\begin{document}$ B_0\to J/\psi K^0f_0 \to J/\psi K^0\pi^+\pi^- $\end{document} and \begin{document}$ B_0\to J/\psi K^0a_0\to J/\psi K^0 \pi^0\eta $\end{document} is probed. In these processes, the triangle singularity appears from the decay of \begin{document}$ B^0 $\end{document} into \begin{document}$ J/\psi\phi K^0 $\end{document}, and then, ϕ decays into \begin{document}$ K^0\bar{K^0} $\end{document} and \begin{document}$ K^0\bar{K^0} $\end{document} merged into \begin{document}$ f_0 $\end{document} or \begin{document}$ a_0 $\end{document}, which finally decay into \begin{document}$ \pi^+\pi^- $\end{document} and \begin{document}$ \pi^0\eta $\end{document}, respectively. We find that this mechanism leads to a triangle singularity around \begin{document}$ M_{\rm inv}(K^0f_0(a_0))\approx1520\ {\rm MeV} $\end{document} and gives sizable branching fractions \begin{document}$ {\rm{Br}}(B_0\to J/\psi K^0f_0\to J/\psi K^0\pi^+\pi^-)=7.67\times10^{-7} $\end{document} and \begin{document}${\rm{Br}}(B_0\to J/\psi K^0a_0 \to $\end{document}\begin{document}$ J/\psi K^0\pi^0\eta)= 1.42\times10^{-7}$\end{document}. This investigation can help us obtain the information of the scalar meson \begin{document}$ f_0(980) $\end{document} or \begin{document}$ a_0(980) $\end{document}."> Triangle mechanism in the decay process <inline-formula><tex-math id="M1">\begin{document}$ {\boldsymbol B_{\bf 0}{\bf \to}{\boldsymbol J}{\bf /}\boldsymbol\psi {\boldsymbol K}^{\bf 0} {\boldsymbol f}_{\bf 0}{\bf (980)}({\boldsymbol a}_{\bf 0}{\bf(980))} }$\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/2a3c76ae-27aa-41a4-9d5f-54e1f02a4dd3/CPC-2023-0101_M1.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/2a3c76ae-27aa-41a4-9d5f-54e1f02a4dd3/CPC-2023-0101_M1.png"/></alternatives></inline-formula> -
  • [1]

    C. Patrignaniet al. (Particle Data Group), Chin. Phys. C40, 100001 (2016)

  • [2]

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

  • [3]

    S. Capstick and N. Isgur, Phys. Rev. D34, 2809 (1986)

  • [4]

    J. Vijande, F. Fernandez, and A. Valcarce, J. Phys. G31, 481 (2005), arXiv:hep-ph/0411299

  • [5]

    M. Gell-Mann, Phys. Lett.8, 214 (1964)

  • [6]

    E. Klempt and A. Zaitsev, Phys. Rept.454, 1 (2007), arXiv:0708.4016[hep-ph

  • [7]

    V. Crede and C. A. Meyer, Prog. Part. Nucl. Phys.63, 74 (2009), arXiv:0812.0600[hep-ex

  • [8]

    N. Brambillaet al., Eur. Phys. J. C74, 2981 (2014), arXiv:1404.3723[hep-ph

  • [9]

    H.-X. Chen, W. Chen, X. Liuet al., Phys. Rept.639, 1 (2016), arXiv:1601.02092[hep-ph

  • [10]

    F.-K. Guo, C. Hanhart, U.-G. Meißneret al.,Rev. Mod. Phys.90, 015004 (2018), [Erratum:Rev. Mod. Phys.94, 029901 (2022)], arXiv:1705.00141[hep-ph]

  • [11]

    R. Karplus, C. M. Sommerfield, and E. H. Wichmann, Phys. Rev.111, 1187 (1958)

  • [12]

    L. D. Landau, Nucl. Phys.13, 181 (1959)

  • [13]

    R. F. Peierls, Phys. Rev. Lett.6, 641 (1961)

  • [14]

    I. J. R. Aitchison, Phys. Rev.133, B1257 (1964)

  • [15]

    J. B. Bronzan, Phys. Rev.134, B687 (1964)

  • [16]

    C. Schmid, Phys. Rev.154, 1363 (1967)

  • [17]

    S. Coleman and R. E. Norton, Nuovo Cim.38, 438 (1965)

  • [18]

    M. Bayar, F. Aceti, F.-K. Guoet al., Phys. Rev. D94, 074039 (2016), arXiv:1609.04133[hep-ph

  • [19]

