Inclusive approach to hunt for the beauty-charmed baryons $\hat{I}{ž}_{bc}$

Abstract

With a distinctive internal structure from all established hadrons, the beauty-charmed baryons $\hat{I}{ž}_{bc}$ can provide us with new points of view to decipher the strong interaction. In this work, we point out that the inclusive $\hat{I}{ž}_{bc}\to \hat{I}{ž}_{cc}^{++}+X$ decay is a golden channel for the experimental discovery of $\hat{I}{ž}_{bc}$ at the LHC. A unique feature of this process is that the $\hat{I}{ž}_{cc}^{++}$ is displaced, which greatly reduces the combinatorial background. A feasibility analysis is performed on the $\hat{I}{ž}_{bc}^{+}$ search, which is expected to have a longer lifetime than $\hat{I}{ž}_{bc}^0$ and thus a better displacement resolution. The $\hat{I}{ž}_{bc}^{+}\to \hat{I}{ž}_{cc}^{++}+X$ branching ratio is calculated within the heavy diquark effective theory. Combining the $\hat{I}{ž}_{bc}$ production rate and the $\hat{I}{ž}_{cc}^{++}$ detection efficiency, we anticipate that hundreds of signal events will be collected during LHCb Run 3.

6 pages, 3 figures