Theoretical study of the process Ds+ →π+ KS0 KS0 and the isovector partner of f0 (1710)

We present a theoretical study of a0(1710), the isovector partner of f0(1710), in the process Ds+→π+KS0KS0. 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 πK∗ with a quark-antiquark pair qq¯ with the vacuum quantum numbers. In addition to the contribution from the tree diagram of the K∗+→π+KS0, we have also considered the K∗K̄∗ final-state interactions within the chiral unitary approach to generate the intermediate state a0(1710), then it decays into the final states KS0KS0. We find that the recent experimental measurements on the KS0KS0 and π+KS0 invariant mass distributions can be well reproduced, and the proposed mechanism can provide valuable information on the nature of scalar f0(1710) and its isovector partner a0(1710).