\begin{document}$ K^*(1680) $\end{document} state in its strong decays into two-body final states within the flux-tube model and quark pair creation model. Since charge conjugation parity is not conserved in the strange sector, the conventional \begin{document}$ q\bar{q} $\end{document} states with \begin{document}$ J^{P(C)}=1^{-(-)} $\end{document} can mix with the lowest hybrid states with \begin{document}$ J^{P(C)}=1^{-(+)} $\end{document}. Our analysis of the \begin{document}$ K^*(1680) $\end{document} two-body strong decays indicates that the decay pattern of \begin{document}$ K^*(1680) $\end{document} cannot be explained by the conventional \begin{document}$ q\bar{q} $\end{document} scenario. Moreover, there is strong evidence for the \begin{document}$ q\bar{q} $\end{document}-hybrid mixing mechanism in the strange sector. The phenomenological consequences of such mixing are also discussed. Our study can provide guidance for future searches for hybrid multiplets in experiments at BESIII, LHCb, and Belle II."> Nature of <inline-formula><tex-math id="M1111">\begin{document}${K^*(1680)}$\end{document}</tex-math></inline-formula> and <inline-formula><tex-math id="M2222">\begin{document}${q\bar{q}}$\end{document}</tex-math></inline-formula>-hybrid mixing as the <i>SU</i>(3) partner of <inline-formula><tex-math id="M3333">\begin{document}${\eta_{1}(1855)}$\end{document}</tex-math></inline-formula> in the strange sector -
  • [1]

    M. Alekseevet al. (COMPASS Collaboration), Phys. Rev. Lett.104, 241803 (2010), arXiv: 0910.5842[hep-ex]

  • [2]

    M. Ablikimet al. (BESIII Collaboration), Phys. Rev. Lett.129, 192002 (2022), arXiv: 2202.00621

  • [3]

    M. Ablikimet al. (BESIII Collaboration), Phys. Rev. D106, 072012 (2022), arXiv: 2202.00623

  • [4]

    L. Qiu and Q. Zhao, Chin. Phys. C46, 051001 (2022), arXiv: 2202.00904

  • [5]

    H. X. Chen, N. Su, and S. L. Zhu, Chin. Phys. Lett.39(5), 051201 (2022), arXiv: 2202.04918[hep-ph]

  • [6]

    B. D. Wan, S. Q. Zhang, and C. F. Qiao, Phys. Rev. D106(7), 074003 (2022), arXiv: 2203.14014[hep-ph]

  • [7]

    V. Shastry, C. S. Fischer, and F. Giacosa, Phys. Lett. B834, 137478 (2022), arXiv: 2203.04327[hep-ph]

  • [8]

    X. K. Dong, Y. H. Lin, and B. S. Zou, Sci. China Phys. Mech. Astron.65(6), 261011 (2022), arXiv: 2202.00863[hep-ph]

  • [9]

    X. Y. Wang, F. C. Zeng, and X. Liu, Phys. Rev. D106(3), 036005 (2022), arXiv: 2205.09283[hep-ph]

  • [10]

    F. Chen, X. Jiang, Y. Chenet al., Phys. Rev. D107(5), 054511 (2023), arXiv: 2207.04694[hep-lat]

  • [11]

    M. J. Yan, J. M. Dias, A. Guevaraet al., Universe9(2), 109 (2023), arXiv: 2301.04432[hep-ph]

  • [12]

    V. Shastry and F. Giacosa, Nucl. Phys. A1037, 122683 (2023), arXiv: 2302.07687[hep-ph]

  • [13]

    E. S. Swanson, Phys. Rev. D107(7), 074028 (2023), arXiv: 2302.01372[hep-ph]

  • [14]

    B. Chen, S. Q. Luo, and X. Liu, Phys. Rev. D108(5), 054034 (2023), arXiv: 2302.06785[hep-ph]

  • [15]

    R. R. Dong, N. Su, and H. X. Chen, Eur. Phys. J. C82(11), 983 (2022), arXiv: 2206.09517[hep-ph]

  • [16]

    W. H. Tan, N. Su, and H. X. Chen, Phys. Rev. D110(3), 034031 (2024), arXiv: 2404.09538[hep-ph]

  • [17]

    G. T. Condoet al. (SLAC Hybrid Facility Photon Collaboration), Phys. Rev. D43, 2787 (1991)

  • [18]

    G. M. Beladidzeet al. (VES Collaboration), Phys. Lett. B313, 276 (1993)

  • [19]

