Branching fraction of $\hat{I}{ž}_{bc}^{+}\to \hat{I}{ž}_c^{+}J/\ddot{I}ˆ$ in the final-state-interaction approach

Abstract

The process of $\hat{I}{ž}_{bc}^{+}\to \hat{I}{ž}_c^{+}J/\ddot{I}ˆ$ is among the most favored modes for searching for bottom-charm baryons. However, its branching fraction has never been studied in theory. In this work, we investigate the branching fraction of $\hat{I}{ž}_{bc}^{+}\to \hat{I}{ž}_c^{+}J/\ddot{I}ˆ$ in the final-state-interaction approach, as it is dominated by the color-suppressed non-factorizable contributions. A similar process, $\hat{I}{›}_b^0\to \hat{I}{›}^{0}J/\ddot{I}ˆ$, is used as a control mode to fix the model parameter. Consequently, the branching fraction of $\hat{I}{ž}_{bc}^{+}\to \hat{I}{ž}_c^{+}J/\ddot{I}ˆ$ is predicted to be $(1.55_{-0.42}^{+0.50})\times 10^{-4}$. With the production rate of bottom-charm baryons and the detection efficiencies of the final states, it is expected for considerable signal events to observe $\hat{I}{ž}_{bc}^{+}$ in the near future.

Updated as the published version