a0(1710)−f0(1710) mixing effect in the Ds+→KS0KS0π+ decay

Abstract

With the measurements of the decay Ds+→KS0KS0π+ by the BESIII collaboration, we investigate this three-body weak decay via the chiral unitary approach for the final state interaction, where the resonances S(980) and S(1710) are dynamically reproduced with the interaction of eleven coupled channels, and the W-external and W-internal emission mechanisms are considered at the quark level. Besides, we also take into account the contribution from the P-wave resonance K*(892)+ and make a combined fit of the KS0KS0 and KS0π+ invariant mass spectra measured by the BESIII collaboration. The fitted results show that the enhancement around 1.7 GeV in KS0KS0 mass spectrum is overlapped with two visible peaks, indicating the mixing signal originated from the resonances a0(1710) and f0(1710) due to their different poles (masses). Thus, the decay Ds+→KS0KS0π+ is helpful to reveal their molecular nature with the mixing signal, which can be more precisely measured in the future. Published by the American Physical Society 2024