A Gauge Invariant Unitary Theory for Pion Photoproduction

Details A Gauge Invariant Unitary Theory for Pion Photoproduction A Gauge Invariant Unitary Theory for Pion Photoproduction

1993-08-18

arxiv.org/abs/nucl-th/9308014v1

Physics

Nuclear Physics

Nuclear Theory

4 pages, LaTeX, 1 figure as a separate uuencoded compressed tar file

Scientific paper

A covariant, unitary and gauge invariant theory for pion photoproduction on a single nucleon is presented. To achieve gauge invariance at the operator level one needs to include both the $\pi N$ and $\gamma\pi N$ thresholds. The final amplitude can be written in terms of a distorted wave in the final $\pi N$ channel provided one includes additional diagrams to the standard Born term in which the photon is coupled to the final state pion and nucleon. These additional diagrams are required in order to satisfy gauge invariance.

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