    J.-J. Wu, Q. Zhao, and B. S. Zou, Phys. Rev. D75, 114012 (2007), arXiv:0704.3652[hep-ph

  • [20]

    C. Hanhart, B. Kubis, and J. R. Pelaez, Phys. Rev. D76, 074028 (2007), arXiv:0707.0262[hep-ph

  • [21]

    J.-J. Wu, X.-H. Liu, Q. Zhaoet al., Phys. Rev. Lett.108, 081803 (2012), arXiv:1108.3772[hep-ph

  • [22]

    F. Aceti, W. H. Liang, E. Osetet al., Phys. Rev. D86, 114007 (2012), arXiv:1209.6507[hep-ph

  • [23]

    M. Ablikimet al. (BESⅢ), Phys. Rev. Lett.108, 182001 (2012), arXiv:1201.2737[hep-ex

  • [24]

    J. A. Oller and E. Oset,Nucl. Phys. A620, 438 (1997), [Erratum:Nucl. Phys. A652, 407–409 (1999)], arXiv:hepph/9702314

  • [25]

    N. Kaiser, Eur. Phys. J. A3, 307 (1998)

  • [26]

    M. P. Locher, V. E. Markushin, and H. Q. Zheng, Eur. Phys. J. C4, 317 (1998), arXiv:hep-ph/9705230

  • [27]

    J. Nieves and E. Ruiz Arriola, Nucl. Phys. A679, 57 (2000), arXiv:hep-ph/9907469

  • [28]

    L. R. Dai, Q. X. Yu, and E. Oset, Phys. Rev. D99, 016021 (2019), arXiv:1809.11007[hep-ph

  • [29]

    W.-H. Liang, S. Sakai, J.-J. Xieet al., Chin. Phys. C42, 044101 (2018), arXiv:1711.04603[hep-ph

  • [30]

    S. Sakai, E. Oset, and W. H. Liang, Phys. Rev. D96, 074025 (2017), arXiv:1707.02236[hep-ph

  • [31]

    R. Pavao, S. Sakai, and E. Oset, Eur. Phys. J. C77, 599 (2017), arXiv:1706.08723[hep-ph

  • [32]

    M. Mikhasenko, B. Ketzer, and A. Sarantsev, Phys. Rev. D91, 094015 (2015), arXiv:1501.07023[hep-ph

  • [33]

    F. Aceti, L. R. Dai, and E. Oset, Phys. Rev. D94, 096015 (2016), arXiv:1606.06893[hep-ph

  • [34]

    W.-H. Liang, H.-X. Chen, E. Osetet al., Eur. Phys. J. C79, 411 (2019), arXiv:1903.01252[hep-ph

  • [35]

    W.-H. Liang, S. Sakai, J.-J. Xieet al., EPJ Web Conf.199, 04008 (2019)

  • [36]

    E. Wang, J.-J. Xie, W.-H. Lianget al., Phys. Rev. C95, 015205 (2017), arXiv:1610.07117[hep-ph

  • [37]

    Q. Huang, C.-W. Shen, and J.-J. Wu, Phys. Rev. D103, 016014 (2021), arXiv:2011.14590[hep-ph

  • [38]

    P. A. Zylaet al. (Particle Data Group), PTEP083, 083C01 (2020)

  • [39]

    M. Bando, T. Kugo, S. Ueharaet al., Phys. Rev. Lett.54, 1215 (1985)

  • [40]

    M. Bando, T. Kugo, and K. Yamawaki, Phys. Rept.164, 217 (1988)

  • [41]

    U. G. Meissner, Phys. Rept.161, 213 (1988)

  • [42]

    H. Nagahiro, L. Roca, A. Hosakaet al., Phys. Rev. D79, 014015 (2009), arXiv:0809.0943[hep-ph

  • [43]

    J.-J. Xie, L.-R. Dai, and E. Oset, Phys. Lett. B742, 363 (2015), arXiv:1409.0401[hep-ph

  • [44]

    W. H. Liang and E. Oset, Phys. Lett. B737, 70 (2014), arXiv:1406.7228[hep-ph

  • [45]

    S. Sakai, E. Oset, and A. Ramos, Eur. Phys. J. A54, 10 (2018), arXiv:1705.03694[hep-ph

  • [46]

    L. R. Dai, R. Pavao, S. Sakaiet al., Phys. Rev. D97, 116004 (2018), arXiv:1804.01136[hep-ph

Baidu
map