Search for $X(3872)\to \ddot{I}{€}^0\ddot{I}{€}^0\ddot{I}{‡}_{c1,2}$

Abstract

Using 10.1 fb${}^{-1}$ of $e^{+}{e}^{-}$ collision data collected by the BESIII detector with center-of-mass energies between 4.15 GeV and 4.30 GeV, we search for the decays $X(3872)\to \ddot{I}{€}^0\ddot{I}{€}^0\ddot{I}{‡}_{c1,2}$, where the $X(3872)$ is produced in $e^{+}{e}^{-}\to {\hat{I}}^{3}X(3872)$. No evidence above $3\ddot{I}ƒ$ is found for either decay. Upper limits at the $90\%$ C.L. on the branching fractions of $X(3872)\to \ddot{I}{€}^0\ddot{I}{€}^0\ddot{I}{‡}_{c1,2}$ normalized to the branching fraction of $X(3872)\to \ddot{I}{€}^{+}\ddot{I}{€}^{-}J/\ddot{I}ˆ$ are set to be $\mathcal{B}(X(3872)\to \ddot{I}{€}^0\ddot{I}{€}^0\ddot{I}{‡}_{c1})/\mathcal{B}(X(3872)\to \ddot{I}{€}^{+}\ddot{I}{€}^{-}J/\ddot{I}ˆ)<1.1$ and $\mathcal{B}(X(3872)\to \ddot{I}{€}^0\ddot{I}{€}^0\ddot{I}{‡}_{c2})/\mathcal{B}(X(3872)\to \ddot{I}{€}^{+}\ddot{I}{€}^{-}J/\ddot{I}ˆ)<0.5$, taking into account both statistical and systematic uncertainties.

12 pages, 4 figures, 6 tables