Spin structure of the pion from the instanton vacuum

Abstract

We investigate the spin structure of the pion within the framework of the nonlocal chiral quark model from the instanton vacuum. We first evaluate the tensor form factors of the pion for the first and second moment (n=1,2) and compare it with the lattice data. Combining the tensor form factor of the pion with the electromagnetic one, we determine the impact-parameter dependent probability density of transversely polarized quarks inside the pion. It turns out that the present numerical results for the tensor form factor as well as those for the probability density are in good agreement with the lattice data. We also discuss the distortion of the spatial distribution of the quarks in the transverse plane inside the pion.

9 pages, 10 figures, accepted for publication in Phys. Lett. B

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• Generalized parton distributions and spin structures of light mesons from a light-front Hamiltonian approach
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• Fragmentation and quark distribution functions for the pion and kaon with explicit flavor-SU(3)-symmetry breaking
• Generalized form factors and spin structures of the kaon
• The quark-jet contribution to the fragmentation functions for the pion and kaon with the nonlocal interactions
• Scalar, Vector and Tensor Form Factors of Pion and Kaon
• Exploring the Pion phenomenology within a fully covariant constituent quark model
• Unpolarized fragmentation function for the pion and kaon via the nonlocal chiral-quark model
• The meson polarized distribution function and mass dependence of the nucleon parton densities