# Gluon admixtures in the 0 - neutral mesons: a survey of the quark-line rule

TL;DR: Gluon admixtures in neutral pseudoscalar mesons are considered to test the quark-line rule for the reactions pi p to eta Delta, eta n, pp to pi pi eta, etc as mentioned in this paper.

Abstract: Gluon admixtures in neutral pseudoscalar mesons are considered to test the quark-line rule for the reactions pi p to eta Delta , eta n, pp to pi pi eta , etc. It is found that the experimental data on these reactions support the possibility of a small gluonium admixture in the eta and eta ' states. The results have also been used to predict some electromagnetic decay rates of the pseudoscalar glueball states l(1440) along with those of eta and eta '.

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TL;DR: In this article, the quarkonia-glueball structure of η, η′, and η(1440) is phenomenologically deduced from the fit to the updated world average data concerning the above mentioned decays.

Abstract: Considering corrections due to SU(3) flavor symmetry breaking, non-ideal ω - ϕ mixing, double OZI and electromagnetic amplitudes of J/ψ decays into a vector and a pseudo-scalar meson, and three-gluon-annihilation amplitudes of radiative decays of J/ψ into a pseudoscalar meson, we investigate two-photon decays of pseudoscalar mesons, radiative decays between pseudoscalar and vector mesons, decays of J/ψ into a vector and a pseudoscalar meson, and radiative decays of J/ψ into a pseudoscalar meson. The quarkonia-glueball structure of η, η′ and η(1440) is phenomenologically deduced from the fit to the updated world average data concerning the above mentioned decays. We find that η (η′) contains about 48.7%, 47.6%, 3.7% (32.9%, 48.8%, 18.3%) non-strange quarkonium, strange quarkonium and glueball components, respectively, and that η(1410) is mainly a glueball state (about 78% glueball component), mixed with 18.5% non-strange quarkonium and 3.5% strange quarkonium. We predict that Br(J/ψ→γη) : Br(J/ψ→γη′) : Br (J/ψ→γη(1410)) = 1.0:5.2:8.0, which can be tested at BEPC/BES with 50 million J/ψ events.

3 citations

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TL;DR: In this article, the Coulomb gauge was used to ensure that only transverse gluons can make a contribution, and a significant quark-antiquark-gluon component was found in the meson wavefunctions.

Abstract: It is argued that retarded/advanced effects of gluon exchange must be taken into account when mesons consisting of light quarks are calculated within the bag model. Good results are obtained for mesons up to 1800 MeV using the coupling constant and the bag radius as the only two parameters. The Coulomb gauge is used to ensure that only transverse gluons can make a contribution. A significant quark-antiquark-gluon component is found in the meson wavefunctions.

3 citations

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TL;DR: In this article, it was pointed out that given the present limit on Γ ( ω → ιγ ), such a possibility appears unlikely, and it was shown that Γ(ω → ϕγ) appears unlikely.

Abstract: Recently, Chanowitz has derived two constraints which become powerful if the experimental limits on Γ(ι → γγ)/ B(ι → κ κπ) 2 and Γ(ι → ϕγ) · B(ι → κ κπ) are improved. It is pointed out that given the present limit on Γ ( ω → ιγ ), such a possibility appears unlikely.

2 citations

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TL;DR: In this article, the authors generalized the Pisarsky-Wilczek model of studying the UA(1) phase transition in π0, η and η′ system by incorporating the chiral phase transition.

Abstract: We have generalized the Pisarsky–Wilczek model of studying the UA(1) phase transition in π0, η and η′ system by incorporating the chiral phase transition. The mass-squared matrix of the neutral pseudoscalar mesons is revisited explicitly from the chiral effective action which necessitates the mixing among the unmixed states to get the physical states. The derivation of the mass spectra of the neutral pseudoscalar mesons shows that apart from their masses, the mixing angles also become temperature dependent. Based on the dilute instanton gas approximation we show that, the UA(1) phase transition along with the chiral phase transition plays an important role in the process of hadronization of the quark–gluon plasma with the quarks of three flavors.

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TL;DR: In this article, the authors used radiative transitions involving neutral mesons with J/sup P/ = 0/sup -/ (eta,eta,iota(1440)) and 2/sup +/ (f,f,theta(1640)) to provide information on the light-quark content of these mesons, and to test predictions of models in which these states are quarkonium-gluonium mixtures.

Abstract: Radiative transitions involving neutral mesons with J/sup P/ = 0/sup -/ (eta,eta',iota(1440)) and 2/sup +/ (f,f',theta(1640)) are used to provide information on the light-quark content of these mesons, and to test predictions of models in which these states are quarkonium-gluonium mixtures. Some suggested observations include (l) phi..-->..eta'..gamma.., predicted to have a branching ratio of 7 x 10/sup -5/ in the standard quarkonium picture of eta', (2) f'..--> gamma gamma.., predicted to have a partial width > or approx. =200 eV if f' = ss-bar but very sensitive to possible destructive interference from small nonstrange-quark admixtures, and (3) iota(1440)..--> gamma gamma.. and theta(1640)..--> gamma gamma.., which will be easily detectable unless these states are almost totally free of quarkonium admixtures.

101 citations

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CERN

^{1}TL;DR: In this article, the masses and the decay amplitudes of the 2++, 0−+ and 0++ gluonia in an SU(3)c Yang-Mills theory were determined.

Abstract: We determine the masses and the decay amplitudes of the 2++, 0−+ and 0++ gluonia in anSU(3)c Yang-Mills theory. We estimate the so-called topological susceptibility of theU(1) sector. We discuss theSU(3)F breaking effects to the η′(896) massrelation from current algebra and predict the η′ parameter values.

62 citations

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TL;DR: In this paper, the authors extended the conventional models of η-η′ mixing to include radial excitations in the mass matrix, and minimized the number of free parameters by using the Quigg-Rosner logarithmic potential to obtain properties of radially excited states.

Abstract: Conventional models of η-η′ mixing are extended to include radial excitations in the mass matrix. The number of free parameters is minimized by using the Quigg-Rosner logarithmic potential to obtain properties of radially excited states. The remaining parameters are fixed by fitting observed masses. The wave functions obtained by diagonalizing the mass matrix give an η similar to the conventional description, 99% ground state and mainly octet but a very different η′ with a 50% admixture of radial excitations, and the s s configuration dominant in the ground-state component. This η′ wave function modifies the bad quark-model predictions for peripheral production by introducting form factors which lead to new predictions in agreement with experiment. Additional isoscalar pseudoscalar states are predicted around 1280 and 1500 MeV. Applications to radiative vector meson decays and charmonium are also discussed.

50 citations