In this work the production of the state $X(3872)$ is estimated via the reaction $B^0\to K^{*0}X(3872)$ through triangle mechanisms described by the sequence $B^0\to D_s^{(*)+}(\to K^{*0}{D}^{(*)+})D^{(*)-}\to K^{*0}(D^{(*)+}{D}^{(*)-})\to K^{*0}X(3872)$. The molecular configuration $(D{\overline{D}}^{*}-\mathrm{c}.\mathrm{c}.)$ of the $X(3872)$ is considered. By means of the effective Lagrangian approach, the branching ratio $\mathcal{B}(B^0\to K^{*0}X(3872))$ is calculated as a function of the strength of the coupling of the charged components $(D^{+}{\overline{D}}^{*-}-\mathrm{c}.\mathrm{c}.)$ to the $X(3872)$ and compared with experimental data. Besides, employing the decay $B^0\to K^{*0}\psi (2S)$ as a normalization channel, the ratio of branching fractions $R=\frac{\mathcal{B}(B^0\to K^{*0}X(3872))}{\mathcal{B}(B^0\to K^{*0}\psi (2S))}\times \frac{\mathcal{B}(X(3872)\to J/\psi {\pi }^{+}{\pi }^{-})}{\mathcal{B}(\psi (2S)\to J/\psi {\pi }^{+}{\pi }^{-})}$ is also estimated. The findings provide another concrete example for the vital role of charged components in achieving a quantitatively correct description of the $X(3872)$.

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• Heavy-particle decays
• Particle decays
• Particle interactions
• Particle production
• Exotic mesons