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 $(1.55_{-0.42}^{+0.50})\times 10^{-4}$. 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 ${\Xi }_{bc}^{+}$ in the near future.

Comments: Updated as the published version