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

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

1997-03-24

arxiv.org/abs/hep-ph/9703395v1

Phys.Rev.D55:7107-7113,1997

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1103/PhysRevD.55.7107

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.

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