Abstract:
We argue that the recent BaBar data on γ→πγ→π e.m. transition form factor at large photon virtuality supports the idea that pion distribution amplitude (DA) is close to unity with ϕ′π(0)/6≫1 at a normalization point of μ=0.6÷0.8 GeV. Such pion DA can be obtained in the effective chiral quark model. The possible flat shape of the pion DA implies that the standard expansion of the DA in Gegenbauer polynomials can be divergent. On basis of chiral models we predict that the two-pion DA should exhibit anomalous endpoint behaviour for pions in the S-wave and that such feature is absent for higher partial waves. The latter implies that the ρ,f2, etc. meson DAs have no anomalous endpoint behaviour. Possible implications of such pion DA for other hard exclusive processes are shortly discussed.
Citation:
M. V. Polyakov, “On the Pion Distribution Amplitude Shape”, Pis'ma v Zh. Èksper. Teoret. Fiz., 90:4 (2009), 250–253; JETP Letters, 90:4 (2009), 228–231
Shen Yu.-L., Zou Zh.-T., Li Y., Phys. Rev. D, 100:1 (2019), 016022
Bali G.S., Braun V.M., Buerger S., Goeckeler M., Gruber M., Hutzler F., Korcyl P., Schaefer A., Sternbeck A., Wein Ph., RQCD Collaboration, J. High Energy Phys., 2019, no. 8, 065
Weil E. Eichmann G. Fischer Ch.S. Williams R., Fairness 2017: Fair Next Generation Scientists 2017, Journal of Physics Conference Series, 1024, IOP Publishing Ltd, 2018, UNSP 012032