Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1994-10-17
J.Phys.G22:45-58,1996
Physics
High Energy Physics
High Energy Physics - Phenomenology
21 pages, REVTEX, 5 figures (appended as uuencoded compressed tar file) preprint WU-B 94-28, BUGH Wuppertal
Scientific paper
10.1088/0954-3899/22/1/004
We report results on the $\pi$-$\gamma$ transition form factor obtained within the hard scattering approach including transverse momentum effects and Sudakov corrections. The results clearly favor distribution amplitudes close to the asymptotic form, $\sim x_1x_2$, and disfavor distribution amplitudes which are strongly concentrated in the end-point regions. This observation is backed by information on the elastic form factor of the pion and on its valence quark distribution function. Applications of our approach to the $\eta$-$\gamma$ and $\eta^\prime$-$\gamma$ transition form factors are discussed as well. Combining the form factor data with the two-photon decay widths, we determine the $\eta$ and the $\eta^\prime$ decay constants and the $\eta$-$\eta^\prime$ mixing angle.
Jakob Rainer
Kroll Peter
Raulfs M.
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