# Possible interpretations of the $P_c(4312)$, $P_c(4440)$, and $P_c(4457)$

## TL;DR

This paper interprets the recently observed pentaquark states as bound states of specific baryon-meson combinations using QCD sum rules, proposing spin-parity measurements for verification.

## Contribution

It offers a novel interpretation of $P_c$ states as baryon-meson bound states with specific quantum numbers based on QCD sum rule analysis.

## Key findings

- $P_c(4312)$ as $ig[\Sigma_c^{++} ar D^-ig]$ with $J^P=1/2^-$
- $P_c(4440)$ and $P_c(4457)$ as various $ig[ ext{baryon} ar D^{(*)}ig]$ bound states with different spins
- Proposes measuring spin-parity to confirm these interpretations.

## Abstract

Based on our previous QCD sum rule studies on hidden-charm pentaquark states, we discuss possible interpretations of the $P_c(4312)$, $P_c(4440)$, and $P_c(4457)$, which were recently observed by LHCb. Our results suggest that the $P_c(4312)$ can be well interpreted as the $[\Sigma_c^{++} \bar D^-]$ bound state with $J^P = 1/2^-$, while the $P_c(4440)$ and $P_c(4457)$ can be interpreted as the $[\Sigma_c^{+} \bar D^0]$ bound state with $J^P = 1/2^-$, the $[\Sigma_c^{*++} \bar D^{-}]$ and $[\Sigma_c^{+} \bar D^{*0}]$ bound states with $J^P = 3/2^-$, or the $[\Sigma_c^{*+} \bar D^{*0}]$ bound state with $J^P = 5/2^-$. We propose to measure their spin-parity quantum numbers to verify these assignments.