Branching fraction of $\Xi_{bc}^+\to \Xi_{c}^+ J/\psi$ in the final-state-interaction approach

Abstract

The process of $\Xi_{bc}^{+}\to \Xi_{c}^{+}J/\psi$ 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 $\Xi_{bc}^{+}\to \Xi_{c}^{+}J/\psi$ in the final-state-interaction approach, as it is dominated by the color-suppressed non-factorizable contributions. A similar process, $\Lambda_{b}^{0}\to \Lambda^0 J/\psi$, is used as a control mode to fix the model parameter. Consequently, the branching fraction of $\Xi_{bc}^{+}\to \Xi_{c}^{+}J/\psi$ is predicted to be $(1.55_{-0.42}^{+0.50})\times10^{-4}$. 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 $\Xi_{bc}^+$ in the near future.