Insights into the nature of X(3872) through B meson decays |
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| Authors: | Zhi-Qing Zhang Zhi-Lin Guan Yan-Chao Zhao Zi-Yu Zhang Zhi-Jie Sun Na Wang Xiao-Dong Ren |
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| Affiliation: | Department of Physics, Henan University of Technology, Zhengzhou, Henan 450052, China |
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| Abstract: | We study the \begin{document}$ B_{c,u,d}\to X(3872)P $\end{document}![]() ![]() decays in the perturbative QCD (PQCD) approach, involving the puzzling resonance \begin{document}$ X(3872) $\end{document}![]() ![]() , where P represents a light pseudoscalar meson (K or π). Assuming \begin{document}$ X(3872) $\end{document}![]() ![]() to be a \begin{document}$ 1^{++} $\end{document}![]() ![]() charmonium state, we obtain the following results. (a) The branching ratios of the \begin{document}$ B^+_c\to X(3872)\pi^+ $\end{document}![]() ![]() and \begin{document}$ B^+_c\to X(3872) K^+ $\end{document}![]() ![]() decays are consistent with the results predicted by the covariant light-front approach within errors; however, they are larger than those given by the generalized factorization approach. (b) The branching ratio of the \begin{document}$ B^+\to X(3872)K^+ $\end{document}![]() ![]() decay is predicted as \begin{document}$ (3.8^{+1.1}_{-1.0})\times10^{-4} $\end{document}![]() ![]() , which is smaller than the previous PQCD calculation result but still slightly larger than the upper limits set by Belle and BaBar. Hence, we suggest that the\begin{document}$ B^{0,+}\to X(3872)K^{0,+} $\end{document}![]() ![]() decays should be precisely measured by the LHCb and Belle II experiments to help probe the inner structure of \begin{document}$ X(3872) $\end{document}![]() ![]() . (c) Compared with the \begin{document}$ B_{u,d}\to X(3872)K $\end{document}![]() ![]() decays, the \begin{document}$ B_{u,d}\to X(3872)\pi $\end{document}![]() ![]() decays have significantly smaller branching ratios, which drop to values as low as \begin{document}$ 10^{-6} $\end{document}![]() ![]() . (d) The direct CP violations of these considered decays are small (\begin{document}$ 10^{-3}\sim 10^{-2} $\end{document}![]() ![]() ) because the penguin contributions are loop suppressed compared to the tree contributions. The mixing-induced CP violation of the \begin{document}$ B\to X(3872)K^0_S $\end{document}![]() ![]() decay is highly consistent with the current world average value \begin{document}$ \sin2\beta=(69.9\pm1.7)$\end{document}![]() ![]() %. Experimentally testing the results for the branching ratios and CP violations, including the implicit \begin{document}$S U(3)$\end{document}![]() ![]() and isospin symmetries of these decays, helps probe the nature of \begin{document}$ X(3872) $\end{document}![]() ![]() . |
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| Keywords: | B meson decay PQCD approach X(3872) |
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