Anomalous γ→3π amplitude in a bound-state approach

Bistrovic, Bojan; Klabučar, Dubravko

doi:10.1016/s0370-2693(00)00241-0

Cited by 20 publications

(29 citation statements)

References 19 publications

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“…[15,25,26,39,40,41,42,55], since the incorporation of the quark-photon interactions is the same as adopted there through the scheme of a generalized impulse approximation, where all propagators, bound-state vertices, and quark-photon vertices are dressed. (In the present application, this impulse approximation is illustrated by the qq pseudoscalar-γγ triangle graph in Fig.…”

Section: Bmentioning

confidence: 99%

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ηandη′mesons and dimension 2 gluon condensate⟨A2⟩

Kekez

Klabučar

2006

Phys. Rev. D

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The study of light pseudoscalar quark-antiquark bound states in the Dyson-Schwinger approach with the effective QCD coupling enhanced by the interplay of the dimension 2 gluon condensate A 2 and dimension 4 gluon condensate F 2 , is extended to the η-η ′ complex. We include the effects of the gluon axial anomaly into the Dyson-Schwinger approach to mesons. The calculated masses, mixing and two-photon decay widths of η and η ′ mesons are in agreement with experiment. Also, in a model-independent way, we give the modification of the Gell-Mann-Okubo and Schwinger nonet relations due to the interplay of the gluon anomaly and SU(3) flavor symmetry breaking.

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Section: Bmentioning

confidence: 99%

“…We employ the Ball-Chiu vertex [60], which is widely used (e.g., see Refs. [20,21,22,25,39,40,41,42,55] and references therein).…”

Section: Bmentioning

confidence: 99%

ηandη′mesons and dimension 2 gluon condensate⟨A2⟩

Kekez

Klabučar

2006

Phys. Rev. D

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“…and of interactions in Refs. [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47]. There is nevertheless a need to return to this theme; namely, a programme aimed at charting the interaction between lightquarks by explicating the impact of differing assumptions about the behaviour of the Bethe-Salpeter kernel on hadron elastic and transition form factors [48].…”

mentioning

confidence: 99%

πandρmesons, and their diquark partners, from a contact interaction

et al. 2011

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We present a unified Dyson-Schwinger equation treatment of static and electromagnetic properties of pseudoscalar and vector mesons, and scalar and axial-vector diquark correlations, based upon a vector-vector contact-interaction. A basic motivation for this study is the need to document a comparison between the electromagnetic form factors of mesons and those diquarks which play a material role in nucleon structure. A notable result, therefore, is the large degree of similarity between related meson and diquark form factors. The simplicity of the interaction enables computation of the form factors at arbitrarily large spacelike-Q 2 , which enables us to expose a zero in the ρ-meson electric form factor at z, where rρ, rD are, respectively, the electric radii of the ρ-meson and deuteron.

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“…On the other hand, the momentum dependence, i.e., the growth of the form factor F 3π γ (p 1 , p 2 , p 3 ) from its soft-point limit A 3π γ turned out to be so slow (after all six permutations of the graph in Fig. 1 were taken into account properly [29]), that the Serpukhov data point could not possibly be explained in that approach. (Also the related processes η, η ′ → 2πγ could hardly be reconciled with such a weak momentum dependence [29] of the γ * → 3π form factor.)…”

Section: A Insight From the Dyson-schwinger Approachmentioning

confidence: 99%

Axial anomaly and the interplay of quark loops with pseudoscalar and vector mesons in theγ*→π+π0π−process

Benić

Klabučar

2012

Phys. Rev. D

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Motivated by the ongoing measurements of the Primakoff process π − γ * → π − π 0 by COMPASS collaboration at CERN, the transition form factor for the canonical anomalous process γ * → π + π 0 π − is calculated in a constituent quark loop model. The simplest contribution to this process is the quark "box" amplitude. In the present paper we also explicitly include the vector meson degrees of freedom, i.e., the ρ and the ω, thus giving rise to additional, resonant contributions. We find that in order to satisfy the axial anomaly result, a further subtraction in the resonant part is needed. The results are then compared with the vector meson dominance model as well as the Dyson-Schwinger calculations, the chiral perturbation theory result, and the available data.

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Anomalous γ→3π amplitude in a bound-state approach

Cited by 20 publications

References 19 publications

ηandη′mesons and dimension 2 gluon condensate⟨A2⟩

ηandη′mesons and dimension 2 gluon condensate⟨A2⟩

πandρmesons, and their diquark partners, from a contact interaction

Axial anomaly and the interplay of quark loops with pseudoscalar and vector mesons in theγ*→π+π0π−process

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