• [1]

    M. Ablikim et al. (BESIII Collaboration), Phys. Rev. D 107, 052010 (2023)

  • [2]

    J. Y. Ge et al. (CLEO Collaboration), Phys. Rev. D 80, 051102 (2009)

  • [3]

    S. Navas et al. (Particle Data Group), Phys. Rev. D 110, 030001 (2024)

  • [4]

    M. Ablikim et al. (BESIII Collaboration), Phys. Rev. Lett. 123, 112001 (2019)

  • [5]

    Y. K. Hsiao, Y. Yu, and B. C. Ke, Eur. Phys. J. C 80, 895 (2020)

  • [6]

    R. Molina, J. J. Xie, W. H. Liang, L. S. Geng, and E. Oset, Phys. Lett. B 803, 135279 (2020)

  • [7]

    M. Y. Duan, J. Y. Wang, G. Y. Wang, E. Wang, and D. M. Li, Eur. Phys. J. C 80, 1041 (2020)

  • [8]

    X. Z. Ling, M. Z. Liu, J. X. Lu, L. S. Geng, and J. J. Xie, Phys. Rev. D 103, 116016 (2021)

  • [9]

    M. Bayar, R. Molina, E. Oset, M. Z. Liu, and L. S. Geng, Phys. Rev. D 109, 076027 (2024)

  • [10]

    Y. Yu, Y. K. Hsiao, and B. C. Ke, Eur. Phys. J. C 81, 1093 (2021)

  • [11]

    R. Decker and E. Mirkes, Z. Phys. C 57, 495 (1993)

  • [12]

    N. Paver and Riazuddin, Phys. Rev. D 86, 037302 (2012)

  • [13]

    S. Weinberg, Phys. Rev. 112, 1375 (1958)

  • [14]

    B. Aubert et al. (BaBar Collaboration), arXiv: 0807.4900

  • [15]

    K. E. Alwyn (BaBar Collaboration), Nucl. Phys. B (Proc. Suppl.) 218, 110 (2011)

  • [16]

    G. Breit and E. Wigner, Phys. Rev. 49, 519 (1936)

  • [17]

    R. H. Dalitz, Strange particles and strong interactions, (Oxford Press, London, 1962)

  • [18]

    A. Astier, J. Cohen-Ganouna, M. D. Negra, B. Maréchal, L. Montanet, M. Tomas, M. Baubillier, and J. Duboc, Phys. Lett. B 25, 294 (1967)

  • [19]

    R. Aaij et al. (LHCb Collaboration), Phys. Rev. D 94, 072001 (2016)

  • [20]

    W. F. Wang and J. Chai, Phys. Lett. B 791, 342 (2019)

  • [21]

    H. Albrecht et al. (ARGUS Collaboration), Phys. Lett. B 185, 223 (1987)

  • [22]

    K. W. Edwards et al. (CLEO Collaboration), Phys. Rev. D 61, 072003 (2000)

  • [23]

    M. Davier, A. Höcker, and Z. Zhang, Rev. Mod. Phys. 78, 1043 (2006)

  • [24]

    B. Aubert et al. (BaBar Collaboration), Phys. Rev. Lett. 103, 041802 (2009)

  • [25]

    M. N. Achasov et al. (SND Collaboration), Phys. Rev. D 108, 092012 (2023)

  • [26]

    M. N. Achasov et al. (SND Collaboration), Phys. Rev. D 88, 054013 (2013)

  • [27]

    R. R. Akhmetshin et al. (CMD-2 Collaboration), Phys. Lett. B 562, 173 (2003)

  • [28]

    S. I. Dolinsky et al., Phys. Lett. B 174, 453 (1986)

  • [29]

    M. N. Achasov et al. (SND Collaboration), Phys. Lett. B 486, 29 (2000)

  • [30]

    F. Ambrosino et al. (KLOE Collaboration), Phys. Lett. B 669, 223 (2008)

  • [31]

    M. N. Achasov et al. (SND Collaboration), JETP Lett. 94, 734 (2012)

  • [32]

    M. N. Achasov et al. (SND Collaboration), Phys. Rev. D 94, 112001 (2016)

  • [33]

    J. P. Lees et al. (BaBar Collaboration), Phys. Rev. D 96, 092009 (2017)

  • [34]

    M. Ablikim et al. (BESIII Collaboration), Phys. Lett. B 813, 136059 (2021)

  • [35]

    J. P. Alexander et al. (CLEO Collaboration), Phys. Rev. D 64, 092001 (2001)

  • [36]

    B. Aubert et al. (BaBar Collaboration), Phys. Rev. D 74, 012001 (2006)

  • [37]

