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, William D Toussaint

Research output: Contribution to journalArticle

163 Citations (Scopus)

Abstract

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 q̄q mesons. However, they can also have exotic quantum numbers inaccessible to q̄q 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 (q̄q̄qq) 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 1-+ 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 ccg 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
Volume56
Issue number11
StatePublished - Dec 1 1997

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Lattice QCD
Mesons
Quarks
mesons
quantum chromodynamics
quarks
gluons
quantum numbers
Glueball
Charmonium
Calculate
Extrapolate
Approximation
vector mesons
approximation
Bound States

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics

Cite this

Bernard, C., Hetrick, J. E., DeGrand, T. A., Wingate, M., DeTar, C., McNeile, C., ... Toussaint, W. D. (1997). Exotic mesons in quenched lattice QCD. Physical Review D - Particles, Fields, Gravitation and Cosmology, 56(11), 7039-7051.

Exotic mesons in quenched lattice QCD. / Bernard, Claude; Hetrick, James E.; DeGrand, Thomas A.; Wingate, Matthew; DeTar, Carleton; McNeile, Craig; Gottlieb, Steven; Heller, Urs M.; Rummukainen, Kari; Sugar, Bob; Toussaint, William D.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 56, No. 11, 01.12.1997, p. 7039-7051.

Research output: Contribution to journalArticle

Bernard, C, Hetrick, JE, DeGrand, TA, Wingate, M, DeTar, C, McNeile, C, Gottlieb, S, Heller, UM, Rummukainen, K, Sugar, B & Toussaint, WD 1997, 'Exotic mesons in quenched lattice QCD', Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 56, no. 11, pp. 7039-7051.
Bernard C, Hetrick JE, DeGrand TA, Wingate M, DeTar C, McNeile C et al. Exotic mesons in quenched lattice QCD. Physical Review D - Particles, Fields, Gravitation and Cosmology. 1997 Dec 1;56(11):7039-7051.
Bernard, Claude ; Hetrick, James E. ; DeGrand, Thomas A. ; Wingate, Matthew ; DeTar, Carleton ; McNeile, Craig ; Gottlieb, Steven ; Heller, Urs M. ; Rummukainen, Kari ; Sugar, Bob ; Toussaint, William D. / Exotic mesons in quenched lattice QCD. In: Physical Review D - Particles, Fields, Gravitation and Cosmology. 1997 ; Vol. 56, No. 11. pp. 7039-7051.
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