Analysis of the ${\frac{1}{2}}^{\pm}$ pentaquark states in the diquark model with QCD sum rules

TL;DR

This paper investigates the masses and properties of specific hidden-charmed pentaquark states using QCD sum rules, extending previous work to include new configurations and providing predictions for future experimental validation.

Contribution

It introduces detailed QCD sum rule calculations for scalar and axialvector diquark configurations of pentaquarks, expanding the understanding of their mass spectrum and pole residues.

Findings

Predicted masses of ${rac{1}{2}}^ ext{±}$ pentaquark states.

Constructed interpolating currents for different diquark configurations.

Extended previous analyses to include new pentaquark configurations.

Abstract

In this article, we present the scalar-diquark-scalar-diquark-antiquark type and scalar-diquark-axialvector-diquark-antiquark type pentaquark configurations in the diquark model, and study the masses and pole residues of the $J^P={\frac{1}{2}}^\pm$ hidden-charmed pentaquark states in details with the QCD sum rules by extending our previous work on the $J^P={\frac{3}{2}}^-$ and ${\frac{5}{2}}^{+}$ hidden-charmed pentaquark states. We calculate the contributions of the vacuum condensates up to dimension-10 in the operator product expansion by constructing both the scalar-diquark-scalar-diquark-antiquark type and scalar-diquark-axialvector-diquark-antiquark type interpolating currents. The present predictions of the masses can be confronted to the LHCb experimental data in the future.