Search for $X(3872)\to \ddot{I}{€}^0\ddot{I}{‡}_{c0}$ and $X(3872)\to \ddot{I}€\ddot{I}€\ddot{I}{‡}_{c0}$ at BESIII

Abstract

Using 9.9 fb${}^{-1}$ of $e^{+}{e}^{-}$ collision data collected by the BESIII detector at center-of-mass energies between 4.15 and 4.30 GeV, we search for the processes $e^{+}{e}^{-}\to {\hat{I}}^{3}X(3872)$ with $X(3872)\to \ddot{I}{€}^0\ddot{I}{‡}_{c0}$ and $X(3872)\to \ddot{I}€\ddot{I}€\ddot{I}{‡}_{c0}$. Depending on the fitting model, the statistical significance for $X(3872)\to \ddot{I}{€}^0\ddot{I}{‡}_{c0}$ ranges from 1.3$\ddot{I}ƒ$ to 2.8$\ddot{I}ƒ$. We set upper limits (at 90\% C.L.) of $\frac{\mathcal{B}(X(3872)\to \ddot{I}{€}^0\ddot{I}{‡}_{c0})}{\mathcal{B}(X(3872)\to \ddot{I}{€}^{+}\ddot{I}{€}^{-}J/\ddot{I}ˆ)}<3.6$, $\frac{\mathcal{B}(X(3872)\to \ddot{I}{€}^{+}\ddot{I}{€}^{-}\ddot{I}{‡}_{c0})}{\mathcal{B}(X(3872)\to \ddot{I}{€}^{+}\ddot{I}{€}^{-}J/\ddot{I}ˆ)}<0.68$, and $\frac{\mathcal{B}(X(3872)\to \ddot{I}{€}^0\ddot{I}{€}^0\ddot{I}{‡}_{c0})}{\mathcal{B}(X(3872)\to \ddot{I}{€}^{+}\ddot{I}{€}^{-}J/\ddot{I}ˆ)}<1.7$. Combined with the BESIII measurement of $X(3872)\to \ddot{I}{€}^0\ddot{I}{‡}_{c1}$, we also set an upper limit of $\frac{\mathcal{B}(X(3872)\to \ddot{I}{€}^0\ddot{I}{‡}_{c0})}{\mathcal{B}(X(3872)\to \ddot{I}{€}^0\ddot{I}{‡}_{c1})}<4.4$.

16 pages