Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-05-19
Phys. Rev. D 82, (2010), 034024
Physics
High Energy Physics
High Energy Physics - Phenomenology
19 pages, 6 figures, 2 tables. Slightly changed, references updated. To be published in Phys.Rev. D
Scientific paper
10.1103/PhysRevD.82.034024
The new BABAR data on the pion-photon transition form factor arouses people's new interests on the determination of pion distribution amplitude. To explain the data, we take both the leading valence quark state's and the non-valence quark states' contributions into consideration, where the valence quark part up to next-to-leading order is presented and the non-valence quark part is estimated by a phenomenological model based on its limiting behavior at both $Q^2\to 0$ and $Q^2\to\infty$. Our results show that to be consistent with the new BABAR data at large $Q^2$ region, a broader other than the asymptotic-like pion distribution amplitude should be adopted. The broadness of the pion distribution amplitude is controlled by a parameter $B$. It has been found that the new BABAR data at low and high energy regions can be explained simultaneously by setting $B$ to be around 0.60, in which the pion distribution amplitude is closed to the Chernyak-Zhitnitsky form.
Huang Tao
Wu Xing-Gang
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