The hard scattering amplitude for the higher helicity components of the pion form factor

Abstract

For obtaining the spin space wave function of the pion meson in the light-cone formalism from the naive quark model, it is necessary to take into account Wigner rotation. Consequently there are higher helicity (${\lambda }_1+{\lambda }_2=\pm 1$) components in the light-cone spin space wave function of the pion besides the usual helicity (${\lambda }_1+{\lambda }_2=0$) components. For the pion electromagnetic form factor, we calculate the hard-scattering amplitude for the higher helicity components in the light-cone perturbation theory. It is found that the hard-scattering amplitude for the higher helicity components is of order $1/Q^4$, which is vanishingly small compared to that of the ordinary helicity component at very high $Q^2$ but should be considered in the $Q^2$ region where experimental data are available.

18 pages + 1 PostScript figure, RevTex, to appear in Phys. Rev. D

References in corpus (1)

• Melosh rotation: source of the proton's missing spin

Cited by in corpus (13)

• Meson Transition Form Factors in Light-Front Holographic QCD
• An Implication on the Pion Distribution Amplitude from the Pion-Photon Transition Form Factor with the New BABAR Data
• Sivers function in light-cone quark model and azimuthal spin asymmetries in pion electroproduction
• A Model for the Twist-3 Wave Function of the Pion and Its Contribution to the Pion Form Factor
• The Quark Orbital Angular Momentum in a Light-Cone Representation
• Pion-photon and photon-pion transition form factors in light-cone formalism
• Scale Dependence of Hadronic Wave Functions and Parton Densities
• Space-like and time-like pion-rho transition form factors in the light-cone formalism
• Large corrections to asymptotic $F_{{\eta }_c\gamma }$ and $F_{{\eta }_b\gamma }$ in the light-cone perturbative QCD
• Pion Form Factor in the $k_T$ Factorization Formalism
• Photon-meson transition form factors of light pseudoscalar mesons
• Electromagnetic Transition Form Factor of Pseudoscalar Meson and $\eta -{\eta }^{\prime }$ Mixing
• Heavy and light meson wavefunctions