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- Access by Xinjiang University
light meson family
Phys. Rev. D 113, 076008 – Published 6 April, 2026
DOI: https://doi.org/10.1103/zmyc-9h8f
Abstract
The spectroscopy of the light-meson candidates, in particular the and families, remains an open issue. We compute the mass spectra in the modified Godfrey-Isgur model and evaluate the Okubo-Zweig-Iizuka-allowed two-body strong decays within the quark-pair-creation model. Our analysis favors the interpretation that and correspond to the same resonance, identified as the ground state, while is the ground state of the family; furthermore, and are assigned as their first radial excited states. For other higher-excitation states, we provide predictions for the decay behaviors and include the mass-induced model uncertainty.
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References (75)
- S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024).
- S. U. Chung et al., Phys. Rev. D 65, 072001 (2002).
- A. V. Anisovich, C. A. Baker, C. J. Batty, D. V. Bugg, V. A. Nikonov, A. V. Sarantsev, V. V. Sarantsev, and B. S. Zou, Phys. Lett. B 517, 261 (2001).
- A. V. Anisovich, C. A. Baker, C. J. Batty, D. V. Bugg, V. A. Nikonov, A. V. Sarantsev, V. V. Sarantsev, and B. S. Zou, Phys. Lett. B 517, 273 (2001).
- A. V. Anisovich, C. A. Baker, C. J. Batty, D. V. Bugg, C. Hodd, H. C. Lu, V. A. Nikonov, A. V. Sarantsev, V. V. Sarantsev, and B. S. Zou, Phys. Lett. B 491, 47 (2000).
- D. V. Bugg, Eur. Phys. J. C 36, 161 (2004).
- P. Masjuan, E. Ruiz Arriola, and W. Broniowski, Phys. Rev. D 85, 094006 (2012).
- C.-Q. Pang, B. Wang, X. Liu, and T. Matsuki, Phys. Rev. D 92, 014012 (2015).
- D. Ebert, R. N. Faustov, and V. O. Galkin, Phys. Rev. D 79, 114029 (2009).
- S. S. Afonin, Phys. Rev. C 76, 015202 (2007).
- J. J. Dudek, R. G. Edwards, B. Joó, M. J. Peardon, D. G. Richards, and C. E. Thomas, Phys. Rev. D 83, 111502 (2011).
- S. Godfrey and N. Isgur, Phys. Rev. D 32, 189 (1985).
- S. Godfrey, K. Moats, and E. S. Swanson, Phys. Rev. D 94, 054025 (2016).
- E. Laermann, F. Langhammer, I. Schmitt, and P. M. Zerwas, Phys. Lett. B 173, 437 (1986).
- K. D. Born, E. Laermann, N. Pirch, T. F. Walsh, and P. M. Zerwas, Phys. Rev. D 40, 1653 (1989).
- F. Knechtli and R. Sommer (ALPHA Collaboration), Nucl. Phys. B590, 309 (2000).
- K.-T. Chao, Y.-B. Ding, and D.-H. Qin, Commun. Theor. Phys. 18, 321 (1992).
- Y.-B. Ding, K.-T. Chao, and D.-H. Qin, Chin. Phys. Lett. 10, 460 (1993).
- Q.-T. Song, D.-Y. Chen, X. Liu, and T. Matsuki, Phys. Rev. D 91, 054031 (2015).
- J.-Z. Wang, Z.-F. Sun, X. Liu, and T. Matsuki, Eur. Phys. J. C 78, 915 (2018).
- J.-Z. Wang, D.-Y. Chen, X. Liu, and T. Matsuki, Phys. Rev. D 99, 114003 (2019).
- X.-Z. Weng, W.-Z. Deng, and S.-L. Zhu, Phys. Rev. D 110, 056052 (2024).
- C.-Q. Pang, Phys. Rev. D 99, 074015 (2019).
- C.-Q. Pang, Y.-R. Wang, H. Chen, and X.-H. Liu, arXiv:2508.21442.
- L. Micu, Nucl. Phys. B10, 521 (1969).
- E. S. Ackleh, T. Barnes, and E. S. Swanson, Phys. Rev. D 54, 6811 (1996).
- O. Philipsen and H. Wittig, Nucl. Phys. B, Proc. Suppl. 73, 706 (1999).
- C.-Q. Pang, Y.-R. Wang, and C.-H. Wang, Phys. Rev. D 99, 014022 (2019).
- Y.-R. Wang, T.-Y. Li, Z.-Y. Fang, H. Chen, and C.-Q. Pang, Phys. Rev. D 106, 114024 (2022).
- L.-M. Wang, S.-Q. Luo, and X. Liu, Phys. Rev. D 105, 034011 (2022).
- X.-C. Feng, Z.-Y. Li, D.-M. Li, Q.-T. Song, E. Wang, and W.-C. Yan, Phys. Rev. D 106, 076012 (2022).
- L.-M. Wang, W.-X. Tian, T.-Y. Li, C.-X. Liu, and X. Liu, Phys. Rev. D 110, 114049 (2024).
- Y.-R. Wang, X.-H. Liu, C.-Q. Pang, and H. Chen, Phys. Rev. D 111, 054005 (2025).
- C.-Q. Pang, H. Chen, and Y.-H. Zhang, Phys. Rev. D 112, 036017 (2025).
