017).
- H.-n. Li, C.-D. Lu, and F.-S. Yu, Phys. Rev. D 86, 036012 (2012).
- C. Bourrely, I. Caprini, and L. Lellouch, Phys. Rev. D 79, 013008 (2009); 82, 099902(E) (2010).
- C. G. Boyd, B. Grinstein, and R. F. Lebed, Phys. Rev. D 56, 6895 (1997).
- B.-Y. Cui, Y.-K. Huang, Y.-L. Shen, C. Wang, and Y.-M. Wang, J. High Energy Phys. 03 (2023) 140.
- B.-Y. Cui, Y.-K. Huang, Y.-M. Wang, and X.-C. Zhao, Phys. Rev. D 108, L071504 (2023).
- Y.-s. Oh, T. Song, and S. H. Lee, Phys. Rev. C 63, 034901 (2001).
- M. E. Bracco, M. Chiapparini, F. S. Navarra, and M. Nielsen, Prog. Part. Nucl. Phys. 67, 1019 (2012).
- Z.-w. Lin and C. M. Ko, Phys. Rev. C 62, 034903 (2000).
- R.-Q. Qian and X. Liu, Phys. Rev. D 108, 094046 (2023).
- T. Mehen and D.-L. Yang, Phys. Rev. D 85, 014002 (2012).
- F.-K. Guo, C. Hanhart, and U.-G. Meissner, Phys. Rev. Lett. 103, 082003 (2009); 104, 109901(E) (2010).
- G. Li and Q. Zhao, Phys. Rev. D 84, 074005 (2011).
- Y.-J. Zhang and Q. Zhao, Phys. Rev. D 81, 034011 (2010).
- N. N. Achasov and G. N. Shestakov, Phys. Rev. D 103, 076017 (2021).
- M. Bayar, N. Ikeno, and E. Oset, Eur. Phys. J. C 80, 222 (2020).
- C.-P. Jia, H.-Y. Jiang, J.-P. Wang, and F.-S. Yu, J. High Energy Phys. 11 (2024) 072.
- R. Machleidt, K. Holinde, and C. Elster, Phys. Rep. 149, 1 (1987).
- N. A. Tornqvist, Z. Phys. C 61, 525 (1994).
- M.-Z. Liu, T.-W. Wu, M. Pavon Valderrama, J.-J. Xie, and L.-S. Geng, Phys. Rev. D 99, 094018 (2019).
- J. He and D.-Y. Chen, Eur. Phys. J. C 79, 887 (2019).
- Q. Wu, D.-Y. Chen, and T. Matsuki, Eur. Phys. J. C 81, 193 (2021).
- Q. Wu and D.-Y. Chen, Phys. Rev. D 100, 114002 (2019).
- J.-P. Wang and F.-S. Yu, Chin. Phys. C 48, 101002 (2024).
- C.-Q. Geng, X.-N. Jin, and C.-W. Liu, arXiv:2502.12770.