# Exploring a $\Sigma_{c}\bar{D}$ state: with focus on $P_{c}(4312)^{+}$

## TL;DR

This paper investigates the nature of the $P_{c}(4312)^{+}$ pentaquark candidate as a $ ext{Sigma}_c ar{D}$ molecular state using QCD sum rules, providing a mass estimate consistent with experimental observations.

## Contribution

The study applies QCD sum rules to interpret $P_{c}(4312)^{+}$ as a $ ext{Sigma}_c ar{D}$ state, offering a theoretical mass range aligning with experimental data.

## Key findings

- Mass range 4.07–4.97 GeV supports the $ ext{Sigma}_c ar{D}$ interpretation.
- Results are consistent with the observed $P_{c}(4312)^{+}$ mass.
- QCD sum rules effectively describe the pentaquark candidate.

## Abstract

Stimulated by the new discovery of $P_{c}(4312)^{+}$ by LHCb Collaboration, we endeavor to perform the study of $P_{c}(4312)^{+}$ as a $\Sigma_{c}\bar{D}$ state in the framework of QCD sum rules. Taking into account the results from two sum rules, a conservative mass range $4.07\sim4.97~\mbox{GeV}$ is presented for the $\Sigma_{c}\bar{D}$ hadronic system, which agrees with the experimental data of $P_{c}(4312)^{+}$ and could support its interpretation as a $\Sigma_{c}\bar{D}$ state.