Pion Form Factors at Intermediate Momentum Transfer in a Covariant Approach

Details Pion Form Factors at Intermediate Momentum Transfer in a Covariant Approach Pion Form Factors at Intermediate Momentum Transfer in a Covariant Approach

1993-09-16

arxiv.org/abs/hep-ph/9309276v1

Int.J.Mod.Phys.A11:655-676,1996

Physics

High Energy Physics

High Energy Physics - Phenomenology

21 pages, REVTeX 3.0 file, (uuencoded postscript files of 10 figures appended), ADP-93-216/T134

Scientific paper

10.1142/S0217751X96000298

We study the pion electromagnetic and $\gamma^* + \pi^0 \to \gamma$ transition form factors at intermediate momentum transfer. We calculate soft, nonperturbative corrections to the leading perturbative amplitudes which arise from the $q\bar q$-component of the pion wave function. We work in Minkowski space and use a Lorentz covariant, gauge-invariant generalized perturbative integral representation for the $q\bar q$ amplitudes. For the transition form factor we find relative insensitivity to the detailed nonperturbative structure of the wavefunction for $|q^2|\gsim 10$~GeV$^2$, whereas considerable sensitivity is found for the electromagnetic form factor.

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