    D. Matvienko et al. (Belle Collaboration), Phys. Rev. D 92, 012013 (2015)

  • [38]

    A. Donnachie and Y. S. Kalashnikova, Phys. Rev. D 60, 114011 (1999)

  • [39]

    F. E. Close and P. R. Page, Nucl. Phys. B 443, 233 (1995)

  • [40]

    F. E. Close and P. R. Page, Phys. Rev. D 52, 1706 (1995)

  • [41]

    F. E. Close and P. R. Page, Phys. Rev. D 56, 1584 (1997)

  • [42]

    T. Barnes, F. E. Close, P. R. Page, and E. S. Swanson, Phys. Rev. D 55, 4157 (1997)

  • [43]

    M. Ablikim et al. (BESIII Collaboration), Phys. Rev. D 105, 032009 (2022)

  • [44]

    G. N. Fleming, Phys. Rev. 135, B551 (1964)

  • [45]

    D. Morgan, Phys. Rev. 166, 1731 (1968)

  • [46]

    D. Herndon, P. Soding, and R. J. Cashmore, Phys. Rev. D 11, 3165 (1975)

  • [47]

    Y. S. Ren, A. J. Ma, and W. F. Wang, JHEP 01, 047 (2024)

  • [48]

    W. F. Wang, Phys. Rev. D 101, 111901(R) (2020)

  • [49]

    W. F. Wang, Phys. Rev. D 103, 056021 (2021)

  • [50]

    A. J. Ma and W. F. Wang, Phys. Rev. D 103, 016002 (2021)

  • [51]

    A. J. Ma and W. F. Wang, Chin. Phys. C 46, 053104 (2022)

  • [52]

    S. H. Zhou, X. X. Hai, R. H. Li, and C. D. Lü, Phys. Rev. D 107, 116023 (2023)

  • [53]

    S. H. Zhou, R. H. Li, and X. Y. Lü, Phys. Rev. D 110, 056001 (2024)

  • [54]

    W. F. Wang, L. F. Yang, A. J. Ma, and À. Ramos, Phys. Rev. D 109, 116009 (2024)

  • [55]

    W. F. Wang, Phys. Rev. D 104, 116019 (2021)

  • [56]

    J. Insler et al. (CLEO Collaboration), Phys. Rev. D 85, 092016 (2012), 94, 099905(E) (2016)

  • [57]

    R. Aaij et al. (LHCb Collaboration), Phys. Rev. D 93, 052018 (2016)

  • [58]

    J.-P. Dedonder, R. Kamiński, L. Leśniak, and B. Loiseau, Phys. Rev. D 103, 114028 (2021)

  • [59]

    Q. S. Zhou, J. Z. Wang, X. Liu, and T. Matsuki, Phys. Rev. D 105, 074035 (2022)

  • [60]

    B. Bhattacharya, M. Gronau, and J. L. Rosner, Phys. Rev. D 85, 054014 (2012)

  • [61]

    H. Y. Cheng and C. W. Chiang, Phys. Rev. D 86, 014014 (2012)

  • [62]

    H. Y. Cheng and C. W. Chiang, Phys. Rev. D 85, 034036 (2012), 85, 079903(E) (2012)

  • [63]

    H. Y. Cheng, C. W. Chiang, and A. L. Kuo, Phys. Rev. D 93, 114010 (2016)

  • [64]

    H. Y. Cheng and C. W. Chiang, Phys. Rev. D 100, 093002 (2019)

  • [65]

    H. Y. Cheng and C. W. Chiang, Phys. Rev. D 104, 073003 (2021)

  • [66]

    H. Y. Cheng, C. W. Chiang, and F. R. Xu, Phys. Rev. D 110, 094052 (2024)

  • [67]

    H. n. Li, C. D. Lü, and F. S. Yu, Phys. Rev. D 86, 036012 (2012)

  • [68]

    Q. Qin, H. n. Li, C. D. Lü, and F. S. Yu, Phys. Rev. D 89, 054006 (2014)

  • [69]

    H. Zhou, B. Zheng, and Z. H. Zhang, Adv. High Energy Phys. 2018, 7627308 (2018)

  • [70]

    X. D. Zhou and S. H. Zhou, Phys. Rev. D 111, 116008 (2025)

  • [71]

    J. H. Alvarenga Nogueira et al., arXiv: 1605.03889

  • [72]

    D. Boito, J. P. Dedonder, B. El-Bennich, R. Escribano, R. Kamiński, L. Leśniak, and B. Loiseau, Phys. Rev. D 96, 113003 (2017)

  • [73]

    G. Buchalla, A. J. Buras, and M. E. Lautenbacher, Rev. Mod. Phys. 68, 1125 (1996)

  • [74]

