\begin{document}$B{B}^{* }\bar{K}$\end{document} systems using the Born-Oppenheimer approximation. To leading order, only one-pion exchange potentials are considered. This means that the three constituents share one virtual pion. This is similar to the role of the delocalized π bond for the formation of benzene in chemistry. After solving the Schrödinger equation, we find two three-body DD*K and \begin{document}$B{B}^{* }\bar{K}$\end{document} bound states with masses \begin{document}${4317.92}_{-4.32}^{+3.66}\, {\rm{MeV}}$\end{document} and \begin{document}${11013.65}_{-8.84}^{+8.49}\, {\rm{MeV}}$\end{document}, respectively. The masses of their \begin{document}$D{\bar{D}}^{* }K$\end{document} and \begin{document}$B{\bar{B}}^{* }\bar{K}$\end{document} analogues are \begin{document}${4317.92}_{-6.55}^{+6.13}\, {\rm{MeV}}$\end{document} and \begin{document}${11013.65}_{-9.02}^{+8.68}\, {\rm{MeV}}$\end{document}, respectively. From the experimental side, the \begin{document}$D{\bar{D}}^{* }K$\end{document} bound state could be found by analyzing the current world data on the \begin{document}$B\to J/\psi \pi \pi K$\end{document} process, by focusing on the J/ψπK channel."> Double heavy tri-hadron bound state via delocalized <i>π</i> bond -
  • [1]

    F. K. Guo, C. Hanhart, U.-G. Meißner, Q. Wang, Q. Zhao, and B. S. Zou, Rev. Mod. Phys.,90(1):015004(2018)

  • [2]

    R. H. Dalitz and S. F. Tuan, Phys. Rev. Lett.,2:425(1959).

  • [3]

    R. H. Dalitz and S. F. Tuan, Annals Phys.,10:307(1960)

  • [4]

    N. Kaiser, P. B. Siegel, and W. Weise, Nucl. Phys. A,594:325(1995)

  • [5]

    J. A. Oller and U.-G. Meißner, Phys. Lett. B,500:263(2001)

  • [6]

    D. Jido, J. A. Oller, E. Oset, A. Ramos, and U.-G. Meißner, Nucl. Phys. A,725:181(2003)

  • [7]

    Y. Ikeda, T. Hyodo, and W. Weise, Nucl. Phys. A,881:98(2012)

  • [8]

    Z. H. Guo and J. A. Oller, Phys. Rev. C,87(3):035202(2013)

  • [9]

    M. Mai and U.-G. Meißner, Nucl. Phys. A,900:51(2013)

  • [10]

    A. Cieplý, M. Mai, U.-G. Meißner, and J. Smejkal, Nucl. Phys. A,954:17(2016)

  • [11]

    C. Patrignani et al (Particle Data Group), Chin. Phys. C,40: no. 10, 100001(2016).

  • [12]

    Y. Sada et al (J-PARC E15 Collaboration), PTEP,2016(5): 051D01(2016)

  • [13]

    T. Hashimoto et al (J-PARC E15 Collaboration), PTEP,2015(6): 061D01(2015)

  • [14]

    F. K. Guo, C. Hanhart, and U.-G. Meißner, Phys. Lett. B,665:26(2008)

  • [15]

    A. Martinez Torres, K. P. Khemchandani, L. S. Geng, M. Napsuciale, and E. Oset, Phys. Rev. D,78:074031(2008)

  • [16]

    A. Martinez Torres, D. Jido, and Y. Kanada-En'yo, Phys. Rev. C,83:065205(2011)

  • [17]

    A. Martinez Torres, K. P. Khemchandani, D. Jido, and A. Hosaka, Phys. Rev. D,84:074027(2011)

  • [18]

    A. Martinez Torres, K. P. Khemchandani, D. Gamermann, and E. Oset, Phys. Rev. D,80:094012(2009)

  • [19]

    V. R. Debastiani, J. M. Dias, and E. Oset, Phys. Rev. D,96(1):016014(2017)

  • [20]

    J. M. Dias, V. R. Debastiani, L. Roca, S. Sakai, and E. Oset, Phys. Rev. D,96(9):094007(2017)

  • [21]

    E. Wilbring, H. -W. Hammer, and U. -G. Meißner, arXiv: 1705. 06176[hep-ph].

  • [22]

    X. L. Ren, B. B. Malabarba, L. S. Geng, K. P. Khemchandani, and A. Martínez Torres, arXiv: 1805. 08330[hep-ph]

  • [23]

    M. P. Valderrama, Phys. Rev. D,98(1):014022(2018)

  • [24]

    M. P. Valderrama, arXiv: 1805. 10584[hep-ph]

  • [25]

    M. Bayar, C. W. Xiao, T. Hyodo, A. Dote, M. Oka, and E. Oset, Phys. Rev. C,86:044004(2012)

  • [26]

    C. W. Xiao, M. Bayar, and E. Oset, Phys. Rev. D,84:034037(2011)

  • [27]

    D. Jido and Y. Kanada-En'yo, Phys. Rev. C,78:035203(2008)

  • [28]

    E. Epelbaum, H. W. Hammer, and U.-G. Meißner, Rev. Mod. Phys.,81:1773(2009)

  • [29]

    N. Kalantar-Nayestanaki, E. Epelbaum, J. G. Messchendorp, and A. Nogga, Rept. Prog. Phys.,75:016301(2012)

  • [30]

    H. W. Hammer, A. Nogga, and A. Schwenk, Rev. Mod. Phys.,85:197(2013)

  • [31]

    M. Cleven, F. K. Guo, C. Hanhart, and U.-G. Meißner, Eur. Phys. J. A,47:19(2011)

  • [32]

    F. Bernardoni et al (ALPHA Collaboration), Phys. Lett. B,740:278(2015)

  • [33]

    L. Ma, Q. Wang, and U. -G. Meißner, in preparation

  • [34]

    F. K. Guo, P. N. Shen, and H. C. Chiang, Phys. Lett. B,647:133(2007)

  • [35]

    E. Eichten, K. Gottfried, T. Kinoshita, K. D. Lane, and T. M. Yan, Phys. Rev. D,21:203(1980).

  • [36]

    E. Klempt, F. Bradamante, A. Martin, and J. M. Richard, Phys. Rept.,368:119(2002).

  • [37]

    E. Braaten and M. Lu, Phys. Rev. D,76:094028(2007)

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