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Physics of Atomic Nuclei

, Volume 76, Issue 3, pp 326–340 | Cite as

Elastic and transition form factors of light pseudoscalar mesons from QCD sum rules

  • I. A. BalakirevaEmail author
  • W. Lucha
  • D. I. Melikhov
Elementary Particles and Fields Theory
  • 45 Downloads

Abstract

We revisit F π(Q 2) and F (Q 2), P = π, η, η′, making use of the local-duality (LD) version of QCD sum rules. We give arguments that the LD sum rule provides reliable predictions for these form factors at Q 2 ≥ 5–6 GeV2, the accuracy of the method increasing with Q 2 in this region. For the pion elastic form factor, the well-measured data at small Q 2 give a hint that the LD limit may be reached already at relatively low values of momentum transfers, Q 2 ≈ 4–8 GeV2; we therefore conclude that large deviations from LD in the region Q 2 = 20–50 GeV2 seem very unlikely. The data on the (η, η′) → γγ* form factors meet the expectations from the LD model. However, the BaBar results for the π 0γγ* form factor imply a violation of LD growing with Q 2 even at Q 2 ≈ 40 GeV2, at odds with the η, η′ case and with the general properties expected for the LD sum rule.

Keywords

Form Factor Atomic Nucleus Ward Identity Power Correction Transition Form Factor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Pleiades Publishing, Ltd. 2013

Authors and Affiliations

  • I. A. Balakireva
    • 1
    Email author
  • W. Lucha
    • 2
  • D. I. Melikhov
    • 1
    • 2
    • 3
  1. 1.SINPMoscow State UniversityMoscowRussia
  2. 2.Institute for High Energy PhysicsAustrian Academy of SciencesViennaAustria
  3. 3.Faculty of PhysicsUniversity of ViennaViennaAustria

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