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FIZIKA B 13 (2004) 2, 423-432
 
ACCESSING THE PION DISTRIBUTION AMPLITUDE THROUGH THE CLEO AND E791
DATA
ALEXANDER P. BAKULEVa, S. V. MIKHAILOVa and N. G.
STEFANISb
aJoint Institute for Nuclear Research, Bogoliubov Laboratory
of Theoretical Physics, 141920, Moscow Region, Dubna, Russia
bInstitut für Theoretische Physik II, Ruhr-Universität Bochum, I-44780
Bochum, Germany
E-mail addresses: bakulev@thsun1.jinr.ru,
mikhs@thsun1.jinr.ru , stefanis@tp2.ruhr-uni-bochum.de
Received 30 September 2003; Accepted 26 April 2004
Online 14 November 2004
Using QCD perturbation theory in NLO and light-cone QCD sum rules, we extract from the
CLEO experimental results the data on the Fg*gp(Q2) transition form factor constraints, on the
Gegenbauer coefficients a2 and a4, as well as on the inverse moment áx-1ñp
of the pion distribution amplitude. We show that both the asymptotic and the
Chernyak-Zhitnitsky pion distribution amplitudes are excluded at the 3s-
and 4s-level, respectively, while the data confirm the
end-point suppressed shape of the pion DA that we previously obtained with QCD sum rules
and nonlocal condensates. These findings are also supported by the data of the Fermilab
E791 experiment on diffractive di-jet production.
PACS numbers: 11.10.Hi, 12.38.Bx, 12.38.Lg, 13.40.Gp
UDC 539.12
Keywords: transition form factor, pion distribution amplitude, QCD sum rules,
factorization, renormalization group evolution
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