\begin{document}$ \Lambda_c \bar {\Lambda}_c $\end{document} system, the particle mass, decay width, and all quantum numbers are consistent with experimental observations. We use the Bonn approximation to obtain the interaction potential of the one boson exchange model. Then, we extend the complex scaling method to calculate the bound and resonant states. The results indicate that the \begin{document}$ \Lambda_c \bar{\Lambda}_c $\end{document} system can form not only the bound state of the S wave but also the resonant state of the high angular momentum, and the \begin{document}$ ^3D_1 $\end{document} wave resonant state can explain the structure of Y(4630) very well."> Explanation of <i>Y</i>(4630) as a hadronic resonant state -
  • [1]

    N. A. Tornqvist, Nuovo Cim. A107, 2471 (1994)

  • [2]

    N. A. Tornqvist, Z. Phys. C61, 525 (1994)

  • [3]

    G. Pakhlovaet al. (Belle Collaboration), Phys. Rev. Lett.101, 172001 (2008)

  • [4]

    A. M. Badalian, B. L. G. Bakker, and I. V. Danilkin, Phys. Atom. Nucl.72, 638 (2009)

  • [5]

    J. Segovia, D. R. Entem, and F. Fernandez,Charm spectroscopy beyond the constituent quark model, arXiv:0810.2875[hep-ph]

  • [6]

    L. Maiani, F. Piccinini, A. D. Polosaet al., Phys. Rev. D89, 114010 (2014)

  • [7]

    G. Cotugno, R. Faccini, A. D. Polosaet al., Phys. Rev. Lett.104, 132005 (2010)

  • [8]

    S. J. Brodsky, D. S. Hwang, and R. F. Lebed, Phys. Rev. Lett.113, 112001 (2014)

  • [9]

    N. Lee, Z. G. Luo, X. L. Chenet al., Phys. Rev. D84, 014031 (2011)

  • [10]

    Y. D. Chen and C. F. Qiao, Phys. Rev. D85, 034034 (2012)

  • [11]

    E. van Beveren, X. Liu, R. Coimbraet al., Europhys. Lett.85, 61002 (2009)

  • [12]

    Y. A. Simonov, Phys. Rev. D85, 105025 (2012)

  • [13]

    X. Liu, H. W. Ke, X. Liuet al., Eur. Phys. J. C76, 549 (2016)

  • [14]

    X. Liu, H. W. Ke, X. Liuet al., Phys. Rev. D,93, 074013 (2016), arXiv:1602.00226[hep-ph

  • [15]

    X. D. Guo, D. Y. Chen, H. W. Keet al., Phys. Rev. D93, 054009 (2016)

  • [16]

    E. P. Wigner and L. Eisenbud, Phys. Rev.72, 29-41 (1947)

  • [17]

    G. M. Hale, R. E. Brown, and N. Jarmie, Phys. Rev. Lett.59, 763-766 (1987)

  • [18]

    J. Humblet, B. W. Filippone, and S. E. Koonin, Phys. Rev. C44, 2530-2535 (1991)

  • [19]

    J. R. Taylor,Scattering Theory: The Quantum Theory on Nonrelativistic Collisions, (New York: John Wiley & Sons, 1972)

  • [20]

    A. U. Hazi and H. S. Taylor, Phys. Rev. A1, 1109 (1970)

  • [21]

    V. I. Kukulin, V. M. Krasnoplsky, and J. Horacek,Theory of Resonances: Principles and Applications, (Kluwer, Dordrecht, The Netherlands, 1989).

  • [22]

    Y. K. Ho, Phys. Rep.99, 1 (1983)

  • [23]

    N. Moiseyev, Phys. Rep.302, 212 (1998)

  • [24]

    R. A. Weder, J. Math. Phys.15, 20 (1974)

  • [25]

    A. D. Alhaidari, Phys. Rev. A75, 042707 (2007)

  • [26]

    M. Bylicki, G. Pestka, and J. Karwowski, Phys. Rev. A77, 044501 (2008)

  • [27]

    J. Y. Guo, X. Z. Fang, P. Jiaoet al., Phys. Rev. C82, 034318 (2010)

  • [28]

    Q. Liu, J. Y. Guo, Z. M. Niuet al., Phys. Rev. C86, 054312 (2012)

  • [29]

    M. Shi, Q. Liu, Z. M. Niuet al., Phys. Rev. C90, 034319 (2014)

  • [30]

    Z. Yu, M. Song, J. Y. Guoet al., Phys. Rev. C104, 035201 (2021)

  • [31]

    G. J. Wang, Q. Meng, and M. Oka, Phys. Rev. D106(9), 096005 (2022), arXiv:2208.07292[hep-ph

  • [32]

    J. B. Cheng, Z. Y. Lin, and S. L. Zhu, Phys. Rev. D106(1), 016012 (2022), arXiv:2205.13354[hep-ph

  • [33]

    J. B. Cheng, D. x. Zheng, Z. Y. Linet al., arXiv:2211.05050[hep-ph]

  • [34]

    R. Chen, A. Hosaka, and X. Liu, Phys. Rev. D96(11), 114030 (2017)

  • [35]

    W. Meguro, Y. R. Liu, and M. Oka, Phys. Lett. B704, 547 (2011)

  • [36]

    N. Li and S. L. Zhu, Phys. Rev. D86, 014020 (2012)

  • [37]

    D. O. Riska and G. E. Brown, Nucl. Phys. A653, 251 (1999)

  • [38]

    T. A. Rijken, V. G. J. Stoks and Y. Yamamoto, Phys. Rev. C59, 21 (1999)

  • [39]

    D. O. Riska and G. E. Brown, Nucl. Phys. A679, 577 (2001)

  • [40]

    K. Chen, R. Chen, Z. F. Sunet al., Phys. Rev. D100, 074006 (2019)

  • [41]

    L. Zhao, L. Ma, and S. L. Zhu, Phys. Rev. D89, 094026 (2014)

  • [42]

    J. Aguilar and J. M. Combes, Commun. Math. Phys.22, 269 (1971)

  • [43]

    C. Patrignaniet al. (Particle Data Group), Chin. Phys. C40, 10 (2016)

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