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

Abstract

We present a theoretical study of ${a}_{0}(1710)$, the isovector partner of ${f}_{0}(1710)$, in the process ${D}_{s}^{+}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{K}_{S}^{0}{K}_{S}^{0}$. The weak interaction part proceeds through the charm quark decay process: $c(\overline{s})\ensuremath{\rightarrow}(s+\overline{d}+u)(\overline{s})$, while the hadronization part takes place in two mechanisms, differing in how the quarks from the weak decay combine into $\ensuremath{\pi}{K}^{*}$ with a quark-antiquark pair $q\overline{q}$ with the vacuum quantum numbers. In addition to the contribution from the tree diagram of the ${K}^{*+}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{K}_{S}^{0}$, we have also considered the ${K}^{*}{\overline{K}}^{*}$ final-state interactions within the chiral unitary approach to generate the intermediate state ${a}_{0}(1710)$, then it decays into the final states ${K}_{S}^{0}{K}_{S}^{0}$. We find that the recent experimental measurements on the ${K}_{S}^{0}{K}_{S}^{0}$ and ${\ensuremath{\pi}}^{+}{K}_{S}^{0}$ 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 ${a}_{0}(1710)$.