\begin{document}$B_c$\end{document} meson spectrum, and the prediction of the mass spectrum for unobserved beauty-charm mesons can be tested in future experiments. Compared with previous studies, we systematically examine the beauty-charm meson family within the coupled channel components. The \begin{document}$1S$\end{document} state in beauty-charm meson family has few percent of coupled channel component, while the \begin{document}$2S$\end{document}, \begin{document}$1P$\end{document}, and \begin{document}$1D$\end{document} states have more than ten percent of coupled channel component. The two-body hadronic decay widths of the \begin{document}$2^3P_2$\end{document} state is as narrow as 3 MeV. The two-body hadronic decay widths of \begin{document}$3^1S_0$\end{document}, \begin{document}$3^3S_1$\end{document}, \begin{document}$2^3D_1$\end{document}, \begin{document}$2D$\end{document}, \begin{document}$2D^\prime$\end{document}, and \begin{document}$2^3D_3$\end{document} are approximately 109, 67, 60, 57, 201, and 76 MeV, respectively. Furthermore, the mixing effects between \begin{document}$B_c(n{}^3L_L)$\end{document} and \begin{document}$B_c(n{}^1L_L)$\end{document} states are discussed."> Beauty-charm meson family with coupled channel effects and their strong decays -
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