\begin{document}$P_c(4312)$\end{document} to be the \begin{document}$\bar{D}\Sigma_c$\end{document} pentaquark molecular state with the spin-parity \begin{document}$J^P={\frac{1}{2}}^-$\end{document} , and discuss the factorizable and non-factorizable contributions in the two-point QCD sum rules for the \begin{document}$\bar{D}\Sigma_c$\end{document} molecular state in detail to prove the reliability of the single pole approximation in the hadronic spectral density. We study its two-body strong decays with the QCD sum rules, and special attention is paid to match the hadron side with the QCD side of the correlation functions to obtain solid duality. We obtain the partial decay widths \begin{document}$\Gamma\left(P_c(4312)\to \eta_c p\right)=0.255\,\,{\rm{MeV}}$\end{document} and \begin{document}$\Gamma\left(P_c(4312)\to J/\psi p\right)=9.296^{+19.542}_{-9.296}\,\,{\rm{MeV}}$\end{document} , which are compatible with the experimental value of the total width, and support assigning \begin{document}$P_c(4312)$\end{document} to be the \begin{document}$\bar{D}\Sigma_c$\end{document} pentaquark molecular state."> Analysis of the strong decays of <i>P<sub>c</sub></i>(4312) as a pentaquark molecular state with QCD sum rules -
  • [1]

    R. Aaijet al., Phys. Rev. Lett.,115: 072001 (2015)

  • [2]

    R. Aaijet al., Phys. Rev. Lett.,122: 222001 (2019)

  • [3]

    M. Z. Liu, Y. W. Pan, F. Z. Penget al., Phys. Rev. Lett.,122: 242001 (2019)

  • [4]

    J. He, Eur. Phys. J. C,79: 393 (2019)

  • [5]

    Z. H. Guo and J. A. Oller, Phys. Lett. B,793: 144 (2019)

  • [6]

    F. K. Guo, H. J. Jing, U. G. Meissneret al., Phys. Rev. D,99: 091501 (2019)

  • [7]

    R. Chen, Z. F. Sun, X. Liuet al., Phys. Rev. D,100: 011502 (2019)

  • [8]

    H. X. Chen, W. Chen, and S. L. Zhu, Phys. Rev. D,100: 051501 (2019)

  • [9]

    C. Fernandez-Ramirez, A. Pilloni, M. Albaladejo, Phys. Rev. Lett.,123: 092001 (2019)

  • [10]

    H. Mutuk, Chin. Phys. C,43: 093103 (2019)

  • [11]

    J. R. Zhang, Eur. Phys. J. C,79: 1001 (2019)

  • [12]

    C. J. Xiao, Y. Huang, Y. B. Donget al., Phys. Rev. D,100: 014022 (2019)

  • [13]

    F. L. Wang, R. Chen, Z. W. Liuet al., Phys. Rev. C,101: 025201 (2020)

  • [14]

    L. Meng, B. Wang, G. J. Wanget al., Phys. Rev. D,100: (2019)

  • [15]

    X. Y. Wang, X. R. Chen, and J. He, Phys. Rev. D,99: 114007 (2019)

  • [16]

    Q. Wu and D. Y. Chen, Phys. Rev. D,100: 114002 (2019)

  • [17]

    S. Sakai, H. J. Jing, and F. K. Guo, Phys. Rev. D,100: 074007 (2019)

  • [18]

    Z. G. Wang, Int. J. Mod. Phys. A,34: 1950097 (2019)

  • [19]

    A. Ali and A. Y. Parkhomenko, Phys. Lett. B,793: 365 (2019)

  • [20]

    X. Z. Weng, X. L. Chen, W. Z. Denget al., Phys. Rev. D,100: 016014 (2019)

  • [21]

    R. Zhu, X. Liu, H. Huanget al., Phys. Lett. B,797: 134869 (2019)

  • [22]

    J. B. Cheng and Y. R. Liu, Phys. Rev. D,100: 054002 (2019)

  • [23]

    Z. G. Wang, Int. J. Mod. Phys. A,35: 2050003 (2020)

  • [24]

    M. I. Eides, V. Y. Petrov, and M. V. Polyakov, arXiv: 1904.11616

  • [25]

    Z. G. Wang and T. Huang, Eur. Phys. J. C,76: 43 (2016)

  • [26]

    Z. G. Wang, Eur. Phys. J. C,76: 142 (2016)

  • [27]

    Z. Y. Di and Z. G. Wang, in preparation

  • [28]

    Z. G. Wang, Eur. Phys. J. C,79: 184 (2019)

  • [29]

    Z. G. Wang and X. H. Zhang, Commun. Theor. Phys.,54: 323 (2010)

  • [30]

    R. M. Albuquerque, M. Nielsen, and R. Rodrigues da Silva, Phys. Rev. D,84: 116004 (2011)

  • [31]

    Z. G. Wang and J. X. Zhang, Eur. Phys. J. C,78: 14 (2018)

  • [32]

    Z. G. Wang and Z. Y. Di, Eur. Phys. J. C,79: 72 (2019)

  • [33]

    Z. G. Wang, Acta Phys. Polon. B,51: 435 (2020)

  • [34]

    Z. G. Wang, Int. J. Mod. Phys. A,34: 1950110 (2019)

  • [35]

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

  • [36]

    P. Pascual and R. Tarrach, “QCD: Renormalization for the practitioner”, Springer Berlin Heidelberg (1984)

  • [37]

    Z. G. Wang and T. Huang, Phys. Rev. D,89: 054019 (2014)

  • [38]

    W. Lucha, D. Melikhov, and H. Sazdjian, Phys. Rev. D,100: 014010 (2019)

  • [39]

    Y. Kondo, O. Morimatsu, and T. Nishikawa, Phys. Lett. B,611: 93 (2005)

  • [40]

    M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, Nucl. Phys. B,147: 385 (1979)

  • [41]

    M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, Nucl. Phys. B,147: 448 (1979)

  • [42]

    M. Tanabashiet al., Phys. Rev. D,98: 030001 (2018)

  • [43]

    D. Becirevic, G. Duplancic, B. Klajnet al., Nucl. Phys. B,883: 306 (2014)

  • [44]

    B. L. Ioffe, Prog. Part. Nucl. Phys.,56: 232 (2006)

  • [45]

    P. Colangelo and A. Khodjamirian, hep-ph/0010175

  • [46]

    S. Narison and R. Tarrach, Phys. Lett. B,125: 217 (1983)

  • [47]

    Z. G. Wang, Chin. Phys. C,41: 083103 (2017)

  • [48]

    Y. H. Lin and B. S. Zou, Phys. Rev. D,100: 056005 (2019)

Baidu
map