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Exotic mesons in quenched lattice QCD
High Energy Physics - Lattice · Submitted 11 Jul 1997
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim 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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The abstract, sentence by sentence
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 q-bar-q mesons. However, they can also have exotic quantum numbers inaccessible to q-bar-q 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 (q-bar-q-bar-q-q) 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 c-bar-c-g 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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | 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). | background 1.00 | 0.05 | 0.04 | hedged possibility 0.66 |
| s1 | In general, these states would mix strongly with the conventional q-bar-q mesons. | background 1.00 | 0.06 | 0.03 | hedged possibility 0.81 |
| s2 | However, they can also have exotic quantum numbers inaccessible to q-bar-q mesons. | background 1.00 | 0.05 | 0.05 | hedged possibility 0.83 |
| s3 | Confirmation of such states would give information on the role of "dynamical" color in low energy QCD. | background 0.68 | 0.05 | 0.05 | asserted 0.56 |
| s4 | In the quenched approximation we present a lattice calculation of the masses of mesons with exotic quantum numbers. | contribution 0.97 | 0.97 | 0.09 | asserted 1.00 |
| s5 | These hybrid mesons can mix with four quark (q-bar-q-bar-q-q) states. | background 0.84 | 0.12 | 0.05 | hedged possibility 0.72 |
| s6 | The quenched approximation partially suppresses this mixing. | limitation 0.68 | 0.39 | 0.05 | asserted 0.97 |
| s7 | Nonetheless, our hybrid interpolating fields also couple to four quark states. | limitation 0.89 | 0.71 | 0.06 | asserted 1.00 |
| s8 | Using a four quark source operator, we demonstrate this mixing for the 1-+ meson. | result 0.52 | 0.96 | 0.09 | asserted 1.00 |
| s9 | 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 c-bar-c-g hybrid mesons. | method 0.98 | 0.96 | 0.07 | asserted 0.99 |
| s10 | 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. | result 1.00 | 0.96 | 0.55 | asserted 1.00 |
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The paper
Original 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 q-bar-q mesons. However, they can also have exotic quantum numbers inaccessible to q-bar-q 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 (q-bar-q-bar-q-q) 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 c-bar-c-g 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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References
How the literature uses it
18 arXiv papers cite this in 22 sentences
Papers citing it · 8 sentences without a confident label
Uses its data or values 3 papers
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On the other hand, many efforts from numerical lattice QCD calculations [ref] have been devoted to predict the mass spectrum of light hybrids with the results that the mass of isovector $1^-+$ hybrid meson has a mass around 1.7-2.1 GeV, while the mass of the isoscalar is around 2.1-2.3 GeV [ref] .
Decay properties of light $1^{-+}$ hybrids · Introduction · 0.84
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The MILC collaboration extracted the mass of the light $1^-+$ hybrid as $∼1.98$ GeV using the quenched lattice approximation [ref] .
Radiative production and decays of the exotic $\eta_1^\prime(1855)$ and its siblings · Introduction · 1.00
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Also the interpretation as a $cc̅$-gluon has been proposed, though the predicted mass of such a state, around 4.3-4.5 GeV from lattice QCD computations [ref] , is significantly larger than the measured value.
AdS-QCD quark-antiquark potential, meson spectrum and tetraquarks · Tetraquark spectrum · 0.83
Cites it as background 11 papers
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$QQ̅g$ hybrids, particularly the charmonium-like hybrids $cc̅g$, have also been extensively investigated in lattice QCD [ref] .
Color halo scenario of charmonium-like hybrids · Introduction · 0.90
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Lattice QCD is an ab initio non-perturbative approach for the study of strong interaction in the low energy scale, and is applied extensively to the investigation of hybrids [ref] .
Strangeonium-like hybrids on the lattice · Introduction · 0.92
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Since perturbative quantum chromodynamics (QCD) is not applicable in the low-energy regime, hadron spectroscopy relies on non-perturbative methods, including lattice QCD (LQCD) [ref] , phenomenological models, such as diquark models [ref] , chiral effective field theory [ref] , QCD sum rules [ref] , hadronic molecular models [ref] , etc., as well as symmetry-based analyses [ref] .
Symmetry Analysis of Compact Tetraquark States and Implications for the Fully Charmed Candidates $X(6600)$, $X(6900)$, and $X(7100)$ · Introduction · 0.88
Discussion
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