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We make predictions for the ratios of branching fractions of ${\bar B}^0$ and${\bar B}^0_s$ decays into $J/\psi$ and the scalar mesons$f_0(1370),~f_0(1710)$ or tensor mesons $f_2(1270),~f'_2(1525),~K^*_2(1430)$.The theoretical approach is based on results of chiral unitary theory wherethese resonances are shown to be generated from the vector meson-vector mesoninteraction. Eight independent ratios can be predicted and comparison is madewith the recent data on $\bar{B}^0_s$ decay into $J/\psi f'_2(1525)$ versus the$\bar{B}^0_s$ decay into $J/\psi f_2(1270)$.

$\bar{B}^0$ and $\bar{B}^0_s$ decays into $J/\psi$ and $f_0(1370),~f_0(1710),~f_2(1270),~f'_2(1525),~K^*_2(1430)$