Consequence of the Wigner Rotation: Perturbative QCD Analysis of the Pion Form Factor

Abstract

We analyse the perturbative contributions from the higher helicity (${\lambda }_1+{\lambda }_1=\pm 1$) components, which should be naturally contained in the light-cone wave function for the pion as a consequence of the Wigner rotation, in the QCD calculation of the pion form factor. It is pointed out that the contributions may provide the other fraction needed to fit the pion form factor data besides the perturbative contributions from the ordinary helicity components evaluated using the factorization formula with the asymptotic form of the distribution amplitude. We suggest a way to test the higher helicity state contributions.

18 Latex pages, two postscript figures included

References in corpus (4)

• Analysis of the Pion Wave Function in Light-Cone Formalism
• Melosh rotation: source of the proton's missing spin
• The Proton Spin and the Wigner Rotation
• Spin Structure of the Pion in a Light-Cone Representation

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• Photon-meson transition form factors of light pseudoscalar mesons
• Electromagnetic Transition Form Factor of Pseudoscalar Meson and $\eta -{\eta }^{\prime }$ Mixing
• The hard scattering amplitude for the higher helicity components of the pion form factor
• Heavy quarkonium 2S states in light-front quark model
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