Cluster Reducibility of Multiquark Operators and Tetraquark-Adequate QCD Sum Rules

TL;DR

This paper enhances QCD sum rules for tetraquarks by introducing a selection criterion that eliminates irrelevant contributions, thereby improving the method's predictive accuracy for multiquark hadrons.

Contribution

It proposes a novel selection criterion to remove non-relevant contributions in QCD sum rules, specifically tailored for tetraquark analysis.

Findings

Improved accuracy in QCD sum rule predictions for tetraquarks.

Reduction of irrelevant contributions enhances the interpretability of multiquark properties.

Method applicable to other multiquark systems for better theoretical modeling.

Abstract

If connecting properties of a multiquark hadron with those exhibited by its constituents, QCD sum rules inferred along the routes of traditional wisdom necessarily involve contributions not related at all to and thus not presenting information about multiquarks. Realizing this deficiency, we propose to increase, for the example of tetraquarks, the predictive power of the QCD sum-rule formalism by disposal of all of the unwanted contributions from the very beginning; this move is easily accomplished by subjecting the contributions to our perspicuous selection criterion.