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We investigate the decay of $\bar B^0 \to \bar K^{*0} R$ and $\bar B^0_s \to\phi R$ with $R$ being the $X(4160)$, $Y(3940)$, $Z(3930)$ resonances. Underthe assumption that these states are dynamically generated from thevector-vector interaction, as has been concluded from several theoreticalstudies, we use a reaction mechanism of quark production at the elementarylevel, followed by hadronization of one final $q \bar q$ pair into two vectorsand posterior final state interaction of this pair of vector mesons to producethe resonances. With this procedure we are able to predict five ratios forthese decays, which are closely linked to the dynamical nature of these states,and also predict the order of magnitude of the branching ratios which we findof the order of $10^{-4}$, well within the present measurable range. In orderto further test the dynamical nature of these resonances we study the $\barB^0_s \to \phi D^* \bar D^*$ and $\bar B^0_s \to \phi D_s^* \bar D_s^*$ decaysclose to the $D^* \bar D^*$ and $D_s^* \bar D_s^*$ thresholds and makepredictions for the ratio of the mass distributions in these decays and the$\bar B^0_s \to \phi R$ decay widths. The measurement of these decays rates canhelp unravel the nature of these resonances.

Predictions for the $\bar B^0 \to \bar K^{*0} X (YZ)$ and $\bar B^0_s \to \phi X (YZ)$ with $X(4160), Y(3940), Z(3930)$