- A. Le Yaouanc, L. Oliver, O. Pène, and J. C. Raynal, Phys. Rev. D 8, 2223 (1973).
- A. Le Yaouanc, L. Oliver, O. Pène, and J. C. Raynal, Phys. Rev. D 9, 1415 (1974).
- A. Le Yaouanc, L. Oliver, O. Pène, and J. C. Raynal, Phys. Rev. D 11, 1272 (1975).
- A. Le Yaouanc, L. Oliver, O. Pène, and J. C. Raynal, Phys. Lett. 72B, 57 (1977).
- A. Le Yaouanc, L. Oliver, O. Pène, and J. C. Raynal, Phys. Lett. 71B, 397 (1977).
- E. van Beveren, G. Rupp, T. A. Rijken, and C. Dullemond, Phys. Rev. D 27, 1527 (1983).
- A. I. Titov, T. I. Gulamov, and B. Kämpfer, Phys. Rev. D 53, 3770 (1996).
- H. G. Blundell, arXiv:hep-ph/9608473.
- R. Bonnaz, B. Silvestre-Brac, and C. Gignoux, Eur. Phys. J. A 13, 363 (2002).
- H.-Q. Zhou, R.-G. Ping, and B.-S. Zou, Phys. Lett. B 611, 123 (2005).
- J. Lu, X.-L. Chen, W.-Z. Deng, and S.-L. Zhu, Phys. Rev. D 73, 054012 (2006).
- B. Zhang, X. Liu, W.-Z. Deng, and S.-L. Zhu, Eur. Phys. J. C 50, 617 (2007).
- Z.-G. Luo, X.-L. Chen, and X. Liu, Phys. Rev. D 79, 074020 (2009).
- Z.-F. Sun and X. Liu, Phys. Rev. D 80, 074037 (2009).
- X. Liu, Z.-G. Luo, and Z.-F. Sun, Phys. Rev. Lett. 104, 122001 (2010).
- Z.-F. Sun, J.-S. Yu, X. Liu, and T. Matsuki, Phys. Rev. D 82, 111501 (2010).
- T. A. Rijken, M. M. Nagels, and Y. Yamamoto, Nucl. Phys. A835, 160 (2010).
- Z.-C. Ye, X. Wang, X. Liu, and Q. Zhao, Phys. Rev. D 86, 054025 (2012).
- X. Wang, Z.-F. Sun, D.-Y. Chen, X. Liu, and T. Matsuki, Phys. Rev. D 85, 074024 (2012).
- L.-P. He, X. Wang, and X. Liu, Phys. Rev. D 88, 034008 (2013).
- Y. Sun, X. Liu, and T. Matsuki, Phys. Rev. D 88, 094020 (2013).
- Y.-R. Wang, Y. Ma, and C.-Q. Pang, Int. J. Mod. Phys. A 38, 2350118 (2023).
- T.-Y. Li, Y.-R. Wang, and C.-Q. Pang, Phys. Rev. D 107, 074008 (2023).
- T.-Y. Li, L. Tang, Z.-Y. Fang, C.-H. Wang, and C.-Q. Pang, Phys. Rev. D 108, 034019 (2023).
- L.-M. Wang, Q.-S. Zhou, C.-Q. Pang, and X. Liu, Phys. Rev. D 102, 114034 (2020).
- C.-Q. Pang, J.-Z. Wang, X. Liu, and T. Matsuki, Eur. Phys. J. C 77, 861 (2017).
- J.-C. Feng, X.-W. Kang, Q.-F. Lü, and F.-S. Zhang, Phys. Rev. D 104, 054027 (2021).
- M. Jacob and G. C. Wick, Ann. Phys. (N.Y.) 7, 404 (1959).
- H.-Y. Cheng, Proc. Sci., Hadron2013 (2013) 090 [arXiv:1311.2370].
- I. Asghar, F. Akram, B. Masud, and M. A. Sultan, Phys. Rev. D 100, 096002 (2019).
- S. Godfrey, AIP Conf. Proc. 132, 262 (1985).
- G. S. Bali, H. Neff, T. Duessel, T. Lippert, and K. Schilling (SESAM Collaboration), Phys. Rev. D 71, 114513 (2005).
- J. Vijande, F. Fernández, and A. Valcarce, J. Phys. G 31, 481 (2005).
- X.-Y. Chen, Y. Tan, Y. Chen, X.-J. Liu, and J.-L. Ping, Mod. Phys. Lett. A 41, 2650044 (2026).
- R. Machleidt, K. Holinde, and C. Elster, Phys. Rep. 149, 1 (1987).
- L. Y. Glozman and D. O. Riska, Phys. Rep. 268, 263 (1996).
- A. Valcarce, H. Garcilazo, F. Fernández, and P. González, Rep. Prog. Phys. 68, 965 (2005).
- J. Vijande, A. Valcarce, and K. Tsushima, Phys. Rev. D 74, 054018 (2006).
- U. Taboada-Nieto, P. G. Ortega, D. R. Entem, F. Fernández, and J. Segovia, Eur. Phys. J. A 59, 40 (2023).
- D. R. Entem, F. Fernández, P. G. Ortega, and J. Segovia, arXiv:2504.07897.
- Y. Tan, X.-J. Liu, X.-Y. Chen, H.-X. Huang, and J.-L. Ping, Phys. Rev. D 108, 014017 (2023).