Exotic mesons in quenched lattice QCD

Claude Bernard, James E. Hetrick, Thomas A. DeGrand, Matthew Wingate, Carleton DeTar, Craig McNeile, Steven Gottlieb, Urs M. Heller, Kari Rummukainen, Bob Sugar, Doug Toussaint

Research output: Contribution to journalArticlepeer-review

184 Scopus citations


Since gluons in QCD are interacting fundamental constituents just as quarks are, we expect that in addition to mesons made from a quark and an antiquark, there should also be glueballs and hybrids (bound states of quarks, antiquarks, and gluons). In general, these states would mix strongly with the conventional [Formula presented] mesons. However, they can also have exotic quantum numbers inaccessible to [Formula presented] mesons. Confirmation of such states would give information on the role of “dynamical” color in low energy QCD. In the quenched approximation we present a lattice calculation of the masses of mesons with exotic quantum numbers. These hybrid mesons can mix with four quark [Formula presented] states. The quenched approximation partially suppresses this mixing. Nonetheless, our hybrid interpolating fields also couple to four quark states. Using a four-quark source operator, we demonstrate this mixing for the [Formula presented] meson. Using the conventional Wilson quark action, we calculate both at reasonably light quark masses, intending to extrapolate to small quark mass, and near the charmed quark mass, where we calculate the masses of some [Formula presented] hybrid mesons. The hybrid meson masses are large — over 4 GeV for charmonium and more than twice the vector meson mass at our smallest quark mass, which is near the strange quark mass.

Original languageEnglish (US)
Pages (from-to)7039-7051
Number of pages13
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number11
StatePublished - 1997

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)


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