dorsal/arxiv
View SchemaOn Nucleon Electromagnetic Form Factors
| Authors | R. Alkofer, A. Hoell, M. Kloker, A. Krassnigg, C. D. Roberts |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0412046 |
| URL | https://arxiv.org/abs/nucl-th/0412046 |
| DOI | 10.1007/s00601-005-0110-6 |
| Journal | Few Body Syst.37:1-31,2005 |
Abstract
A Poincare' covariant Faddeev equation, which describes baryons as composites of confined-quarks and -nonpointlike-diquarks, is solved to obtain masses and Faddeev amplitudes for the nucleon and Delta. The amplitudes are a component of a nucleon-photon vertex that automatically fulfills the Ward-Takahashi identity for on-shell nucleons. These elements are sufficient for the calculation of a quark core contribution to the nucleons' electromagnetic form factors. An accurate description of the static properties is not possible with the core alone but the error is uniformly reduced by the incorporation of meson-loop contributions. Such contributions to form factors are noticeable for Q^2 < ~2 GeV^2 but vanish with increasing momentum transfer. Hence, larger Q^2 experiments probe the quark core. The calculated behaviour of G_E^p(Q^2)/G_M^p(Q^2) on Q^2 \in [2,6] GeV^2 agrees with that inferred from polarisation transfer data. Moreover, \sqrt{Q^2} F_2(Q^2)/F_1(Q^2) is approximately constant on this domain. These outcomes result from correlations in the proton's amplitude.
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"abstract": "A Poincare\u0027 covariant Faddeev equation, which describes baryons as composites\nof confined-quarks and -nonpointlike-diquarks, is solved to obtain masses and\nFaddeev amplitudes for the nucleon and Delta. The amplitudes are a component of\na nucleon-photon vertex that automatically fulfills the Ward-Takahashi identity\nfor on-shell nucleons. These elements are sufficient for the calculation of a\nquark core contribution to the nucleons\u0027 electromagnetic form factors. An\naccurate description of the static properties is not possible with the core\nalone but the error is uniformly reduced by the incorporation of meson-loop\ncontributions. Such contributions to form factors are noticeable for Q^2 \u003c ~2\nGeV^2 but vanish with increasing momentum transfer. Hence, larger Q^2\nexperiments probe the quark core. The calculated behaviour of\nG_E^p(Q^2)/G_M^p(Q^2) on Q^2 \\in [2,6] GeV^2 agrees with that inferred from\npolarisation transfer data. Moreover, \\sqrt{Q^2} F_2(Q^2)/F_1(Q^2) is\napproximately constant on this domain. These outcomes result from correlations\nin the proton\u0027s amplitude.",
"arxiv_id": "nucl-th/0412046",
"authors": [
"R. Alkofer",
"A. Hoell",
"M. Kloker",
"A. Krassnigg",
"C. D. Roberts"
],
"categories": [
"nucl-th",
"hep-lat",
"hep-ph",
"nucl-ex"
],
"doi": "10.1007/s00601-005-0110-6",
"journal_ref": "Few Body Syst.37:1-31,2005",
"title": "On Nucleon Electromagnetic Form Factors",
"url": "https://arxiv.org/abs/nucl-th/0412046"
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