Partial wave analysis of $\ddot{I}ˆ(3686)\to K^{+}{K}^{-}\hat{I}\cdot$

Abstract

Using a sample of $(448.1\pm 2.9)\times 10^6$ $\ddot{I}ˆ(3686)$ events collected with the BESIII detector, we perform the first partial wave analysis of $\ddot{I}ˆ(3686)\to K^{+}{K}^{-}\hat{I}\cdot$. In addition to the well established states, $\ddot{I}•(1020)$, $\ddot{I}•(1680)$, and $K_3^{\ast }(1780)$, contributions from $X(1750)$, $\ddot{I}(2150)$, $\ddot{I}{}_3(2250)$, and $K_2^{\ast }(1980)$ are also observed. The $X(1750)$ state is determined to be a $1^{--}$ resonance. The simultaneous observation of the $\ddot{I}•(1680)$ and $X(1750)$ indicates that the $X(1750)$, with previous observations in photoproduction, is distinct from the $\ddot{I}•(1680)$. The masses, widths, branching fractions of $\ddot{I}ˆ(3686)\to K^{+}{K}^{-}\hat{I}\cdot$ and the intermediate resonances are also measured.

12 pages, 11 figures, 5 tables, published in PRD