B¯0andB¯s0decays intoJ/ψandf0(1370),f0(1710),f2(1270),f2′(1525),K2*(1430)

Abstract

We make predictions for the ratios of branching fractions of ${\overline{B}}^{0}$ and ${\overline{B}}_{s}^{0}$ decays into $J/\ensuremath{\psi}$ and the scalar mesons ${f}_{0}(1370)$, ${f}_{0}(1710)$ or tensor mesons ${f}_{2}(1270)$, ${f}_{2}^{\ensuremath{'}}(1525)$, ${K}_{2}^{*}(1430)$. The theoretical approach is based on results of chiral unitary theory where these resonances are shown to be generated from the vector meson--vector meson interaction. Eight independent ratios can be predicted, and comparison is made with the recent data on ${\overline{B}}_{s}^{0}$ decay into $J/\ensuremath{\psi}{f}_{2}^{\ensuremath{'}}(1525)$ versus the ${\overline{B}}_{s}^{0}$ decay into $J/\ensuremath{\psi}{f}_{2}(1270)$.