Abstract
Abstract.In the framework of quark models, hybrid mesons are either seen as two-body q¯ systems with an excited flux tube connecting the quark to the antiquark or as three-body q¯g systems including a constituent gluon. In this work we show that, starting from the three-body wave function of the q¯g hybrid meson in which the gluonic degrees of freedom are averaged, the excited flux tube picture emerges as an equivalent q¯ potential. This equivalence between the excited flux tube and the constituent-gluon approach is confirmed for heavy hybrid mesons but, for the first time, it is shown to hold in the light sector too, provided the contribution of the quark dynamics is correctly taken into account.
Highlights
Very good descriptions of mesons and baryons, even light ones, are obtained within the framework of potential models with constituent quarks
The second approach assumes that the hybrid meson is a three-body system formed of a quark, an antiquark, and a constituent gluon
It seems relevant to work in this framework. It was suggested in ref. [8] that, in the static quark limit, the constituent-gluon picture is equivalent to the excited flux tube one, the total energy of the constituent gluon being equal to the energy contained in the excited string
Summary
Very good descriptions of mesons and baryons, even light ones, are obtained within the framework of potential models with constituent quarks. The second approach assumes that the hybrid meson is a three-body system formed of a quark, an antiquark, and a constituent gluon. Assuming the Casimir scaling hypothesis, it can be shown that the flux tubes in a qqg system are two fundamental straight strings linking the gluon to the quark and to the antiquark [7], in agreement with refs.
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