Theoretical study of the process Ds+ → π+ KS0KS0 and the isovector partner of f0(1710)

We present a theoretical study of a(0)(1710), the isovector partner of f(0)(1710), in the process D-s(+) pi(+)-+(KSKS0)-K-0. The weak interaction part proceeds through the charm quark decay process: c(s) -> (s + d + u)(s), while the hadronization part takes place in two mechanisms, differing in how the quarks from the weak decay combine into xK* with a quark-antiquark pair qq with the vacuum quantum numbers. In addition to the contribution from the tree diagram of the K*(+) -> pi K-+(S)0, we have also considered the K*K* final-state interactions within the chiral unitary approach to generate the intermediate state a(0)(1710), then it decays into the final states (KSKS0)-K-0. We find that the recent experimental measurements on the (KSKS0)-K-0 and pi K-+(S)0 invariant mass distributions can be well reproduced, and the proposed mechanism can provide valuable information on the nature of scalar f(0)(1710) and its isovector partner a(0)(1710).

Automated summary

This study presents a theoretical analysis of a(0)(1710), which is the isovector partner of f(0)(1710), in the process D-s(+) pi(+)-+(KSKS0)-K-0. The authors investigate the weak interaction part through the charm quark decay process and the hadronization part through different mechanisms. The results provide valuable insights into the nature of scalar f(0)(1710) and its isovector partner a(0)(1710).