\begin{document}$\Lambda_Q$\end{document} and \begin{document}$\Xi_Q$\end{document} with the spin-parity \begin{document}$J^P={1\over 2}^{+}$\end{document} by carrying out operator product expansion up to vacuum condensates of dimension \begin{document}$10$\end{document} in a consistent way. We observe for the first time that the higher dimensional vacuum condensates play an important role, and obtain very stable QCD sum rules with variations of the Borel parameters for the heavy baryon states. The predicted masses \begin{document}$6.08\pm0.09\,{\rm{GeV}}$\end{document}, \begin{document}$2.78\pm0.08\,{\rm{GeV}}$\end{document}, and \begin{document}$2.96\pm0.09\,{\rm{GeV}}$\end{document} for the first radial excited states \begin{document}$\Lambda_b(2{{S}})$\end{document}, \begin{document}$\Lambda_c(2{{S}})$\end{document}, and \begin{document}$\Xi_c(2{{S}})$\end{document}, respectively, are in excellent agreement with the experimental data and support assigning \begin{document}$\Lambda_b(6072)$\end{document}, \begin{document}$\Lambda_c(2765)$\end{document}, and \begin{document}$\Xi_c(2980/2970)$\end{document} to be the first radial excited states of \begin{document}$\Lambda_b$\end{document}, \begin{document}$\Lambda_c$\end{document}, and \begin{document}$\Xi_c$\end{document}, respectively. The predicted mass \begin{document}$6.24\pm0.07\,{\rm{GeV}}$\end{document} for \begin{document}$\Xi_b(2{{S}})$\end{document} can be confirmed using experimental data in the future."> Analysis of the 1<i>S</i> and 2<i>S</i> states of Λ<sub><i>Q</i></sub> and Ξ<sub><i>Q</i></sub> with QCD sum rules -
  • [1]

    A. M. Sirunyanet al., Phys. Lett. B803, 135345 (2020)

  • [2]

    R. Aaijet al., arXiv: 2002.05112

  • [3]

    A. J. Arifi, H. Nagahiro, A. Hosakaet al., Phys. Rev. D101, 111502 (2020)

  • [4]

    K. Azizi, Y. Sarac, and H. Sundu, arXiv: 2005.06772

  • [5]

    W. Liang and Q. F. Lu, arXiv: 2004.13568

  • [6]

    M. Artusoet al., Phys. Rev. Lett.86, 4479 (2001)

  • [7]

    A. Abdesselamet al., arXiv: 1908.0623

  • [8]

    B. Chen, K. W. Wei, and A. Zhang, Eur. Phys. J. A51, 82 (2015)

  • [9]

    D. Ebert, R. N. Faustov, and V. O. Galkin, Phys. Rev. D84, 014025 (2011)

  • [10]

    H. Y. Cheng, Front. Phys.(Beijing)10, 101406 (2015)

  • [11]

    R. Chistovet al., Phys. Rev. Lett.97, 162001 (2006)

  • [12]

    B. Aubertet al., Phys. Rev. D77, 012002 (2008)

  • [13]

    W. Roberts and M. Pervin, Int. J. Mod. Phys. A23, 2817 (2008)

  • [14]

    Z. G. Wang, Eur. Phys. J. C54, 231 (2008)

  • [15]

    M. Karliner, B. Keren-Zur, H. J. Lipkinet al., Annals Phys.324, 2 (2009)

  • [16]

    C. Garcia-Recio, J. Nieves, O. Romanetset al., Phys. Rev. D87, 034032 (2013)

  • [17]

    Y. Yamaguchi, S. Ohkoda, A. Hosakaet al., Phys. Rev. D91, 034034 (2015)

  • [18]

    K. W. Wei, B. Chen, N. Liuet al., Phys. Rev. D95, 116005 (2017)

  • [19]

    K. Thakkar, Z. Shah, A. K. Raiet al., Nucl. Phys. A965, 57 (2017)

  • [20]

    K. L. Wang, Q. F. Lu, and X. H. Zhong, Phys. Rev. D100, 114035 (2019)

  • [21]

    W. Liang, Q. F. Lu, and X. H. Zhong, Phys. Rev. D100, 054013 (2019)

  • [22]

    E. Bagan, M. Chabab, H. G. Doschet al., Phys. Lett. B287, 176 (1992)

  • [23]

    E. Bagan, M. Chabab, H. G. Doschet al., Phys. Lett. B278, 367 (1992)

  • [24]

    E. Bagan, M. Chabab, H. G. Doschet al., Phys. Lett. B301, 243 (1993)

  • [25]

    Y. Chung, H. G. Dosch, M. Kremeret al., Nucl. Phys. B197, 55 (1982)

  • [26]

    F. O. Duraes and M. Nielsen, Phys. Lett. B658, 40 (2007)

  • [27]

    M. Albuquerque, S. Narison, and M. Nielsen, Phys. Lett. B684, 236 (2010)

  • [28]

    J. R. Zhang and M. Q. Huang, Phys. Rev. D78, 094015 (2008)

  • [29]

    Z. G. Wang, Eur. Phys. J. C68, 479 (2010)

  • [30]

    Z. G. Wang, Phys. Lett. B685, 59 (2010)

  • [31]

    Z. G. Wang, Eur. Phys. J. C68, 459 (2010)

  • [32]

    Z. G. Wang, Eur. Phys. J. A47, 81 (2011)

  • [33]

    Q. Mao, H. X. Chen, W. Chenet al., Phys. Rev. D92, 114007 (2015)

  • [34]

    S. S. Agaev, K. Azizi, and H. Sundu, EPL118, 61001 (2017)

  • [35]

    Z. G. Wang, Eur. Phys. J. C77, 325 (2017)

  • [36]

    Q. Mao, H. X. Chen, A. Hosakaet al., Phys. Rev. D96, 074021 (2017)

  • [37]

    Z. G. Wang, Nucl. Phys. B926, 467 (2018)

  • [38]

    T. M. Aliev, S. Bilmis, and M. Savci, Mod. Phys. Lett. A35, 1950344 (2019)

  • [39]

    A. De Rujula, H. Georgi, and S. L. Glashow, Phys. Rev. D12, 147 (1975)

  • [40]

    T. DeGrand, R. L. Jaffe, K. Johnsonet al., Phys. Rev. D12, 2060 (1975)

  • [41]

    Z. G. Wang, Commun. Theor. Phys.59, 451 (2013)

  • [42]

    J. G. Korner, M. Kramer, and D. Pirjol, Prog. Part. Nucl. Phys.33, 787 (1994)

  • [43]

    D. Jido, N. Kodama, and M. Oka, Phys. Rev. D54, 4532 (1996)

  • [44]

    M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, Nucl. Phys. B147, 385 (1979)

  • [45]

    M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, Nucl. Phys. B147, 448 (1979)

  • [46]

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

  • [47]

    M. S. Maior de Sousa and R. Rodrigues da Silva, Braz. J. Phys.46, 730 (2016)

  • [48]

    Z. G. Wang, Commun. Theor. Phys.63, 325 (2015)

  • [49]

    Z. G. Wang, Chin. Phys. C44, 063105 (2020)

  • [50]

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

  • [51]

    P. A. Zylaet al., Prog. Theor. Exp. Phys.2020, 083C01 (2020)

  • [52]

    S. Narison and R. Tarrach, Phys. Lett. B125, 217 (1983)

  • [53]

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

  • [54]

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

  • [55]

    T. J. Moonet al., arXiv: 2007.14700

Baidu
map