Photon--meson transition form factors $γπ^0$, $γη$ and $γη'$ at low and moderately high $Q^2$

Details Photon--meson transition form factors $γπ^0$, $γη$ and $γη'$ at low and moderately high $Q^2$ Photon--meson transition form factors $γπ^0$, $γη$ and $γη'$ at low and moderately high $Q^2$

1996-07-02

arxiv.org/abs/hep-ph/9607215v1

Phys.Rev. D55 (1997) 2918-2930

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages in twocoloumn RevTex, 7 .eps figures automatically inserted by epsfig.sty

Scientific paper

10.1103/PhysRevD.55.2918

We study photon--meson transition form factors $\gamma^*(Q^2)\gamma \to \pi^0,\eta,\eta'$ at low and moderately high virtualities $Q^2$ of one of the photons, the second photon being real. For the description of the form factor at low $Q^2$, a nontrivial quark--antiquark $(q\bar q)$ structure of the photon in the soft region is assumed, i.e. the photon is treated much like an ordinary vector meson. At large $Q^2$, along with a perturbative tail of the soft wave function, as it is for a hadron, the photon wave function contains also a standard QED point-like $q\bar q$ component. The latter provides the $1/Q^2$ behavior of the transition form factor at large $Q^2$ in accordance with perturbative QCD. Using the experimental results on $\gamma\pi^0$ form factor, we reconstruct the soft photon wave function which is found to have the structure similar to pion's, which has been formerly determined from a study of the elastic pion form factor. Assuming the universality of the ground--state pseudoscalar meson wave functions we calculate the transition form factors $\gamma\eta$, $\gamma\eta'$ and partial widths $\eta\to\gamma\gamma$, $\eta'\to\gamma\gamma$, in a perfect agreement with data.

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