The scalar and pseudoscalar hidden-charm tetraquark states with QCD sum rules

TL;DR

This paper uses QCD sum rules to predict the masses of scalar and pseudoscalar hidden-charm tetraquark states based on diquark configurations, providing theoretical insights for future experimental verification.

Contribution

It constructs specific diquark-antidiquark currents with various quantum numbers and calculates their properties, which is a novel application for understanding hidden-charm tetraquarks.

Findings

Predicted masses of scalar and pseudoscalar tetraquark states.

Identification of possible decay patterns.

Theoretical framework for future experimental comparison.

Abstract

Based on the diquark configuration, we construct the diquark-antidiquark interpolating tetraquark currents with $J^{PC}=1^{-\pm}$ and $1^{+\pm}$, which can couple to the scalar and pseudoscalar tetraquark states respectively, since they are not conserved currents. Then we investigate their two-point correlation functions including the contributions of the vacuum condensates up to dimension-10 and extract the masses and pole residues of the tetraquark states with $J^{PC}=0^{+\pm}$ and $0^{-\pm}$ through the QCD sum rule approach. The predicted masses can be confronted with the experimental data in the future. Moreover, we briefly discuss the possible decay patterns of the tetraquark states.