Strong decays of the $P_c(4312)$ and its isospin cousin via the QCD sum rules

TL;DR

This paper uses QCD sum rules to analyze the strong decays of the pentaquark candidate $P_c(4312)$ and explores the possibility of a higher isospin cousin $P_c(4330)$, providing theoretical insights into their nature.

Contribution

It introduces a QCD sum rule approach to study the strong decays of $P_c(4312)$ and predicts properties of a potential $P_c(4330)$ isospin partner.

Findings

Calculated the pole residue of the $ riangle$ baryon with specific isospin.

Provided theoretical predictions that could guide future experimental verification.

Suggested the existence of a higher isospin pentaquark state $P_c(4330)$.

Abstract

In the present work, considering the conservation of isospin in the strong decays, we investigate the strong decays of the pentaquark molecule candidate $P_c(4312)$ and its possible higher isospin cousin $P_c(4330)$ in the framework of the QCD sum rules. What's more, the pole residue of the $\Delta$ baryon with isospin eigenstate $|II_3\rangle=|\frac{3}{2}\frac{1}{2}\rangle$ is obtained. If the possible pentaquark molecule candidate $P_c(4330)$ could be testified in the future experiment, it would shed light on interpretations of the $P_c$ states.