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Effective Chiral Theory for Radiative Decays of Mesons

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Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
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E.Gedalin, A. Moalem, L.Razdolskaya

Nuclear Theory · Submitted 29 Jun 2000

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Taking $F_\pi = 93 MeV$, a global fit to decay width data yields F_K/F_\pi = 1.16 \pm 0.11, F_\eta/F_\pi = 1.14\pm 0.04, F_{\eta'}/F_\pi = 1.09 \pm 0.04, c_W = -0.19 \pm0.03, \theta_P =-(15.4 \pm 1.8)^o.

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arXiv IDnucl-th/0006073 (version 2)
Pith IDK3QBLD7I, Pith's permanent record of this paper and its review
CitationA. Moalem, E.Gedalin, L.Razdolskaya. "Effective Chiral Theory for Radiative Decays of Mesons." arXiv:nucl-th/0006073 (2000). https://pith.science/paper/K3QBLD7I
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,692 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.08 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.99 · compares with prior results 0.08 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

An extended $U(3)_L\bigotimes U(3)_R$ chiral theory which includes pseudoscalar and vector meson nonets as dynamic degrees of freedom is presented. We combine a hidden symmetry approach with a general procedure of including the $\eta'$ meson into chiral theory. The $U(3)_L\bigotimes U(3)_R$ and the SU(3) symmetries are broken by the mechanism based on quark mass matrix. Meson radiative decay widths are parameterized in terms of a single and real $\eta-\eta'$ mixing angle $\theta_P$, a U(3)_V symmetry breaking scale parameter c_W, and the radiative decay constants $F_\pi, F_K, F_\eta, F_{\eta'}$, for the $\pi, \eta$, K, $\eta '$ mesons, respectively. Taking $F_\pi = 93 MeV$, a global fit to decay width data yields F_K/F_\pi = 1.16 \pm 0.11, F_\eta/F_\pi = 1.14\pm 0.04, F_{\eta'}/F_\pi = 1.09 \pm 0.04, c_W = -0.19 \pm0.03, \theta_P =-(15.4 \pm 1.8)^o.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 An extended $U(3)_L\bigotimes U(3)_R$ chiral theory which includes pseudoscalar and vector meson nonets as dynamic degrees of freedom is presented. contribution 0.95 0.86 0.08 asserted 1.00
s1 We combine a hidden symmetry approach with a general procedure of including the $\eta'$ meson into chiral theory. method 0.82 0.88 0.06 asserted 0.99
s2 The $U(3)_L\bigotimes U(3)_R$ and the SU(3) symmetries are broken by the mechanism based on quark mass matrix. method 0.85 0.31 0.05 asserted 1.00
s3 Meson radiative decay widths are parameterized in terms of a single and real $\eta-\eta'$ mixing angle $\theta_P$, a U(3)_V symmetry breaking scale parameter c_W, and the radiative decay constants $F_\pi, F_K, F_\eta, F_{\eta'}$, for the $\pi, \eta$, K, $\eta '$ mesons, respectively. method 0.90 0.72 0.14 asserted 1.00
s4 Taking $F_\pi = 93 MeV$, a global fit to decay width data yields F_K/F_\pi = 1.16 \pm 0.11, F_\eta/F_\pi = 1.14\pm 0.04, F_{\eta'}/F_\pi = 1.09 \pm 0.04, c_W = -0.19 \pm0.03, \theta_P =-(15.4 \pm 1.8)^o. result 1.00 0.94 0.53 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from analysis of existing data 0.99.

What was examined, and what was not

sources read
  • arXiv listing abstract v2
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

An extended $U(3)_L\bigotimes U(3)_R$ chiral theory which includes pseudoscalar and vector meson nonets as dynamic degrees of freedom is presented. We combine a hidden symmetry approach with a general procedure of including the $\eta'$ meson into chiral theory. The $U(3)_L\bigotimes U(3)_R$ and the SU(3) symmetries are broken by the mechanism based on quark mass matrix. Meson radiative decay widths are parameterized in terms of a single and real $\eta-\eta'$ mixing angle $\theta_P$, a U(3)_V symmetry breaking scale parameter c_W, and the radiative decay constants $F_\pi, F_K, F_\eta, F_{\eta'}$, for the $\pi, \eta$, K, $\eta '$ mesons, respectively. Taking $F_\pi = 93 MeV$, a global fit to decay width data yields F_K/F_\pi = 1.16 \pm 0.11, F_\eta/F_\pi = 1.14\pm 0.04, F_{\eta'}/F_\pi = 1.09 \pm 0.04, c_W = -0.19 \pm0.03, \theta_P =-(15.4 \pm 1.8)^o.

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