https://doi.org/10.1140/epja/i2007-10379-4
Letter
Excited flux tube from q¯g hybrid mesons
1
Groupe de Physique Nucléaire Théorique, Université de Mons-Hainaut, Académie universitaire Wallonie-Bruxelles, Place du Parc 20, BE-7000 Mons, Belgium
2
Laboratoire de Physique Subatomique et de Cosmologie, CNRS/IN2P3, Avenue des Martyrs 53, FR-38026, Grenoble-Cedex, France
Received:
27
April
2007
Accepted:
16
May
2007
Published online:
23
May
2007
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.
PACS: 12.39.Mk Glueball and nonstandard multi-quark/gluon states – / 12.39.Ki Relativistic quark model – / 12.39.Pn Potential models –
© The Author(s) 2007
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