Analysis of the hidden-charm pentaquark candidates in the $J/\psi \Sigma$ mass spectrum via the QCD sum rules

TL;DR

This paper uses QCD sum rules within a diquark model to systematically analyze hidden-charm pentaquark states with strangeness, predicting their masses and suggesting experimental search channels.

Contribution

It constructs diquark-diquark-antiquark currents for $uuscar{c}$ pentaquarks and calculates their mass spectrum, providing new theoretical insights into these exotic states.

Findings

Mass spectrum of $IJ^{P}=1\frac{1}{2}^-$, $1\frac{3}{2}^-$, $1\frac{5}{2}^-$ pentaquarks obtained

Proposed experimental processes to search for $P_{cs}$ states involving $J/\psi \Sigma$

Systematic QCD sum rule analysis within the diquark model

Abstract

In this work, we adopt the diquark model, construct the diquark-diquark-antiquark type currents with the light quarks $uus$ in two octets, and study the $uusc\bar{c}$ pentaquark states in the framework of the QCD sum rules systematically. We obtain the mass spectrum of the hidden-charm-singly-strange pentaquark states with the quantum numbers $IJ^{P}=1{\frac{1}{2}}^-$, $1{\frac{3}{2}}^-$ and $1{\frac{5}{2}}^-$. And we can search for those $P_{cs}$ states in the processes $\Sigma_b^+\to P_{cs}^+\phi \to J/\psi \Sigma^+ \,\phi$ and $\Xi_b^0\to P_{cs}^+ K^- \to J/\psi \Sigma^+\, K^-$.