The Non-perturbative term for the Vector Form Factor of Pion Decay

Abstract

The vector form factor of the decay $\pi^{+} \rightarrow \gamma + e^{+} + \nu_e$ is calculated by the method for the pseudovector pion-nucleon system. The non-perturbative term is taken into account by using the parameter for the self-energy of nucleon following our previous calculation of the pion form factor. The suppression of the anomalous interaction of proton in the loop integral is significant to understand the experimental value.