General Treatment of the Breaking of Chiral Symmetry and Scale Invariance in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>SU</mml:mi><mml:mo>(</mml:mo><mml:mn>3</mml:mn><mml:mo>)</mml:mo><mml:mn /><mml:mi> </mml:mi><mml:mi>σ</mml:mi></mml:math>Model

Schechter, J.; Ueda, Y.

doi:10.1103/physrevd.3.2874

Cited by 106 publications

(51 citation statements)

References 26 publications

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“…The model allows for two-quark condensates, α a = S a a as well as four-quark condensates β a = S ′ a a . Here we assume [1] isotopic spin symmetry so A 1 =A 2 and:…”

Section: Decays Of the Pseudoscalar Mesons To Two Photonsmentioning

confidence: 99%

“…A fully interacting linear sigma model depicting the low-lying scalar and pseudoscalar mesons together with a term mocking the gluon axial anomaly has been developed in [1]- [4]. This model was further extended in [5]- [8] to include a second chiral nonet with a four quark structure such that in the end the model comprised 36 mesons, 18 scalars and 18 pseudoscalars.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Electromagnetic axial anomaly in a generalized linear sigma model

Fariborz

Jora

2017

Phys. Rev. D

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We construct the electromagnetic anomaly effective term for a generalized linear sigma model with two chiral nonets, one with a quark-antiquark structure, the other one with a four quark content. We compute in the leading order of this framework the decays into two photons of six pseudoscalars: π0(137), π0(1300), η(547), η(958), η(1295) and η(1760). Our results agree well with the available experimental data.

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“…The model allows for two-quark condensates, α a = S a a as well as four-quark condensates β a = S ′ a a . Here we assume [1] isotopic spin symmetry so A 1 =A 2 and:…”

Section: Decays Of the Pseudoscalar Mesons To Two Photonsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Electromagnetic axial anomaly in a generalized linear sigma model

Fariborz

Jora

2017

Phys. Rev. D

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“…[37]. A detailed application to the low energy pseudoscalar mass spectrum was given [38] before QCD in which, among other things, it was shown how a U(1) A violating term natural in the SU(3) model could solve the η ′ problem. Such a term was later discovered to arise from instanton effects [39].…”

Section: Introductionmentioning

confidence: 99%

Toy model for two chiral nonets

Fariborz

Jora²,

Schechter³

2005

Phys. Rev. D

138

174

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Motivated by the possibility that nonets of scalar mesons might be described as mixtures of "two quark" and "four quark" components, we further study a toy model in which corresponding chiral nonets (containing also the pseudoscalar partners) interact with each other. Although the "two quark" and "four quark" chiral fields transform identically under SU(3)L× SU(3)R transformations they transform differently under the U(1)A transformation which essentially counts total (quark + antiquark) content of the mesons. To implement this we formulate an effective Lagrangian which mocks up the U(1)A behavior of the underlying QCD. We derive generating equations which yield Ward identity type relations based only on the assumed symmetry structure. This is applied to the mass spectrum of the low lying pseudoscalars and scalars. as well as their "excitations". Assuming isotopic spin invariance, it is possible to disentangle the amount of"two quark" vs."four quark" content in the pseudoscalar π, K, η type states and in the scalar κ type states. It is found that a small "four quark" content in the lightest pseudoscalars is consistent with a large "four quark" content in the lightest of the scalar κ mesons. The present toy model also allows one to easily estimate the strength of a "four quark" vacuum condensate. There seems to be a rich and interesting structure.

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“…The amplitude of this radiative decay has contributions coming from the scalar mesons f 0 (980) and a 0 (980), and Oller obtained for the branching ratio the value B(φ → K 0 K 0 γ) = 5 × 10 −8 . The radiative vector meson decays V 0 → P 0 P 0 γ were also studied using Linear Sigma Model (LσM), which is a U(3) × U(3) chiral model that incorporates the pseudoscalar and scalar meson nonets [8]. The decay φ → K 0 K 0 γ was studied within the framework of LσM by Escribano [9] who obtained the result B(φ → K 0 K 0 γ) = 7.5 × 10 −8 .…”

Section: Introductionmentioning

confidence: 99%