Strong decays of \(a_0\), \(f_0\), \(f_2\), and \(K^*_2\) resonances as dynamically generated states of two vector mesons

Abstract

The two-body strong decays of the \(f_0(1370)/f_0(1500)\), \(f_0(1710)\), \(a_0(1710)\), \(f_2(1270)\), \(f_2'(1525)\), and \(K_2^*(1430)\) resonances are investigated, assuming them as dynamically generated states of two vector mesons via S-wave interactions. Based on the strong couplings of these scalar and tensor mesons to the vector-vector channels, their partial decay widths to all the possible two-body pseudoscalar meson-pseudoscalar meson final states are calculated considering the triangular diagrams involving the exchange of pseudoscalar mesons. It is found that some of the obtained ratios of branching fractions are compatible with the available experimental measurements. However, to further validate the model calculations and precisely determine the nature of these scalar and tensor mesons, more accurate experimental measurements are indispensable. We anticipate that in the future, the BESIII, BelleII, and LHCb collaborations will carry out these crucial measurements, which will significantly contribute to the understanding of the properties of these scalar and tensor mesons.