Sidewise dispersion relations and the structure of the nucleon vertex
Abstract
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.
Keywords
Cite
@article{arxiv.nucl-th/9603031,
title = {Sidewise dispersion relations and the structure of the nucleon vertex},
author = {R. M. Davidson and G. I. Poulis},
journal= {arXiv preprint arXiv:nucl-th/9603031},
year = {2011}
}
Comments
29 pages. Uuencoded gz-compressed tar file; includes RevTeX source plus 3 postscript figures incorporated with epsfig.sty plus 3 LaTeX figures using eepic.sty (included). Complete postscript file available via WWW at http://www.nikhefk.nikhef.nl/projects/Theory/preprints/preprints.html