Tests on the molecular structure of $f_2(1270)$, $f'_2(1525)$ from $ψ(nS)$ and $Υ(nS)$ decays

Abstract

Based on previous studies that support the vector-vector molecular structure of the $f_2(1270)$, $f'_2(1525)$, $\bar{K}^{*\,0}_2(1430)$, $f_0(1370)$ and $f_0(1710)$ resonances, we make predictions for $ψ(2S)$ decay into $ω(ϕ) f_2(1270)$, $ω(ϕ) f'_2(1525)$, $K^{*0}(892) \bar{K}^{*\,0}_2(1430)$ and radiative decay of $Υ(1S),Υ(2S), ψ(2S)$ into $γf_2(1270)$, $γf'_2(1525)$, $γf_0(1370)$, $γf_0(1710)$. Agreement with experimental data is found for three available ratios, without using free parameters, and predictions are done for other cases.

8 pages, 4 figs, misprints corrected and minor changes