QCD sum rules are used to calculate the ${\mathit{q}}^2$ dependence of the πNN coupling ${\mathit{g}}_{\mathrm{\pi }\mathit{NN}}$(${\mathit{q}}^2$) in the spacelike region 0.5 ${\mathrm{GeV}}^2$≲${\mathit{q}}^2$≲1.5 ${\mathrm{GeV}}^2$. We study the Borel sum rule for the three point function of one pseudo- scalar and two nucleon currents up to order 4 in the operator product expansion. The Borel transform is performed with respect to the nucleon momenta, whereas the momentum ${\mathit{q}}^2$ 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 ${\mathrm{\Lambda }}_{\mathrm{\pi }}$≊800 MeV.

• Received 29 June 1995

DOI:https://doi.org/10.1103/PhysRevC.52.3386