\begin{document}$Y(4626)$\end{document} was observed in the portal of \begin{document}$D^+_sD_{s1}(2536)^-$\end{document}. This intrigues an active discussion on the structure of the resonance because it has obvious significance for gaining a better understanding on its hadronic structure that contains suitable inner constituents. Therefore, this observation concerns the general theoretical framework about possible structures of exotic states. Since the mass of \begin{document}$Y(4626)$\end{document} is slightly above the production threshold of \begin{document}$ D^+_s D_{s1}(2536)^- ,$\end{document} whereas it is below that of \begin{document}$D^ * _s\bar D_{s1}(2536)$\end{document} with the same quark contents as that of \begin{document}$D^+_s D_{s1}(2536)^-$\end{document}, it is natural to conjecture that \begin{document}$Y(4626)$\end{document} is a molecular state of \begin{document}$D^{ * }_s\bar D_{s1}(2536)$\end{document}, as suggested in the literature. Confirming or negating this allegation would shed light on the goal we are concerned with. We calculate the mass spectrum of a system composed of a vector meson and an axial vector i.e., \begin{document}$D^ * _s\bar D_{s1}(2536)$\end{document} within the framework of the Bethe-Salpeter equations. Our numerical results show that the dimensionless parameter \begin{document}$\lambda$\end{document} in the form factor, which is phenomenologically introduced to every vertex, is far beyond the reasonable range for inducing even a very small binding energy \begin{document}$\Delta E$\end{document}. It implies that the \begin{document}$D^ * _s\bar D_{s1}(2536)$\end{document} system cannot exist in the nature as a hadronic molecule in this model. Therefore, we may not be able to assume the resonance \begin{document}$Y(4626)$\end{document} to be a bound state of \begin{document}$ D^ * _s\bar D_{s1}(2536) ,$\end{document} and instead, it could be attributed to something else, such as a tetraquark."> Study on the possible molecular state composed of <inline-formula><tex-math id="M1-105">\begin{document}$ {{D}^ * _s} {\bar{{D}}_{{s1}}}$\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/cpc/article/app/id/ebe870c5-1290-4636-a0c0-d2593f66125c/CPC-2020-0200_M1-105.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/cpc/article/app/id/ebe870c5-1290-4636-a0c0-d2593f66125c/CPC-2020-0200_M1-105.png"/></alternatives></inline-formula> within the Bethe-Salpeter framework -
  • [1]

    S. Jiaet al. (Belle Collaboration), Phys. Rev. D,100(11): 111103 (2019), arXiv:1911.00671[hep-ex

  • [2]

    G. Pakhlovaet al. (Belle Collaboration), Phys. Rev. Lett.,101: 172001 (2008), arXiv:0807.4458[hep-ex

  • [3]

    Y. Xie and Z. Liu, arXiv: 2001.09620[hep-ex]

  • [4]

    J. Z. Wang, R. Q. Qian, X. Liuet al., Phys. Rev. D,101(3): 034001 (2020), arXiv:2001.00175[hep-ph

  • [5]

    X. L. Wanget al. (Belle Collaboration), Phys. Rev. Lett.,99: 142002 (2007), arXiv:0707.3699[hep-ex

  • [6]

    E. van Beveren and G. Rupp, Chin. Phys. C,35: 319-324 (2011), arXiv:1004.4368[hep-ph

  • [7]

    E. van Beveren, X. Liu, R. Coimbraet al., EPL,85(6): 61002 (2009), arXiv:0809.1151[hep-ph

  • [8]

    J. He, Y. Liu, J. T. Zhuet al., Eur. Phys. J. C,80(3): 246 (2020), arXiv:1912.08420[hep-ph

  • [9]

    C. Deng, H. Chen, and J. Ping, arXiv: 1912.07174[hep-ph]

  • [10]

    Y. Tan and J. Ping, arXiv: 1911.02461[hep-ph]

  • [11]

    S. K. Choiet al. (Belle Collaboration), Phys. Rev. Lett.,91: 262001 (2003), arXiv:hepex/0309032

  • [12]

    K. Abeet al. (Belle Collaboration), Phys. Rev. Lett.,98: 082001 (2007), arXiv:hep-ex/0507019

  • [13]

    S. K. Choiet al. (Belle Collaboration), Phys. Rev. Lett.,94: 182002 (2005)

  • [14]

    S. K. Choiet al. (BELLE Collaboration), Phys. Rev. Lett.,100: 142001 (2008), arXiv:0708.1790[hep-ex

  • [15]

    B. Aubertet al. (BaBar Collaboration), Phys. Rev. Lett.,95: 142001 (2005), arXiv:hep-ex/0506081

  • [16]

    M. Ablikimet al. (BESⅢ Collaboration), Phys. Rev. Lett.,112: 132001 (2014), arXiv:1308.2760[hep-ex

  • [17]

    M. Ablikimet al. (BESⅢ Collaboration), Phys. Rev. Lett.,111: 242001 (2013), arXiv:1309.1896[hep-ex

  • [18]

    M. Ablikimet al. (BESⅢ Collaboration), Phys. Rev. Lett.,110: 252001 (2013), arXiv:1303.5949[hep-ex

  • [19]

    Z. Q. Liuet al. (Belle Collaboration), Phys. Rev. Lett.,110: 252002 (2013), arXiv:1304.0121[hep-ex

  • [20]

    I. Adachi (Belle Collaboration), arXiv: 1105.4583[hep-ex]

  • [21]

