Rapid Communication
Access by Xinjiang University

$γ^{⋆} γ \to π (η, η^{'})$ transition form factors

Dmitri Melikhov^1,2,3 and Berthold Stech⁴

¹HEPHY, Austrian Academy of Sciences, Nikolsdorfergasse 18, A-1050 Vienna, Austria
²Faculty of Physics, University of Vienna, Boltzmanngasse 5, A-1090 Vienna, Austria
³SINP, Moscow State University, 119991 Moscow, Russia
⁴ITP, Heidelberg University, Philosophenweg 16, D-69120, Heidelberg, Germany

Phys. Rev. D 85, 051901(R) – Published 30 March, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.051901

Abstract

The surprising results by the BABAR Collaboration on the $π γ$ transition form factor require new thoughts about the high- $Q^{2}$ dependence of the form factors with virtual photons. We make use of the anomaly sum rule [J. Horejsi and O. Teryaev, Z. Phys. C 65, 691 (1995).] which relates the hadron spectral density to the axial anomaly [S. Adler, Phys. Rev. 177, 2426 (1969); J. S. Bell and R. Jackiw, Nuovo Cimento A 60, 47 (1969).]. We study the quark-hadron duality relation for this sum rule and find out that the increase of the rescaled form factor $Q^{2} F_{π γ} (Q^{2}) \sim \log (Q^{2})$ suggested by the BABAR data requires the presence of a $1 / s$ -correction term in the relation between the one-loop spectral density and the hadron-continuum spectral density.

Article Text

References (26)

H. J. Behrend et al. (CELLO Collaboration), Z. Phys. C 49, 401 (1991).
J. Gronberg et al. (CLEO Collaboration), Phys. Rev. D 57, 33 (1998).
B. Aubert et al. (BABAR Collaboration), Phys. Rev. D 74, 012002 (2006).
B. Aubert et al. (BABAR Collaboration), Phys. Rev. D 80, 052002 (2009).
P. del Amo Sanchez (BABAR Collaboration), Phys. Rev. D 84, 052001 (2011).
A. V. Radyushkin, Phys. Rev. D 80, 094009 (2009).
H. L. L. Roberts, C. D. Roberts, A. Bashir, L. X. Gutierrez-Guerrero, and P. C. Tandy, Phys. Rev. C 82, 065202 (2010).
A. Dorokhov, JETP Lett. 91, 163 (2010).
S. S. Agaev, V. M. Braun, N. Offen, and F. A. Porkert, Phys. Rev. D 83, 054020 (2011).
Y. N. Klopot, A. G. Oganesian, and O. V. Teryaev, Phys. Lett. B 695, 130 (2011); Phys. Rev. D 84, 051901 (2011).
S. J. Brodsky, F.-G. Cao, and G. F. de Teramond, Phys. Rev. D 84, 033001 (2011); 84, 075012 (2011).
P. Kroll, Eur. Phys. J. C 71, 1623 (2011).
A. P. Bakulev, S. V. Mikhailov, A. V. Pimikov, and N. G. Stefanis, Phys. Rev. D 84, 034014 (2011); arXiv:1202.1781.
I. Balakireva, W. Lucha, and D. Melikhov, Phys. Rev. D 85, 036006 (2012); arXiv:1103.3781; W. Lucha and D. Melikhov, J. Phys. G 39, 045003 (2012).
H. Czyz, S. Ivashyn, A. Korchin, and O. Shekhovtsova, arXiv:1202.1171.
C.-C. Lih and C.-Q. Geng, Phys. Rev. C 85, 018201 (2012).
G. P. Lepage and S. J. Brodsky, Phys. Rev. D 22, 2157 (1980).
J. Horejsi and O. Teryaev, Z. Phys. C 65, 691 (1995).
S. Adler, Phys. Rev. 177, 2426 (1969); J. S. Bell and R. Jackiw, Nuovo Cimento A 60, 47 (1969).
D. Melikhov and B. Stech, Phys. Rev. Lett. 88, 151601 (2002).
D. Melikhov, Eur. Phys. J. direct C 4, 2 (2002).
S. Adler and B. Bardeen, Phys. Rev. 182, 1517 (1969).
R. S. Pasechnik and O. V. Teryaev, Phys. Rev. D 73, 034017 (2006).
F. Jegerlehner and O. V. Tarasov, Phys. Lett. B 639, 299 (2006).
V. V. Anisovich, D. I. Melikhov, and V. A. Nikonov, Phys. Rev. D 55, 2918 (1997).
T. Feldmann, P. Kroll, and B. Stech, Phys. Rev. D 58, 114006 (1998); Phys. Lett. B 449, 339 (1999).

Physical Review D

Export citation

Export citation

$γ^{⋆} γ \to π (η, η^{'})$ transition form factors

Abstract

Article Text

References (26)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation

γ⋆γ→π(η,η′) transition form factors

Abstract

Article Text

References (26)

$γ^{⋆} γ \to π (η, η^{'})$ transition form factors