Measurement of $\ddot{I}{‡}_{cJ}$ decaying into $\hat{I}{\cdot }^{\prime }{K}^{+}{K}^{-}$

Abstract

Using $(106.41\pm 0.86)\times 10^6$ $\ddot{I}ˆ(3686)$ events collected with the BESIII detector at BEPCII, we study for the first time the decay $\ddot{I}{‡}_{cJ}\to \hat{I}{\cdot }^{\prime }{K}^{+}{K}^{-}$, where $\hat{I}{\cdot }^{\prime }\to {\hat{I}}^3\ddot{I}{}^0$ and $\hat{I}{\cdot }^{\prime }\to \hat{I}\cdot \ddot{I}{€}^{+}\ddot{I}{€}^{-}$. A partial wave analysis in the covariant tensor amplitude formalism is performed for the decay $\ddot{I}{‡}_{c1}\to \hat{I}{\cdot }^{\prime }{K}^{+}{K}^{-}$. Intermediate processes $\ddot{I}{‡}_{c1}\to \hat{I}{\cdot }^{\prime }{f}_0(980)$, $\ddot{I}{‡}_{c1}\to \hat{I}{\cdot }^{\prime }{f}_0(1710)$, $\ddot{I}{‡}_{c1}\to \hat{I}{\cdot }^{\prime }{f}_2^{\prime }(1525)$ and $\ddot{I}{‡}_{c1}\to K_0^{\ast }(1430{)}^{\pm }{K}^{\mp }$ ($K_0^{\ast }(1430{)}^{\pm }\to \hat{I}{\cdot }^{\prime }{K}^{\pm }$) are observed with statistical significances larger than 5$\ddot{I}ƒ$, and their branching fractions are measured.

19 pages, 12 figures, format modified, several figures updated to be consistent with the version published at PRD