    N. Cabibbo, Phys. Rev. Lett. 10, 531 (1963)

  • [75]

    M. Kobayashi and T. Maskawa, Prog. Theor. Phys. 49, 652 (1973)

  • [76]

    J. M. Blatt and V. F. Weisskopf, Theoretical nuclear physics (Springer, New York, 1952)

  • [77]

    S. Kopp et al. (CLEO Collaboration), Phys. Rev. D 63, 092001 (2001)

  • [78]

    C. Bruch, A. Khodjamirian, and J. H. Kühn, Eur. Phys. J. C 39, 41 (2005)

  • [79]

    H. Czyż, A. Grzelińska, and J. H. Kühn, Phys. Rev. D 81, 094014 (2010)

  • [80]

    D. H. Boal, B. J. Edwards, A. N. Kamal, R. Rockmore, and R. Torgerson, Phys. Lett. B 66, 165 (1977)

  • [81]

    Ö. Kaymakcalan, S. Rajeev, and J. Schechter, Phys. Rev. D 30, 594 (1984)

  • [82]

    S. Fajfer, K. Suruliz, and R. J. Oakes, Phys. Rev. D 46, 1195 (1992)

  • [83]

    S. Pacetti, Eur. Phys. J. A 38, 331 (2008)

  • [84]

    I. Caprini, Phys. Rev. D 92, 014014 (2015)

  • [85]

    H. Schäfer, M. Zanke, Y. Korte, and B. Kubis, Phys. Rev. D 108, 074025 (2023)

  • [86]

    S. S. Fang, B. Kubis, and A. Kupść, Prog. Part. Nucl. Phys. 120, 103884 (2021)

  • [87]

    G. Li, Y. J. Zhang, and Q. Zhao, J. Phys. G 36, 085008 (2009)

  • [88]

    A. B. Arbuzov, E. A. Kuraev and M. K. Volkov, Phys. Rev. C 83, 048201 (2011)

  • [89]

    M. K. Volkov, A. B. Arbuzov and D. G. Kostunin, Phys. Rev. D 86, 057301 (2012)

  • [90]

    M. Lublinsky, Phys. Rev. D 55, 249 (1997)

  • [91]

    A. Flores-Tlalpa and G. López-Castro, Phys. Rev. D 77, 113011 (2008)

  • [92]

    T. Feldmann, P. Kroll, and B. Stech, Phys. Rev. D 58, 114006 (1998)

  • [93]

    T. Feldmann, P. Kroll, and B. Stech, Phys. Lett. B 449, 339 (1999)

  • [94]

    F. Ambrosino et al. (KLOE Collaboration), JHEP 07, 105 (2009)

  • [95]

    F. Ambrosino et al. (KLOE Collaboration), Phys. Lett. B 648, 267 (2007)

  • [96]

    R. Aaij et al. (LHCb Collaboration), JHEP 01, 024 (2015)

  • [97]

    M. Ablikim et al. (BESIII Collaboration), Phys. Rev. Lett. 122, 121801 (2019)

  • [98]

    M. Ablikim et al. (BESIII Collaboration), Phys. Rev. D 108, 092003 (2023)

  • [99]

    D. Melikhov, https://link.springer.com/article/10.1007/s1010502c0002 Eur. Phys. J. direct 4, no.1, 2 (2002), arXiv: hep-ph/0110087

  • [100]

    V. Lubicz et al. (ETM Collaboration), Phys. Rev. D 96, 054514 (2017)

  • [101]

    M. Ablikim et al. (BESIII Collaboration), Phys. Rev. Lett. 132, 091802 (2024)

  • [102]

    M. Ablikim et al. (BESIII Collaboration), Phys. Rev. D 110, 072017 (2024)

  • [103]

    A. Bharucha, D. M. Straub, and R. Zwicky, J. High Energy Phys. 08, (2016)

  • [104]

    W. F. Wang and H. n. Li, Phys. Lett. B 763, 29 (2016)

  • [105]

    A. B. Clegg and A. Donnachie, Z. Phys. C 62, 455 (1994)

  • [106]

    A. Bazavov et al. (Fermilab Lattice and MILC Collaborations), Phys. Rev. D 98, 074512 (2018)

  • [107]

    S. Aoki et al. (Flavour Lattice Averaging Group), Eur. Phys. J. C 80, 113 (2020)

  • [108]

    M. Ablikim et al. (BESIII Collaborations), arXiv: 2407.20551

  • [109]

    H. Y. Cheng, Phys. Rev. D 67, 094007 (2003)

  • [110]

    A. J. Ma and W. F. Wang, arXiv: 2508.09578