Scalar Tetraquark Currents With Application to the QCD Sum Rule

TL;DR

This paper constructs and analyzes various scalar tetraquark currents within the QCD sum rule framework to study light scalar mesons, deriving relations among currents and calculating masses consistent with experimental data.

Contribution

It introduces a comprehensive set of independent scalar tetraquark currents and establishes their relations, providing a detailed QCD sum rule analysis of light scalar meson masses.

Findings

Derived five independent currents for diquark-antidiquark and meson-meson configurations.

Established relations among different meson-meson currents.

Calculated scalar meson masses consistent with experimental observations.

Abstract

We study the light scalar mesons in the QCD sum rule. We construct both the diquark-antidiquark currents $(qq)(\bar q \bar q)$ and the meson-meson currents $(\bar qq)(\bar qq)$. We find that there are five independent currents for both cases, and derive the relations between them. For the meson-meson currents, five independent currents are formed by products of color singlet $\bar q q$ pairs or color octet pairs. However, they can be related to each other, and the relations are derived. We obtain the masses of the light scalar mesons which are consistent with the experiments.