Analysis of the $X(5568)$ as scalar tetraquark state in the diquark-antidiquark model with QCD sum rules

TL;DR

This paper investigates the $X(5568)$ as a scalar tetraquark using QCD sum rules, constructing a diquark-antidiquark model to predict its mass, which aligns with experimental observations.

Contribution

It provides a QCD sum rule analysis supporting the interpretation of $X(5568)$ as a scalar tetraquark state, including detailed operator product expansion calculations.

Findings

Predicted mass $M_X=5.57\, m{GeV}$ matches experimental data

Supports $X(5568)$ as a scalar tetraquark

Operator product expansion up to dimension-10 used

Abstract

In this article, we take the $X(5568)$ as the diquark-antidiquark type tetraquark state with the spin-parity $J^P=0^+$, construct the scalar-diquark-scalar-antidiquark type current, carry out the operator product expansion up to the vacuum condensates of dimension-10, and study the mass and pole residue in details with the QCD sum rules. We obtain the value $M_X=\left(5.57\pm0.12 \right) \,\rm{GeV}$, which is consistent with the experimental data. The present prediction favors assigning the $X(5568)$ to be the scalar tetraquark state.