Search for the $\hat{I}{\cdot }_{c2}(1D)$ in $e^{+}{e}^{-}\to {\hat{I}}^3\hat{I}{\cdot }_{c2}(1D)$ at $\sqrt{s}$ near 10.6 GeV at Belle

Abstract

For the first time we search for the $\hat{I}{\cdot }_{c2}(1D)$ in $e^{+}{e}^{-}\to {\hat{I}}^3\hat{I}{\cdot }_{c2}(1D)$ at $\sqrt{s}$ = 10.52, 10.58, and 10.867 GeV with data samples of 89.5 fb${}^{-1}$, 711 fb${}^{-1}$, and 121.4 fb${}^{-1}$, respectively, accumulated with the Belle detector at the KEKB asymmetric energy electron-positron collider. No significant $\hat{I}{\cdot }_{c2}(1D)$ signal is observed in the mass range between 3.8 and 3.88 GeV/$c^2$. The upper limit at 90\% confidence level on the product of the Born cross section for $e^{+}{e}^{-}\to {\hat{I}}^3\hat{I}{\cdot }_{c2}(1D)$ and branching fraction for $\hat{I}{\cdot }_{c2}(1D)\to {\hat{I}}^3{h}_c(1P)$ is determined to be $\ddot{I}ƒ(e^{+}{e}^{-}\to {\hat{I}}^3\hat{I}{\cdot }_{c2}(1D))\mathcal{B}(\hat{I}{\cdot }_{c2}(1D)\to {\hat{I}}^3{h}_c(1P))$ $<$ 4.9 fb at $\sqrt{s}$ near 10.6 GeV.

9 pages, 4 figures, 2 tables