Non-perturbative model for the half-off-shell γN N vertex

Details Non-perturbative model for the half-off-shell γN N vertex Non-perturbative model for the half-off-shell γN N vertex

1999-06-15

arxiv.org/abs/nucl-th/9906044v2

Physics

Nuclear Physics

Nuclear Theory

51 pages, 12 Postscript figures, using REVTeX. Submitted to Phys. Rev. C, added references

Scientific paper

Form factors in the nucleon-photon vertex with one off-shell nucleon are calculated by dressing the vertex with pion loops up to infinite order. Cutting rules and dispersion relations are implemented in the model. Using the prescription of minimal substitution we construct a \gamma \pi N N vertex and show that it has to be included in the model in order that the Ward-Takahashi identity for the \gamma N N vertex be fulfilled. The vertex is to be applied in a coupled-channel K-matrix formalism for Compton scattering, pion photoproduction and pion scattering. The form factors show a pronounced cusp structure at the pion threshold. As an illustration of a consistent application of the model, we calculate the cross section of Compton scattering. To provide gauge invariance in Compton scattering, a four-point \gamma \gamma N N contact term is constructed using minimal substitution.

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