\begin{document}$ BB\Upsilon $\end{document}, \begin{document}$ BB^{*}\Upsilon $\end{document}, \begin{document}$ B^{*}B^{*}\Upsilon $\end{document}, \begin{document}$ BB^{*}\eta_{b} $\end{document} , and \begin{document}$ B^{*}B^{*}\eta_{b} $\end{document} are analyzed in the framework of QCD sum rules. All possible off-shell cases and the contributions of vacuum condensate terms including \begin{document}$ \langle\overline{q}q\rangle $\end{document}, \begin{document}$ \langle\overline{q}g_{s}\sigma Gq\rangle $\end{document}, \begin{document}$ \langle g_{s}^{2}G^{2}\rangle $\end{document}, \begin{document}$ \langle f^{3}G^{3}\rangle $\end{document} , and \begin{document}$ \langle\overline{q}q\rangle\langle g_{s}^{2}G^{2}\rangle $\end{document} are considered. The momentum dependent strong coupling constants are first calculated and then fitted into the analytical function \begin{document}$ g(Q^{2}) $\end{document}, which is extrapolated to time-like regions to obtain the final values of strong coupling constants. The final results are \begin{document}$ g_{BB\Upsilon}=40.67^{+7.55}_{-4.20} $\end{document}, \begin{document}$ g_{BB^{*}\Upsilon}=11.58^{+2.19}_{-1.09} $\end{document} GeV\begin{document}$ ^{-1} $\end{document}, \begin{document}$ g_{B^{*}B^{*}\Upsilon}=57.02^{+5.32}_{-5.31} $\end{document}, \begin{document}$ g_{BB^{*}\eta_{b}}=23.39^{+4.74}_{-2.30} $\end{document} , and \begin{document}$ g_{B^{*}B^{*}\eta_{b}}=12.49^{+2.12}_{-1.35} $\end{document} GeV\begin{document}$ ^{-1} $\end{document}. These strong coupling constants are important input parameters that reflect the dynamic properties of the interactions among the mesons and quarkonia."> Strong vertices of bottom mesons <i>B</i> and <i>B</i>* and bottomonia <inline-formula><tex-math id="Z-20231214134543">\begin{document}${\Upsilon }$\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/6882cbd4-7e1e-4cef-adde-bc15651789e0/CPC-2023-0328_Z-20231214134543.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/6882cbd4-7e1e-4cef-adde-bc15651789e0/CPC-2023-0328_Z-20231214134543.png"/></alternatives></inline-formula>, <i>η<sub>b</sub></i> -
  • [1]

    T. Matsui and H. Satz, Phys. Lett. B178, 416 (1986)

  • [2]

    R. Vogt, Phys. Rept.310, 197 (1999)

  • [3]

    R. Rapp, D. Blaschke, and P. Crochet, Prog. Part. Nucl. Phys.65, 209 (2010)

  • [4]

    S. G. Matinyan and B. Muller, Phys. Rev. C58, 2994 (1998)

  • [5]

    K. L. Haglin, Phys. Rev. C61, 031902 (2000)

  • [6]

    Z. W. Lin and C. M. Ko, Phys. Rev. C62, 034903 (2000)

  • [7]

    A. Sibirtsev, K. Tsushima, and A. W. Thomas, Phys. Rev. C63, 044906 (2001)

  • [8]

    Z. W. Lin and C. M. Ko, Phys. Lett. B503, 104 (2001)

  • [9]

    R. Casalbuoni, A. Deandrea, N. Di Bartolomeoet al., Phys. Rept.281, 145 (1997)

  • [10]

    C. Meng and K. T. Chao, Phys. Rev. D78, 074001 (2008)

  • [11]

    F. S. Navarra, M. Nielsen, M. E. Braccoet al., Phys. Lett. B489, 319 (2000)

  • [12]

    F. S. Navarra, M. Nielsen and M. E. Bracco, Phys. Rev. D65, 037502 (2002)

  • [13]

    R. Rodrigues da Silva, R. D. Matheus, F. S. Navarraet al., Braz. J. Phys.34, 236 (2004)

  • [14]

    M. E. Bracco, M. Chiapparini, F. S. Navarraet al., Phys. Lett. B605, 326 (2005)

  • [15]

    M. E. Bracco, A. Cerqueira, Jr., M. Chiappariniet al., Phys. Lett. B641, 286 (2006)

  • [16]

    M. E. Bracco, M. Chiapparini, F. S. Navarraet al., Phys. Lett. B659, 559 (2008)

  • [17]

    M. E. Bracco and M. Nielsen, Phys. Rev. D82, 034012 (2010)

  • [18]

