Sidewise dispersion relations and the structure of the nucleon vertex

Details Sidewise dispersion relations and the structure of the nucleon vertex Sidewise dispersion relations and the structure of the nucleon vertex

1996-03-21

arxiv.org/abs/nucl-th/9603031v1

Phys.Rev.D54:2228-2241,1996

Physics

Nuclear Physics

Nuclear Theory

29 pages. Uuencoded gz-compressed tar file; includes RevTeX source plus 3 postscript figures incorporated with epsfig.sty plus

Scientific paper

10.1103/PhysRevD.54.2228

We revisit sidewise dispersion relations as a method to relate the nucleon off-shell form factor to observable quantities, namely the meson-nucleon scattering phase shifts. It is shown how for meson-nucleon scattering a redefinition of the intermediate fields leaves the scattering amplitude invariant, but changes the behavior of the off-shell form factor as expressed through dispersion relations, thus showing representation dependence. We also employ a coupled-channel unitary model to test the validity of approximations concerning the influence of inelastic channels in the sidewise dispersion relation method.

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