    J. H. Lee, S. U. Chung, H. G. Kirket al., Phys. Lett. B323, 227 (1994)

  • [20]

    H. Aoyagi, S. Fukui, T. Hasegawaet al., Phys. Lett. B314, 246 (1993)

  • [21]

    D. R. Thompsonet al. (E852 Collaboration), Phys. Rev. Lett.79, 1630 (1997), arXiv: hep-ex/9705011

  • [22]

    S. U. Chunget al. (E852 Collaboration), Phys. Rev. D60, 092001 (1999), arXiv: hep-ex/9902003

  • [23]

    E. Klempt and A. Zaitsev, Phys. Rept.454, 1 (2007), arXiv: 0708.4016

  • [24]

    C. A. Meyer and E. S. Swanson, Prog. Part. Nucl. Phys.82, 21 (2015), arXiv: 1502.07276

  • [25]

    J. J. Dudeket al. (Hadron Spectrum Collaboration), Phys. Rev. D88, 094505 (2013), arXiv: 1309.2608

  • [26]

    J. J. Dudek, Phys. Rev. D84, 074023 (2011), arXiv: 1106.5515

  • [27]

    P. A. Zylaet al. (Particle Data Group), PTEP2020, 083C01 (2020)

  • [28]

    T. Barnes, N. Black, and P. R. Page, Phys. Rev. D68, 054014 (2003), arXiv: nucl-th/0208072

  • [29]

    Y. Q. Chenet al. (Belle Collaboration), Phys. Rev. D102, 012002 (2020), arXiv: 2003.07759

  • [30]

    L. Burakovsky and T. Goldman, Nucl. Phys. A625, 220 (1997), arXiv: hep-ph/9703272

  • [31]

    C. Q. Pang, J. Z. Wang, X. Liuet al., Eur. Phys. J. C77, 861 (2017), arXiv: 1705.03144

  • [32]

    A. Le Yaouanc, L. Oliver, O. Peneet al., Phys. Rev. D9, 1415 (1974)

  • [33]

    W. Roberts and B. Silvestre-Brac, Few Body Syst.11, 171 (1992)

  • [34]

    L. Micu, Nucl. Phys. B10, 521 (1969)

  • [35]

    A. Le Yaouanc, L. Oliver, O. Peneet al., Phys. Rev. D8, 2223 (1973)

  • [36]

    A. Le Yaouanc, L. Oliver, O. Peneet al., Phys. Rev. D11, 1272 (1975)

  • [37]

    A. Le Yaouanc, L. Oliver, O. Peneet al., Phys. Lett. B72, 57 (1977)

  • [38]

    J. Lu, X. L. Chen, W. Z. Denget al., Phys. Rev. D73, 054012 (2006), arXiv: hep-ph/0602167

  • [39]

    Q. F. Lü, T. T. Pan, Y. Y. Wanget al., Phys. Rev. D94, 074012 (2016), arXiv: 1607.02812

  • [40]

    C. Chen, X. L. Chen, X. Liuet al., Phys. Rev. D75, 094017 (2007), arXiv: 0704.0075

  • [41]

    B. Chen, K. W. Wei, X. Liuet al., Eur. Phys. J. C77, 154 (2017), arXiv: 1609.07967

  • [42]

    Z. Zhao, D. D. Ye, and A. Zhang, Phys. Rev. D94, 114020 (2016), arXiv: 1608.04856

  • [43]

    J. S. Yu, Z. F. Sun, X. Liuet al., Phys. Rev. D83, 114007 (2011), arXiv: 1104.3064[hep-ph]

  • [44]

    Z. C. Ye, X. Wang, X. Liuet al., Phys. Rev. D86, 054025 (2012), arXiv: 1206.0097[hep-ph]

  • [45]

    D. Horn and J. Mandula, Phys. Rev. D17, 898 (1978)

  • [46]

    T. Barnes and F. E. Close, Phys. Lett. B116, 365 (1982)

  • [47]

    P. R. Page, E. S. Swanson, and A. P. Szczepaniak, Phys. Rev. D59, 034016 (1999), arXiv: hep-ph/9808346

  • [48]

    F. E. Close and J. J. Dudek, Phys. Rev. D70, 094015 (2004), arXiv: hep-ph/0308099

  • [49]

    N. Isgur and J. E. Paton, Phys. Rev. D31, 2910 (1985)

  • [50]

    R. Kokoski and N. Isgur, Phys. Rev. D35, 907 (1987)

  • [51]

    H. G. Blundell and S. Godfrey, Phys. Rev. D53, 3700 (1996), arXiv: hep-ph/9508264

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