Eur. Phys. J. A (2008) 38: 233-238
https://doi.org/10.1140/epja/i2008-10663-9

Regular Article - Theoretical Physics

Gluelump model with transverse constituent gluons

Groupe de Physique Nucléaire Théorique, Université de Mons-Hainaut, Académie universitaire Wallonie-Bruxelles, Place du Parc 20, B-7000, Mons, Belgium

^* e-mail: fabien.buisseret@umh.ac.be

Received: 14 August 2008
Revised: 26 September 2008
Accepted: 9 October 2008
Published online: 24 October 2008

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.