# Production of $P_c $ states from $\Lambda_b$ decay

## TL;DR

This paper investigates the production of $P_c$ states from $ ext{Lambda}_b$ decay using a molecular model and effective Lagrangian, predicting branching ratios that can be tested experimentally.

## Contribution

It provides the first detailed predictions of $P_c$ production ratios and branching fractions from $ ext{Lambda}_b$ decay within a molecular scenario.

## Key findings

- Predicted branching fractions of order 10^{-6} for $ ext{Lambda}_b o P_c K$.
- Ratios of production and decay branching fractions align with molecular scenario expectations.
- Predictions are weakly dependent on model parameters and testable by LHCb.

## 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.