The Glueball Spectrum from Constituent Models
V. Mathieu, F. Buisseret, C. Semay, B. Silvestre-Brac
TL;DR
This paper models odd-$C$ glueballs with three constituent gluons, comparing different formalisms, and finds that the helicity formalism with transverse gluons aligns better with lattice QCD results.
Contribution
It extends previous two-gluon glueball models to three-gluon states and demonstrates the improved fit of the helicity formalism for negative charge parity glueballs.
Findings
Spin-1 gluons reproduce positive-$C$ spectrum well.
Three-gluon models struggle with negative-$C$ states.
Helicity formalism improves agreement with lattice data.
Abstract
We present a model for odd- (negative charge parity) glueballs with three constituent gluons. The model is an extension of a previous study of two-gluon glueballs. We show that, even if spin-1 gluons seem to reproduce properly the lattice QCD spectrum for states, the extension for cannot match with the lattice results. Resorting to the helicity formalism, we show how transverse gluons fit in better agreement the lattice QCD spectrum.
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Taxonomy
TopicsBenford’s Law and Fraud Detection · Advanced Algebra and Geometry · Geometric and Algebraic Topology