The D_s⁺ decay into π⁺K_S⁰ K_S⁰ reaction and the I = 1 partner of the f₀(1710) state

Two identified decay modes of the D_s⁺ → π⁺K^∗+K^∗−, π⁺K^∗0K̄^∗0 reactions producing a pion and two vector mesons are discussed in this talk. The posterior vector-vector interaction generates two resonances that we associate to the f₀(1710) and the a₀(1710) recently claimed, and they decay to the observed K⁺K⁻ or K_S⁰ K_S⁰ pair, leading to the reactions D_s⁺ → π⁺K⁺K⁻, π⁺K_S⁰ K_S⁰. The results depend on two parameters related to external and internal emission. We determine a narrow region of the parameters consistent with the large Nc limit within uncertainties which gives rise to decay widths in agreement with experiment. With this scenario we make predictions for the branching ratio of the a₀(1710) contribution to the D_s⁺ → π⁰K⁺K_S⁰ reaction, finding values within the range of (1.3±0.4)×10⁻³. We obtain predictions in good agreement with the BESIII measurements, confirming the new a₀(1710) (a₀(1817)) resonance. This is an important state and will shed light into the structure of scalar mesons in light quark sector and other relevant issues currently under debate in hadron physics.