Tests on the molecular structure of $f_2(1270)$, $f_2^{\prime }(1525)$ from $\psi (nS)$ and ${\rm Y}(nS)$ decays

Abstract

Based on previous studies that support the vector-vector molecular structure of the $f_2(1270)$, $f_2^{\prime }(1525)$, ${\bar{K}}_2^{\ast 0}(1430)$, $f_0(1370)$ and $f_0(1710)$ resonances, we make predictions for $\psi (2S)$ decay into $\omega (\varphi )f_2(1270)$, $\omega (\varphi )f_2^{\prime }(1525)$, $K^{\ast 0}(892){\bar{K}}_2^{\ast 0}(1430)$ and radiative decay of ${\rm Y}(1S),{\rm Y}(2S),\psi (2S)$ into $\gamma f_2(1270)$, $\gamma f_2^{\prime }(1525)$, $\gamma f_0(1370)$, $\gamma f_0(1710)$. Agreement with experimental data is found for three available ratios, without using free parameters, and predictions are done for other cases.

Comments: 8 pages, 4 figs, misprints corrected and minor changes