dorsal/arxiv
View SchemaSidewise dispersion relations and the structure of the nucleon vertex
| Authors | R. M. Davidson, G. I. Poulis |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9603031 |
| URL | https://arxiv.org/abs/nucl-th/9603031 |
| DOI | 10.1103/PhysRevD.54.2228 |
| Journal | Phys.Rev.D54:2228-2241,1996 |
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.
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"abstract": "We revisit sidewise dispersion relations as a method to relate the nucleon\noff-shell form factor to observable quantities, namely the meson-nucleon\nscattering phase shifts. It is shown how for meson-nucleon scattering a\nredefinition of the intermediate fields leaves the scattering amplitude\ninvariant, but changes the behavior of the off-shell form factor as expressed\nthrough dispersion relations, thus showing representation dependence. We also\nemploy a coupled-channel unitary model to test the validity of approximations\nconcerning the influence of inelastic channels in the sidewise dispersion\nrelation method.",
"arxiv_id": "nucl-th/9603031",
"authors": [
"R. M. Davidson",
"G. I. Poulis"
],
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"nucl-th"
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"doi": "10.1103/PhysRevD.54.2228",
"journal_ref": "Phys.Rev.D54:2228-2241,1996",
"title": "Sidewise dispersion relations and the structure of the nucleon vertex",
"url": "https://arxiv.org/abs/nucl-th/9603031"
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