TY - JOUR
T1 - Exotic mesons in quenched lattice QCD
AU - Bernard, Claude
AU - Hetrick, James E.
AU - DeGrand, Thomas A.
AU - Wingate, Matthew
AU - DeTar, Carleton
AU - McNeile, Craig
AU - Gottlieb, Steven
AU - Heller, Urs M.
AU - Rummukainen, Kari
AU - Sugar, Bob
AU - Toussaint, Doug
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 1997
Y1 - 1997
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevD.56.7039
DO - 10.1103/PhysRevD.56.7039
M3 - Article
AN - SCOPUS:0642304546
VL - 56
SP - 7039
EP - 7051
JO - Physical Review D
JF - Physical Review D
SN - 0556-2821
IS - 11
ER -