    H. X. Chen, W. Chen, X. Liuet al., Rept. Prog. Phys.,80(7): 076201 (2017), arXiv:1609.08928[hep-ph

  • [22]

    F. K. Guo, X. H. Liu, and S. Sakai, doi:10.1016/j.ppnp.2020.103757 arXiv:1912.07030[hep-ph]

  • [23]

    E. E. Salpeter, Phys. Rev.,87: 328 (1952)

  • [24]

    C. H. Chang, J. K. Chen, X. Q. Liet al., Commun. Theor. Phys.,43: 113 (2005), arXiv:hep-ph/0406050

  • [25]

    C. H. Chang, C. S. Kim, and G. L. Wang, Phys. Lett. B,623: 218 (2005), arXiv:hep-ph/0505205

  • [26]

    Y. M. Yu, H. W. Ke, Y. B. Dinget al., Commun. Theor. Phys.,46: 1031 (2006), arXiv:hep-ph/0602077

  • [27]

    X. H. Guo, A. W. Thomas, and A. G. Williams, Phys. Rev. D,59: 116007 (1999), arXiv:hep-ph/9805331

  • [28]

    X. H. Guo and X. H. Wu, Phys. Rev. D,76: 056004 (2007), arXiv:0704.3105[hep-ph

  • [29]

    G. Q. Feng, Z. X. Xie, and X. H. Guo, Phys. Rev. D,83: 016003 (2011)

  • [30]

    H. W. Ke and X. Q. Li, Eur. Phys. J. C,78(5): 364 (2018), arXiv:1801.00675[hep-ph

  • [31]

    H. W. Ke, X. Q. Li, Y. L. Shiet al., JHEP,1204: 056 (2012), arXiv:1202.2178[hep-ph

  • [32]

    M.-H. Weng, X.-H. Guo, and A. W. Thomas, Phys. Rev. D,83: 056006 (2011), arXiv:1012.0082[hep-ph

  • [33]

    Q. Li, C. H. Chang, S. X. Qinet al., arXiv: 1903.02282[hep-ph]

  • [34]

    Z. Y. Wang, J. J. Qi, X. H. Guoet al., arXiv: 1901.04474[hep-ph]

  • [35]

    H. W. Ke, M. Li, X. H. Liuet al., Phys. Rev. D,101(1): 014024 (2020), arXiv:1909.12509[hep-ph

  • [36]

    G. J. Ding, Phys. Rev. D,79: 014001 (2009), arXiv:0809.4818[hep-ph

  • [37]

    P. Colangelo, F. De Fazio, and R. Ferrandes, Phys. Lett. B,634: 235 (2006)

  • [38]

    P. Colangelo, F. De Fazio, F. Giannuzziet al., Phys. Rev. D,86: 054024 (2012), arXiv:1207.6940[hep-ph

  • [39]

    R. Casalbuoni, A. Deandrea, N. Di Bartolomeoet al., Phys. Rept.,281: 145-238 (1997), arXiv:hep-ph/9605342[hepph

  • [40]

    R. Casalbuoni, A. Deandrea, N. Di Bartolomeoet al., Phys. Lett. B,292: 371-376 (1992), arXiv:hep-ph/9209248[hepph

  • [41]

    R. Casalbuoni, A. Deandrea, N. Di Bartolomeoet al., Phys. Lett. B,299: 139-150 (1993), arXiv:hep-ph/9211248[hepph

  • [42]

    C. Meng and K. T. Chao, Phys. Rev. D,77: 074003 (2008), arXiv:0712.3595[hep-ph

  • [43]

    H. Y. Cheng, C. K. Chua, and A. Soni, Phys. Rev. D,71: 014030 (2005), arXiv:hep-ph/0409317

  • [44]

    X. Liu, B. Zhang, and S. L. Zhu, Phys. Lett. B,645: 185 (2007), arXiv:hep-ph/0610278

  • [45]

    H. W. Ke, X. Q. Li, and X. Liu, Phys. Rev. D,82: 054030 (2010), arXiv:1006.1437[hep-ph

  • [46]

    Y. B. Dai, C. S. Huang, and H. Y. Jin, Phys. Rev. D,51: 2347-2352 (1995)

  • [47]

    G. Q. Feng and X. H. Guo, Phys. Rev. D,86: 036004 (2012)

  • [48]

    S. U. Chung, Phys. Rev. D,48: 1225 (1993) Erratum: [Phys. Rev. D,56: 4419 (1997)] doi:10.1103/PhysRevD.56.4419,10.1103/PhysRevD.48.1225

  • [49]

    M. Tanabashiet al. (Particle Data Group), Phys. Rev. D,98(3): 030001 (2018) doi: 10.1103/PhysRevD.98.030001

  • [50]

    X. K. Guo, Z. H. Guo, J. A. Olleret al., JHEP,06: 175 (2015), arXiv:arXiv: 1503.02248[hep-ph

  • [51]

    A. F. Falk and M. E. Luke, Phys. Lett. B,292: 119 (1992), arXiv:hep-ph/9206241

  • [52]

    W. A. Bardeen, E. J. Eichten, and C. T. Hill, Phys. Rev. D,68: 054024 (2003), arXiv:hep-ph/0305049

  • [53]

    X. Liu, Y. R. Liu, W. Z. Denget al., Phys. Rev. D,77: 094015 (2008), arXiv:0803.1295[hep-ph

  • [54]

    X. K. Dong, Y. H. Lin, and B. S. Zou, Phys. Rev. D,101(7): 076003 (2020), arXiv:1910.14455[hep-ph

Baidu
map