Twist-3 distribution amplitudes of the pion and kaon from the QCD sum rules

Huang, Tao; Zhou, Ming-Zhen; Wu, Xing-Hua

doi:10.1140/epjc/s2005-02285-x

Cited by 32 publications

(24 citation statements)

References 18 publications

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“…Twists a [5,6,10,11] but consistent with the chiral quark model predictions [9]. Again, the differences between our LFQM and QCD sum-rule may be attributed to different treatment of constituent quark masses as we discussed about the results shown in Fig.…”

Section: Modelssupporting

confidence: 76%

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Consistency of the light-front quark model with chiral symmetry in the pseudoscalar meson analysis

Choi

2015

Phys. Rev. D

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We discuss the link between the chiral symmetry of QCD and the numerical results of the lightfront quark model (LFQM), analyzing both the two-point and three-point functions of a pseudoscalar meson from the perspective of the vacuum fluctuation consistent with the chiral symmetry of QCD. The two-point and three-point functions are exemplified in this work by the twist-2 and twist-3 distribution amplitudes of a pseudoscalar meson and the pion elastic form factor, respectively. The present analysis of the pseudoscalar meson commensurates with the previous analysis of the vector meson two-point function and fortifies our observation that the light-front quark model with effective degrees of freedom represented by the constituent quark and antiquark may provide the view of effective zero-mode cloud around the quark and antiquark inside the meson. Consequently, the constituents dressed by the zero-mode cloud may be expected to satisfy the chiral symmetry of QCD. Our results appear consistent with this expectation and effectively indicate that the constituent quark and antiquark in the LFQM may be considered as the dressed constituents including the zero-mode quantum fluctuations from the vacuum.

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Section: Modelssupporting

confidence: 76%

“…We also compare our results of twist-3 DAs with other model estimates calculated at the scale µ = 1 GeV, e.g. QCD sum-rules [5,6,10,11] and the chiral quark model (χQM) [9]. As expected from the isospin symmetry, all the odd Gegenbauer and ξ moments vanish.…”

Section: Modelsmentioning

confidence: 56%

Consistency of the light-front quark model with chiral symmetry in the pseudoscalar meson analysis

Choi

2015

Phys. Rev. D

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“…Those coefficients a i n of the Gegenbauer polynomials were mainly calculated by QCD sum rules [26,[39][40][41]. Their values are…”

Section: The Distribution Amplitudes Of Pseudoscalar Mesonsmentioning

confidence: 99%

$$\gamma \gamma \rightarrow M^{+}M^{-}(M=\pi , K)$$ γ γ → M + M - ( M = π , K ) processes with twist-3 corrections in QCD

Zhou¹,

Chen²

2017

Eur. Phys. J. C

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119

164

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We study the γ γ → M + M − (M = π, K ) processes with the contributions from the two-particle twist-2 and twist-3 distribution amplitudes of pion and kaon mesons on BHL prescription in the standard hard-scattering approach. The results show that the contributions from twist-3 parts are actually not power suppressed compared with the leading-twist contributions in the low energy region. The cross sections with twist-3 corrections agree well with the experimental data in the two-photon center-of-mass energy W > 2.8 GeV and we also predict the cross section ratio, which is compatible with the experimental data from TPC and Belle.

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“…To be useful reference, we make a discussion on the three particle twist-3 LCDA, which, similar to the pseudoscalar and the vector cases [18,43,44], is defined as These equations show that all R i are less than 1%, so in usual calculations, one can safely neglect the scalar meson's three-particle twist-3 LCDA in comparison to the two-particle twist-3 LCDAs. This is different from the pion and the kaon, whose similar ratios R π (R K ) ∼ 5% [45]; then for the pionic or kaonic processes, one may need to take φ 3π or φ 3K into consideration.…”

Section: A Discussion On the Scalar's Three Particle Twist-3 Lcdasmentioning

confidence: 99%

Twist-3 light-cone distribution amplitudes of the scalar mesons within the QCD sum rules and their application to the $B \rightarrow S$ transition form factors

Han

et al. 2013

Eur. Phys. J. A

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We investigate the twist-3 light-cone distribution amplitudes (LCDAs) of the scalar mesons a0, K * 0 and f0 within the QCD sum rules. The QCD sum rules are improved by a consistent treatment of the sizable s-quark mass effects within the framework of the background field approach. Adopting the valence quark component (q1q2) as the dominant structure of the scalar mesons, our estimation for their masses are close to the measured a0(1450), K * 0 (1430) and f0 (1710). From the sum rules, we obtain the first two non-zero moments of the twist-3 LCDAs φ s,σ a 0 : ξ

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Twist-3 distribution amplitudes of the pion and kaon from the QCD sum rules

Cited by 32 publications

References 18 publications

Consistency of the light-front quark model with chiral symmetry in the pseudoscalar meson analysis

Consistency of the light-front quark model with chiral symmetry in the pseudoscalar meson analysis

$$\gamma \gamma \rightarrow M^{+}M^{-}(M=\pi , K)$$ γ γ → M + M - ( M = π , K ) processes with twist-3 corrections in QCD

Twist-3 light-cone distribution amplitudes of the scalar mesons within the QCD sum rules and their application to the $B \rightarrow S$ transition form factors

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