On two- and three-body descriptions of hybrid mesons

Details On two- and three-body descriptions of hybrid mesons On two- and three-body descriptions of hybrid mesons

2006-10-11

arxiv.org/abs/hep-ph/0610132v2

Phys.Rev.D74:114018,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

2 figures

Scientific paper

10.1103/PhysRevD.74.114018

Hybrid mesons are exotic mesons in which the color field is not in its ground state. Their understanding deserves interest from a theoretical point of view, because it is intimately related to nonperturbative aspects of QCD. In this work, we analyze and compare two different descriptions of hybrid mesons, namely a two-body $q\bar q$ system with an excited string, or a three-body $q\bar q g$ system. In particular, we show that the constituent gluon approach is equivalent to an effective excited string in the heavy hybrid sector. Instead of a numerical resolution, we use the auxiliary field technique. It allows to find simplified analytical mass spectra and wave functions, and still leads to reliable qualitative predictions. We also investigate the light hybrid sector, and found a mass for the lightest hybrid meson which is in satisfactory agreement with lattice QCD and other effective models.

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