    B. Osorio Rodrigues, M. E. Bracco, M. Nielsenet al., Nucl. Phys. A852, 127 (2011)

  • [19]

    K. Azizi and H. Sundu, J. Phys. G38, 045005 (2011)

  • [20]

    H. Sundu, J. Y. Sungu, S. Sahinet al., Phys. Rev. D83, 114009 (2011)

  • [21]

    A. Cerqueira, Jr., B. Osorio Rodrigues, and M. E. Bracco, Nucl. Phys. A874, 130 (2012)

  • [22]

    C. Y. Cui, Y. L. Liu, and M. Q. Huang, Phys. Lett. B707, 129 (2012)

  • [23]

    C. Y. Cui, Y. L. Liu, and M. Q. Huang, Phys. Lett. B711, 317 (2012)

  • [24]

    M. E. Bracco, M. Chiapparini, F. S. Navarraet al., Prog. Part. Nucl. Phys.67, 1019 (2012)

  • [25]

    G. L. Yu, Z. Y. Li, and Z. G. Wang, Eur. Phys. J. C75, 243 (2015)

  • [26]

    G. L. Yu, Z. G. Wang and Z. Y. Li, Eur. Phys. J. C79, 798 (2019)

  • [27]

    Z. Y. Li, Z. G. Wang, and G. L. Yu, Mod. Phys. Lett. A31, 1650036 (2016)

  • [28]

    B. O. Rodrigues, M. E. Bracco, and C. M. Zanetti, Nucl. Phys. A966, 208 (2017)

  • [29]

    J. Lu, G. L. Yu, and Z. G. Wang, Eur. Phys. J. A59, 195 (2023)

  • [30]

    P. Colangelo, F. De Fazio, G. Nardulliet al., Phys. Rev. D52, 6422 (1995)

  • [31]

    T. M. Aliev, N. K. Pak, and M. Savci, Phys. Lett. B390, 335 (1997)

  • [32]

    P. Colangelo and F. De Fazio, Eur. Phys. J. C4, 503 (1998)

  • [33]

    Y. B. Dai and S. L. Zhu, Phys. Rev. D58, 074009 (1998)

  • [34]

    S. L. Zhu and Y. B. Dai, Phys. Rev. D58, 094033 (1998)

  • [35]

    A. Khodjamirian, R. Ruckl, S. Weinzierlet al., Phys. Lett. B457, 245 (1999)

  • [36]

    Z. H. Li, T. Huang, J. Z. Sunet al., Phys. Rev. D65, 076005 (2002)

  • [37]

    H. C. Kim and S. H. Lee, Eur. Phys. J. C22, 707 (2002)

  • [38]

    Z. G. Wang and S. L. Wan, Phys. Rev. D73, 094020 (2006)

  • [39]

    Z. G. Wang and S. L. Wan, Phys. Rev. D74, 014017 (2006)

  • [40]

    Z. G. Wang, Eur. Phys. J. C52, 553 (2007)

  • [41]

    Z. G. Wang, Nucl. Phys. A796, 61 (2007)

  • [42]

    Z. G. Wang, Phys. Rev. D77, 054024 (2008)

  • [43]

    Z. G. Wang and Z. B. Wang, Chin. Phys. Lett.25, 444 (2008)

  • [44]

    Z. H. Li, W. Liu, and H. Y. Liu, Phys. Lett. B659, 598 (2008)

  • [45]

    A. Khodjamirian, B. Melić, Y. M. Wanget al., JHEP03, 016 (2021)

  • [46]

    A. Khodjamirian, C. Klein, T. Mannel and Y. M. Wang, JHEP09, 106 (2011)

  • [47]

    Z. G. Wang, Phys. Rev. D89, 034017 (2014)

  • [48]

    L. J. Reinders, H. Rubinstein, and S. Yazaki, Phys. Rept.127, 1 (1985)

  • [49]

    Y. M. Wang, H. Zou, Z. T. Weiet al., Eur. Phys. J. C54, 107 (2008)

  • [50]

    R. L. Workmanet al. (Particle Data Group), PTEP2022, 083C01 (2022)

  • [51]

    Z. G. Wang, Eur. Phys. J. C75, 427 (2015)

  • [52]

    D. Bečirević, B. Melić, M. Patraet al., Phys. Rev. D97, 015008 (2018)

  • [53]

    S. Narison, Phys. Lett. B693, 559 (2010), [Erratum: Phys. Lett. B 705, 544 (2011)

  • [54]

    S. Narison, Phys. Lett. B706, 412 (2012)

  • [55]

    S. Narison, Phys. Lett. B707, 259 (2012)

Baidu
map