Gluelump model with transverse constituent gluons

TL;DR

This paper models C-odd gluelumps as bound states of a transverse gluon in a flux-tube potential, aligning well with lattice QCD data and suggesting instanton effects cause parity splitting.

Contribution

It introduces a helicity-based constituent gluon model for gluelumps that accurately reproduces lattice mass spectra and explains parity splitting via instanton interactions.

Findings

Model reproduces lattice gluelump masses accurately.

Helicity degree of freedom excludes unobserved states.

Parity splitting attributed to instanton effects.

Abstract

We show that C-odd gluelumps can be successfully described as bound states of a single transverse constituent gluon evolving in the flux-tube-like potential generated by a static color-octet source. The use of a helicity degree of freedom rather than a spin one for the constituent gluon forbids the states that are not observed in lattice QCD. Our model leads to a gluelump mass spectrum in remarkable agreement with the available lattice data provided that an additional parity-splitting mass term is introduced. We argue that such a term is due to instanton-induced interactions in gluelumps.