The Pion-Nucleon Form Factor From QCD Sum Rules
Thomas Meissner
Abstract
QCD sum rules are used to calculate the q2 dependence of the πNN coupling gπNN (q2) in the spacelike region 0.5 \ GeV2 q2 1.5\ GeV2. We study the Borel sum rule for the three point function of one pseudoscalar and two nucleon currents up to order four in the operator product expansion. The Borel transform is performed with respect to the nucleon momenta, whereas the momentum q2 of the pseudoscalar vertex is kept fixed at spacelike values. The results can be well fitted using a monopole form with a cutoff mass of about $Λπ≈ 800 \ MeV.
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