Production of $P_c$ states from ${\Lambda }_b$ decay

Abstract

In the present work, we investigate $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$ production from ${\Lambda }_b$ decay in a molecular scenario by using an effective Lagrangian approach. We predict the ratio of the branching fraction of ${\Lambda }_b\to P_{c}K$, which is weakly dependent on our model parameter. We also find the ratios of the productions of the branching fractions of ${\Lambda }_b\to P_{c}K$ and $P_c\to J/\psi p$ can be well interpreted in the molecular scenario. Moreover, the estimated branching fractions of ${\Lambda }_b\to P_{c}K$ are of order $10^{-6}$, which could be tested by further measurements in LHCb Collaboration.

Comments: 7 pages, 4 figures and 3 tables