$P_c(4457)$ interpreted as a $J^P=1/2^+$ state by $\bar{D}^0\Lambda^+_c(2595)$-$\pi^0 P_c(4312)$ interaction

TL;DR

This paper proposes a new interpretation of the $P_c(4457)$ pentaquark as a positive parity state generated from coupled-channel interactions involving $ar{D}^0\Lambda_c(2595)$ and $\pi^0 ext{ extendash}P_c(4312)$, suggesting specific decay processes for experimental verification.

Contribution

It introduces a novel coupled-channel model for $P_c(4457)$, predicting its positive parity and dominant decay mode, differing from previous bound state interpretations.

Findings

$P_c(4457)$ interpreted as a positive parity state.

Main decay channel predicted as $P_c(4312) o P_c(4457) o P_c(4312)\pi$.

Proposes experimental processes to verify the model.

Abstract

$P_c(4457)$ has been discovered over five years, but the parity of this particle remains undetermined. In this letter we propose a new interpretation for $P_c(4457)$, which is the state generated from the coupled-channel $\bar{D}^0\Lambda_c^{+}(2595)$ and $\pi^0 P_c(4312)$ since they can exchange an almost on-shell $\Sigma_c^+$. In this scenario, the parity of $P_c(4457)$ will be positive, which is different from the candidate of the bound state of $\bar{D}^*\Sigma_c$. The main decay channel of $P_c(4457)$ in this model is $P_c(4312)\pi$. We propose three processes $\Lambda_b^0 \to J/\psi K_s p \pi^-$, $\Lambda_b^0 \to J/\psi K^- p \pi^0$, and $\Lambda_b^0 \to J/\psi p \pi^- \pi^+ K^-$ to verify $P_c(4457)\to P_c(4312)\pi$.