\begin{document}$ J^{PC}=0^{++} $\end{document} were recently discovered by the LHCb Collaboration in the \begin{document}$ D_s^+D_s^- $\end{document} invariant mass distribution of the decay process \begin{document}$ B^+\to D_s^+D_s^-K^+ $\end{document}. In our study, we employed a coupled-channel model to fit the experimental results published by the LHCb Collaboration, simultaneously fitting the model to the invariant mass distributions of \begin{document}$ M_{D_s^+D_s^-} $\end{document}, \begin{document}$ M_{D_s^+K^+} $\end{document}, and \begin{document}$ M_{D_s^-K^+} $\end{document}. We utilized a coupled-channel model to search for the poles of \begin{document}$ X(3960) $\end{document} and \begin{document}$ X_0(4140) $\end{document}. The determination of the poles is meaningful in itself, and it also lays a foundation for future research on \begin{document}$ X(3960) $\end{document} and \begin{document}$ X_0(4140) $\end{document}. Upon turning off the coupled-channel and performing another fit, we observed a change in the fitting quality, and the effect was almost entirely due to the peak of \begin{document}$ X(3960) $\end{document}. Therefore, we suggest that \begin{document}$ X(3960) $\end{document} may not be a kinematic effect."> Pole determination of <inline-formula><tex-math id="M1">\begin{document}$ {\boldsymbol X{\bf{(3960)}}} $\end{document}</tex-math><alternatives><graphic specific-use="online" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/5ae4b35a-3c16-4964-a4c7-d07e8e9ecabd/CPC-2024-0514_M1.jpg"/><graphic specific-use="print" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/5ae4b35a-3c16-4964-a4c7-d07e8e9ecabd/CPC-2024-0514_M1.png"/></alternatives></inline-formula> and <inline-formula><tex-math id="M2">\begin{document}$ {\boldsymbol X_{\bf 0}{\bf{(4140)}}} $\end{document}</tex-math><alternatives><graphic specific-use="online" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/5ae4b35a-3c16-4964-a4c7-d07e8e9ecabd/CPC-2024-0514_M2.jpg"/><graphic specific-use="print" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/5ae4b35a-3c16-4964-a4c7-d07e8e9ecabd/CPC-2024-0514_M2.png"/></alternatives></inline-formula> in the decay <inline-formula><tex-math id="M3">\begin{document}${{\boldsymbol B}^{\bf +}{\bf\to}{\boldsymbol D}_{\boldsymbol s}^{\bf +}{\boldsymbol D}_{\boldsymbol s}^{\bf -}{\boldsymbol K}^{\bf +} }$\end{document}</tex-math><alternatives><graphic specific-use="online" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/5ae4b35a-3c16-4964-a4c7-d07e8e9ecabd/CPC-2024-0514_M3.jpg"/><graphic specific-use="print" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/5ae4b35a-3c16-4964-a4c7-d07e8e9ecabd/CPC-2024-0514_M3.png"/></alternatives></inline-formula> -
  • [1]

    H.-X. Chen, W. Chen, X. Liuet al., Phys. Rept.639, 1 (2016), arXiv: 1601.02092[hep-ph]

  • [2]

    A. Hosaka, T. Iijima, K. Miyabayashiet al., PTEP062, 062C01 (2016), arXiv: 1603.09229[hep-ph]

  • [3]

    R. F. Lebed, R. E. Mitchell, and E. S. Swanson, Prog. Part. Nucl. Phys.93, 143 (2017), arXiv: 1610.04528[hepph]

  • [4]

    A. Esposito, A. Pilloni, and A. D. Polosa, Phys. Rept.668, 1 (2017), arXiv: 1611.07920[hep-ph]

  • [5]

    A. Ali, J. S. Lange, and S. Stone, Prog. Part. Nucl. Phys.97, 123 (2017), arXiv: 1706.00610[hep-ph]

  • [6]

    F.-K. Guo, C. Hanhart, U.-G. Meißneret al., Rev. Mod. Phys.90, 015004 (2018), arXiv: 1705.00141[hep-ph]

  • [7]

    S. L. Olsen, T. Skwarnicki, and D. Zieminska, Rev. Mod. Phys.90, 015003 (2018), arXiv: 1708.04012[hep-ph]

  • [8]

    N. Brambilla, S. Eidelman, C. Hanhartet al., Phys. Rept.873, 1 (2020), arXiv: 1907.07583[hep-ex]

  • [9]

    R. Aaijet al. (LHCb), Phys. Rev. Lett.127, 082001 (2021), arXiv: 2103.01803[hep-ex]

  • [10]

    T. Aaltonenet al. (CDF), Phys. Rev. Lett.102, 242002 (2009), arXiv: 0903.2229[hep-ex]

  • [11]

    V. M. Abazovet al. (D0), Phys. Rev. D89, 012004 (2014), arXiv: 1309.6580[hep-ex]

  • [12]

