Properties of $P_c(4312)$ pentaquark and its bottom partner

TL;DR

This paper uses QCD sum rules to analyze the properties and quantum numbers of the $P_c(4312)^+$ pentaquark and its bottom partner, supporting a molecular state interpretation with specific quantum numbers.

Contribution

It provides a QCD sum rule analysis of the $P_c(4312)^+$ pentaquark and its bottom partner, determining their quantum numbers and molecular nature.

Findings

Supports $J^P=1/2^-$ for $P_c(4312)^+$

Mass results consistent with molecular state hypothesis

Analyzes both positive and negative parity states

Abstract

We present an analysis of the newly observed pentaquark $P_c(4312)^+$ to shed light on its quantum numbers. To do that, the QCD sum rule approach is used. The measured mass of this particle is close to $\Sigma_c^{++}\bar{D}^-$ threshold and has a small width, which supports the possibility of its being a molecular state. We consider an interpolating current in a molecular form and analyze both the positive and negative parity states with spin-$\frac{1}{2}$. We also consider the bottom counterpart of the state with similar molecular form. Our mass result for the charm pentaquark state supports that, the quantum numbers of the observed state are consistent with $J^P=\frac{1}{2}^{-}$.