Leading-twist pion and kaon distribution amplitudes in the gauge-invariant nonlocal chiral quark model from the instanton vacuum

Abstract

We investigate the leading-twist light-cone distribution amplitudes for the pion and kaon based on the gauge-invariant nonlocal chiral quark model from the instanton vacuum in the presence of external axial-vector currents. We find that the nonlocal contribution from the gauge invariance has much effects on the pion distribution amplitudes, while it changes mildly the kaon ones. We also study the Gegenbauer moments of the distribution amplitudes and compare them with the empirical analysis of the CLEO data.

arXiv comment14 pages, 10 figures

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Cited by in corpus (31)

• On the Pion Distribution Amplitude Shape
• Transition form factors of the pion in light-cone QCD sum rules with next-to-next-to-leading order contributions
• Parton-distribution functions for the pion and kaon in the gauge-invariant nonlocal chiral-quark model
• Pion and Kaon parton distributions in the QCD instanton vacuum
• Electromagnetic form factors of the pion and kaon from the instanton vacuum
• Quasi-distribution amplitudes for pion and kaon via the nonlocal chiral-quark model
• Pion-photon transition form factor in LCSR and tests of asymptotics
• SU_f(3)-Symmetry Breaking Effects of the B\to K Transition Form Factor in the QCD Light-Cone Sum Rules
• 1/N_c corrections to the magnetic susceptibility of the QCD vacuum
• Spin structure of the pion from the instanton vacuum
• Covariant Non-local Chiral Quark Model and Pion-photon Transition Distribution Amplitudes
• Heavy and light meson wavefunctions
• Chiral magnetic effect at low temperature
• The pion distribution amplitude and the pion-photon transition form factor in a nonlocal chiral quark model
• Fragmentation functions and parton distribution functions for the pion with the nonlocal interactions
• Kaon semileptonic decay (K_{l3}) form factors from the instanton vacuum
• Fragmentation and quark distribution functions for the pion and kaon with explicit flavor-SU(3)-symmetry breaking
• Kaon Electromagnetic Form Factor within the $k_T$ Factorization Formalism and It's Light-Cone Wave Function
• Exclusive processes $e^{+}{e}^{-}\to VP$ in $k_T$ factorization
• Scalar susceptibility from the instanton vacuum with meson-loop corrections
• Extended nonlocal chiral-quark model for the D- and B-meson weak-decay constants
• The quark-jet contribution to the fragmentation functions for the pion and kaon with the nonlocal interactions
• Vector and Axial-vector form factors in radiative kaon decay and flavor SU(3) symmetry breaking
• Loop corrections to pion and kaon neutrinoproduction
• Photon Distribution Amplitudes in nonlocal chiral quark model
• Heavy baryon production with an instanton interaction
• Unpolarized fragmentation function for the pion and kaon via the nonlocal chiral-quark model
• Off-shell photon distribution amplitudes in the low-energy effective theory of QCD
• Heavy pseudoscalar-meson decay constants with strangeness from the extended nonlocal chiral-quark model
• Studies on photo- and electro-productions of $\Lambda (1405)$ via ${\gamma }^{(\ast )}p\to K^{\ast +}{\pi }^0{\Sigma }^0$
• Minimal Ward-Takahashi Vertices and Pion Light Cone Distribution Amplitudes from Gauge Invariant, Nonlocal, Dynamical Quark Model