Study of $e^{+}{e}^{-}\to \ddot{I}{€}^{0}X(3872){\hat{I}}^3$ and search for $Z_c(4020{)}^0\to X(3872){\hat{I}}^3$

Abstract

Using data samples collected with the BESIII detector operating at the BEPCII storage ring at center-of-mass energies from 4.178 to 4.600 GeV, we study the process $e^{+}{e}^{-}\to \ddot{I}{€}^{0}X(3872){\hat{I}}^3$ and search for $Z_c(4020{)}^0\to X(3872){\hat{I}}^3$. We find no significant signal and set upper limits on $\ddot{I}ƒ(e^{+}{e}^{-}\to \ddot{I}{€}^{0}X(3872){\hat{I}}^3)\cdot \mathcal{B}(X(3872)\to \ddot{I}{€}^{+}\ddot{I}{€}^{-}J/\ddot{I}ˆ)$ and $\ddot{I}ƒ(e^{+}{e}^{-}\to \ddot{I}{€}^0{Z}_c(4020{)}^0)\cdot \mathcal{B}(Z_c(4020{)}^0\to X(3872){\hat{I}}^3)\cdot \mathcal{B}(X(3872)\to \ddot{I}{€}^{+}\ddot{I}{€}^{-}J/\ddot{I}ˆ)$ for each energy point at $90\%$ confidence level, which is of the order of several tenths pb.

11 pages, 4 figures