Systematic study of the strong decays of the $P_c$ states and their possible isospin cousins via the QCD sum rules

TL;DR

This paper systematically studies the strong decay properties of the $P_c$ states and their isospin cousins using QCD sum rules, providing decay width predictions that align with experimental data.

Contribution

It offers a comprehensive QCD sum rule analysis of $P_c$ states as meson-baryon molecules, including decay constants and widths, and predicts properties of isospin cousins.

Findings

Decay widths of $P_c(4380)$, $P_c(4440)$, and $P_c(4457)$ agree with experiments.

Predicted decay properties of isospin cousins can guide future experimental searches.

Supports the molecular state assignment for the $P_c$ states.

Abstract

In the present work, the strong decays of the discovered $P_c(4380)$, $P_c(4440)$, $P_c(4457)$ and their possible isospin cousins are systematically studied via the assignment that they are the meson-baryon molecular states. In detail, the strong decay constants, partial decay widths of their decay channels are calculated under the framework of QCD sum rules. The decay withes of the discovered $P_c(4380)$, $P_c(4440)$ and $P_c(4457)$ are in good agreement with the experiments. The predictions of the decays of these three related possible isospin cousins are presented which would shed light for their findings in experiment, in return, this may testify the assignments of the discovered $P_c$ states.