Excited flux tube from q anti-q g hybrid mesons

Mar, 2007
10 pages
Published in:
  • Eur.Phys.J.A 32 (2007) 123-126
e-Print:

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Abstract:
In the framework of quark models, hybrid mesons are either seen as two-body qqˉq\bar q systems with an excited flux tube connecting the quark to the antiquark or as three-body qqˉgq\bar q g systems including a constituent gluon. In this work we show that, starting from the three-body wave function of the qqˉgq\bar q g hybrid meson in which the gluonic degrees of freedom are averaged, the excited flux tube picture emerges as an equivalent qqˉq\bar 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.
  • 12.39.Ki
  • 12.39.Pn
  • 12.39.Mk
  • Hybrid mesons
  • Potential models
  • Relativistic quark model
  • meson: hybrid
  • bound state: (quark antiquark gluon)
  • bound state: wave function
  • flux tube: excited state