Study of the $f_2(1270)$, $f_2^{\mathrm{\prime }}(1525)$, ${\bar{K}}_2^{\ast }(1430)$, $f_0(1370)$ and $f_0(1710)$ production from $\psi (nS)$ and $\mathrm{{\rm Y}}(nS)$ decays

Based on previous studies that support the important role of the $f_2(1270)$, $f_2^{\mathrm{\prime }}(1525)$, and ${\bar{K}}_2^{\ast }(1430)$ resonances in the $J/\psi [\psi(2S)] \to \phi (\omega) VV$decays,wemakeananalysisoftheanalogousdecaysof$\Upsilon (1S)$and$\Upsilon (2S)$, taking into account recent experimental data. In addition, we study the $J\mathrm{/}\psi$ and $\psi (2S)$ radiative decays and we also made predictions for the radiative decay of $\mathrm{{\rm Y}}(1S)$ and $\mathrm{{\rm Y}}(2S)$ into $\gamma f_2(1270)$, $\gamma f_2^{\mathrm{\prime }}(1525)$, $\gamma f_0(1370)$ and $\gamma f_0(1710)$, comparing with the recent results of a CLEO experiment. We can compare our results for ratios of decay rates with eight experimental ratios and find agreement in all but one case, where experimental problems are discussed.