High Energy Physics - Phenomenology · arXiv:hep-ph/0408085 v3 · submitted 6 Aug 2004
A covariant constituent quark/gluon model for the glueball-quarkonia content of scalar-isoscalar mesons
The paper says
“Model predictions for the two-photon decay rates in the covariant mixing scheme are indicated.”
from the abstract · picked out as the main claim by a classifier
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The paper
Abstract
We analyze the mixing of the scalar glueball with the scalar-isoscalar quarkonia states above 1 GeV in a non-local covariant constituent approach. Similarities and differences to the point-particle Klein-Gordon limit and to the quantum mechanical case are elaborated. Model predictions for the two-photon decay rates in the covariant mixing scheme are indicated.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: hedged possibility 0.98
What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.10 · human participants 0.01 · controlled comparison 0.17 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.83 · mentions code or data availability 0.02
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v3). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| We analyze the mixing of the scalar glueball with the scalar-isoscalar quarkonia states above 1 GeV in a non-local covariant constituent approach. | contribution 0.95 | 0.94 | 0.11 | asserted 0.95 |
| Similarities and differences to the point-particle Klein-Gordon limit and to the quantum mechanical case are elaborated. | contribution 0.61 | 0.78 | 0.04 | asserted 0.87 |
| Model predictions for the two-photon decay rates in the covariant mixing scheme are indicated. | result 0.83 | 0.84 | 0.15 | hedged possibility 0.98 |
What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from proof or derivation 0.74
What was examined, and what was not
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- arXiv listing abstract v3
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- T body sentences
- C citations
- R cross-paper relations
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,905 input tokens, $0.0001 reported.
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Cited by 4 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- Lattice QCD study of color correlations between static quarks with gluonic excitations hep-lat · Nov 2024
- QFT treatment of a bound state in a thermal gas hep-ph · Sep 2020
- Scalar nonet quarkonia and the scalar glueball: mixing and decays in an effective chiral approach hep-ph · Sep 2005
- The Experimental Status of Glueballs hep-ex · Dec 2008
How the literature uses it
15 arXiv papers cite this in 28 sentences
Papers citing it · 21 sentences without a confident label
Uses its method or tool 1 paper
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I turn to the scalar quark-antiquark field $σ$ by using the following nonlocal (NL) interaction Lagrangian [ref] [equation] where the delocalization takes account of the extended nature of the quarkonium state by the covariant vertex function $Φ(y^2)$.
Two-photon decay of a light scalar quark-antiquark state · Amplitude in the nonlocal approach · 0.92
Compares with it 1 paper
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Here notice that our result for a light quarkonium is rather in agreement with the choice $m=3$ and with $k∼2,$ see also the model in [ref] where an even smaller value of $k$ is obtained.
On the two-photon decay width of the sigma meson · Nonlocal case · 0.89
Cites it as support 1 paper
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The gauge invariant parts of the other diagrams are strongly suppressed (see discussion in Refs. [ref] ).
On the two-photon decay width of the sigma meson · Nonlocal case · 0.96
Cites it as background 3 papers
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The triangle quark loop diagram of Fig. 1 is typical for theories with quarks as effective degrees of freedom [ref] .
On the two-photon decay width of the sigma meson · Introduction · 0.97
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Models for the latter have been discussed in Refs. [ref] .
Glueball-glueball scattering and the glueballonium · Unitarization · 0.93
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NJL-type models with constituent gluons are also possible, see e.g. [ref] .
Ordinary and exotic mesons in the extended Linear Sigma Model · Introduction · 0.80
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