\begin{document}$ q\bar q $\end{document} states of the same quantum numbers. The lattice estimate of the masses of pure \begin{document}$ 0^{++} $\end{document} glueballs ranges from 1 to 2 GeV, which is the region of the \begin{document}$ f_0 $\end{document} family. Thus many authors suggest that the \begin{document}$ f_0 $\end{document} mesonic series is an ideal place to study possible mixtures of glueballs and \begin{document}$ q\bar q $\end{document}. In this paper, following the strategy proposed by Close, Farrar and Li, we try to determine the fraction of glueball components in \begin{document}$ f_0 $\end{document} mesons using the measured mass spectra and the branching ratios of \begin{document}$ J/\psi $\end{document} radiative decays into \begin{document}$ f_0 $\end{document} mesons. Since the pioneering papers by Close et al., more than 20 years have elapsed and more accurate measurements have been done by several experimental collaborations, so it is time to revisit this interesting topic using new data. We suppose \begin{document}$ f_0(500) $\end{document} and \begin{document}$ f_0(980) $\end{document} to be pure quark states, while for \begin{document}$ f_0(1370) $\end{document}, \begin{document}$ f_0(1500) $\end{document} and \begin{document}$ f_0(1710) $\end{document}, to fit both the experimental data of \begin{document}$ J/\psi $\end{document} radiative decay and their mass spectra, glueball components are needed. Moreover, the mass of the pure \begin{document}$ 0^{++} $\end{document} glueball is phenomenologically determined."> Revisiting the determining fraction of glueball component in <i>f</i><sub>0</sub> mesons via radiative decays of <i>J</i>/<i>ψ</i> -
  • [1]

    C. J. Morningstar and M. J. Peardon, Phys. Rev. D60, 034509 (1999)

  • [2]

    Y. Chenet al., Phys. Rev. D73, 014516 (2006)

  • [3]

    G. S. Baliet al. (UKQCD Collaboration), Phys. Lett. B309, 378 (1993)

  • [4]

    S. Narison, Nucl. Phys. B509, 312 (1998)

  • [5]

    T. Huang, H. Y. Jin, and A. L. Zhang, Phys. Rev. D59, 034026 (1999)

  • [6]

    S. Wen, Z. Zhang, and J. Liu, Phys. Rev. D82, 016003 (2010)

  • [7]

    F. E. Close, G. R. Farrar, and Z. p. Li, Phys. Rev. D55, 5749 (1997)

  • [8]

    C. Amsler and F. E. Close, Phys. Rev. D53, 295 (1996)

  • [9]

    C. Amsler and F. E. Close, Phys. Lett. B353, 385 (1995)

  • [10]

    F. E. Close and A. Kirk, Phys. Lett. B483, 345 (2000)

  • [11]

    P. Minkowski and W. Ochs, Nucl. Phys. Proc. Suppl.121, 123 (2003)

  • [12]

    D. Harnett and T. G. Steele, Nucl. Phys. A695, 205 (2001)

  • [13]

    H. Forkel, Phys. Rev. D71, 054008 (2005)

  • [14]

    F. E. Close and Q. Zhao, Phys. Rev. D71, 094022 (2005)

  • [15]

    F. Giacosa, T. Gutsche, V. E. Lyubovitskijet al., Phys. Rev. D72, 094006 (2005)

  • [16]

    S. Janowski, D. Parganlija, F. Giacosaet al., Phys. Rev. D84, 054007 (2011)

  • [17]

    H. Y. Cheng, C. K. Chua, and K. F. Liu, Phys. Rev. D92(11), 094006 (2015)

  • [18]

    J. M. Frère and J. Heeck, Phys. Rev. D92(11), 114035 (2015)

  • [19]

    D. M. Li, H. Yu, and Q. X. Shen, Eur. Phys. J. C19, 529 (2001)

  • [20]

    X. G. He, X. Q. Li, X. Liuet al., Phys. Rev. D73, 051502 (2006)

  • [21]

    X. G. He, X. Q. Li, X. Liuet al., Phys. Rev. D73, 114026 (2006)

  • [22]

    J. B. Liu and M. Z. Yang, JHEP1407, 106 (2014)

  • [23]

    S. Godfrey, Phys. Rev. D70, 054017 (2004)

  • [24]

    P. Colangelo, F. De Fazio, M. Ladisaet al., Eur. Phys. J. C8, 81 (1999)

  • [25]

    P. Cea, P. Colangelo, L. Cosmaiet al., Phys. Lett. B206, 691 (1988)

  • [26]

    P. Cea, P. Colangelo, G. Nardulliet al., Phys. Rev. D26, 1157 (1982)

  • [27]

    P. Cea, G. Nardulli, and G. Paiano, Phys. Rev. D28, 2291 (1983)

  • [28]

    S. Godfrey and N. Isgur, Phys. Rev. D32, 189 (1985)

  • [29]

    E. Eichten, K. Gottfried, T. Kinoshitaet al., Phys. Rev. D17, 3090 (1978), Erratum: [Phys. Rev. D21, 313 (1980)]

  • [30]

    E. Eichten, K. Gottfried, T. Kinoshitaet al., Phys. Rev. D21, 203 (1980)

  • [31]

    M.Tanabashiet al. (Particle Data Group), Phys. Rev. D98, 030001 (2018)

  • [32]

    B. El-Bennich, O. Leitner, J.-P. Dedonderet al., Phys. Rev. D79, 076004 (2009)

  • [33]

    H. Y. Cheng, Phys. Rev. D67, 034024 (2003)

  • [34]

    H. Y. Cheng, C. K. Chua, and K. C. Yang, Phys. Rev. D73, 014017 (2006)

  • [35]

    D. Weingarten, Nucl. Phys. Proc. Suppl.53, 232 (1997)

  • [36]

    A. Vaccarino and D. Weingarten, Phys. Rev. D60, 114501 (1999)

  • [37]

    M. Loan, X. Q. Luo, and Z. H. Luo, Int. J. Mod. Phys. A21, 2905 (2006)

  • [38]

    W. Lee and D. Weingarten, Phys. Rev. D61, 014015 (1999)

  • [39]

    M. B. Cakir and G. R. Farrar, Phys. Rev. D50, 3268 (1994)

  • [40]

    D. V. Bugg, B. S. Zou, and A. V. Sarantsev, Nucl. Phys. B471, 59 (1996)

  • [41]

    R. S. Longacreet al., Phys. Lett. B177, 223 (1986)

  • [42]

    M. Albaladejo and J. A. Oller, Phys. Rev. Lett.101, 252002 (2008)

  • [43]

    https://pdglive.lbl.gov/Viewer.action

  • [44]

    H. Y. Cheng, C. K. Chua, and K. F. Liu, Phys. Rev. D74, 094005 (2006)

  • [45]

    J. Sexton, A. Vaccarino, and D. Weingarten, Phys. Rev. Lett.75, 4563 (1995)

  • [46]

    L. Burakovsky and P. R. Page, Phys. Rev. D59, 014022 (1999) Erratum: [Phys. Rev. D59, 079902 (1999)]

  • [47]

    V. Ahrens, A. Ferroglia, M. Neubertet al., Phys. Lett. B703, 135 (2011)

  • [48]

    A. H. Fariborz, Int. J. Mod. Phys. A19, 2095 (2004)

  • [49]

    B. A. Li, Phys. Rev. D88(9), 094016 (2013)

  • [50]

    B. A. Li, Phys. Rev. D74, 054017 (2006)

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