    R. Aaijet al. (LHCb), Phys. Rev. Lett.125, 242001 (2020), arXiv: 2009.00025[hep-ex]

  • [13]

    R. Aaijet al. (LHCb), Phys. Rev. D102, 112003 (2020), arXiv: 2009.00026[hep-ex]

  • [14]

    Z. P. Xing, F. Huang, and W. Wang, Phys. Rev. D106, 114041 (2022), arXiv: 2203.13524[hep-ph]

  • [15]

    M. Y. Duan, E. Wang, and D. Y. Chen, (2023), arXiv: 2305.09436[hep-ph]

  • [16]

    W. T. Lyu, Y. H. Lyu, M. Y. Duanet al., (2023), arXiv: 2306.16101[hep-ph]

  • [17]

    X. Q. Li, L. J. Liu, E. Wanget al., (2023), arXiv: 2307.04324[hep-ph]

  • [18]

    R. Aaijet al. (LHCb), Phys. Rev. Lett.131, 071901 (2023), arXiv: 2210.15153[hep-ex]

  • [19]

    J. Nieves and M. P. Valderrama, Phys. Rev. D86, 056004 (2012), arXiv: 1204.2790[hep-ph]

  • [20]

    Z.-G. Wang, Eur. Phys. J. C74, 2874 (2014), arXiv: 1311.1046[hep-ph]

  • [21]

    R. F. Lebed and A. D. Polosa, Phys. Rev. D93, 094024 (2016), arXiv: 1602.08421[hep-ph]

  • [22]

    W. Chen, H. X. Chen, X. Liuet al., Phys. Rev. D96, 114017 (2017), arXiv: 1706.09731[hep-ph]

  • [23]

    L. Meng, B. Wang, and S.-L. Zhu, Sci. Bull.66, 1288 (2021), arXiv: 2012.09813[hep-ph]

  • [24]

    S. S. Agaev, K. Azizi, and H. Sundu, Phys. Rev. D95, 114003 (2017), arXiv: 1703.10323[hep-ph]

  • [25]

    H. Sundu, S. S. Agaev, and K. Azizi, Phys. Rev. D98, 054021 (2018), arXiv: 1805.04705[hep-ph]

  • [26]

    S. S. Agaev, K. Azizi, and H. Sundu, Phys. Rev. D106, 014025 (2022), arXiv: 2203.02542[hep-ph]

  • [27]

    H. Mutuk, Eur. Phys. J. C82, 1142 (2022), arXiv: 2211.14836[hep-ph]

  • [28]

    Q. Xin, Z. G. Wang, and X. S. Yang, AAPPS Bull.32, 37 (2022), arXiv: 2207.09910[hep-ph]

  • [29]

    S. S. Agaev, K. Azizi, and H. Sundu, Phys. Rev. D107, 054017 (2023), arXiv: 2211.14129[hep-ph]

  • [30]

    R. Chen and Q. Huang, (2022), arXiv: 2209.05180[hepph]

  • [31]

    M. Bayar, A. Feijoo, and E. Oset, Phys. Rev. D107, 034007 (2023), arXiv: 2207.08490[hep-ph]

  • [32]

    T. Ji, X. K. Dong, M. Albaladejoet al., Phys. Rev. D106, 094002 (2022), arXiv: 2207.08563[hep-ph]

  • [33]

    T. Ji, X. K. Dong, M. Albaladejoet al., Sci. Bull.68, 688 (2023), arXiv: 2212.00631[hep-ph]

  • [34]

    A. M. Badalian and Y. A. Simonov, Eur. Phys. J. C83, 410 (2023), arXiv: 2301.13597[hep-ph]

  • [35]

    T. Guo, J. Li, J. Zhaoet al., Chin. Phys. C47, 063107 (2023), arXiv: 2211.10834[hep-ph]

  • [36]

    Y. Chen, H. Chen, C. Menget al., Eur. Phys. J. C83, 381 (2023), arXiv: 2302.06278[hepph]

  • [37]

    S. X. Nakamura and J. J. Wu, Phys. Rev. D108, L011501 (2023), arXiv: 2208.11995[hep-ph]

  • [38]

    X. K. Dong, F. K. Guo, and B. S. Zou, Phys. Rev. Lett.126, 152001 (2021), arXiv: 2011.14517[hep-ph]

  • [39]

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

  • [40]

    Q. F. Cao, H. R. Qi, G. Y. Tanget al., Eur. Phys. J. C81, 83 (2021), arXiv: 2002.05641[hep-ph]

  • [41]

    Q. F. Cao, H. R. Qi, Y. F. Wanget al., Phys. Rev. D100, 054040 (2019), arXiv: 1906.00356[hepph]

  • [42]

    N. Suzuki, T. Sato, and T. S. H. Lee, (2009), arXiv: 0910.1742[nucl-th]

  • [43]

    N. Suzuki, T. Sato, and T. S. H. Lee, Phys. Rev. C79, 025205 (2009), arXiv: 0806.2043[nucl-th]

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