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Anomalous Ward Identities, Hard-Meson Calculations, and the π0γγ Form Factor

Bing-Lin Young

  • Brookhaven National Laboratory, Upton, New York 11973

Phys. Rev. D 2, 606 – Published 1 August, 1970

DOI: https://doi.org/10.1103/PhysRevD.2.606

Abstract

Assuming the anomalous axial-vector Ward identity for the VVA three-point functions, we calculate the ρωπ and ρϕπ vertex functions and the off-mass-shell π0γγ form factor in the framework of Schnitzer and Weinberg's hard-meson calculations. The mass-shell value of the form factor reduces to a result of Adler; and its off-mass-shell values are used to predict certain electron-positron annihilation cross sections. We compare the results of the present model with those of the conventional vector-meson-dominance model.

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