dorsal/arxiv
View SchemaAnalytical Extension of the Frazer-Fulco Unitarity Relations for Isovector Nucleon Form Factors to the Complex t-Plane
| Authors | M. I. Krivoruchenko |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9710072 |
| URL | https://arxiv.org/abs/nucl-th/9710072 |
Abstract
The unitarity relations for isovector nucleon form factors in the two-pion approximation for the intermediate states are analytically extended in a model independent way from the real half-axis t > 4 $\mu^2$ ($\mu$ is the pion mass) to the whole complex t-plane. As a result, the explicit integral representations for the nucleon form factors are constructed in terms of the pion form factor and imaginary parts of the t-channel p-wave piN-scattering amplitudes at t < 0. New method based on the explicit integral representations is developed for numerical evaluation of the two-pion contribution to the isovector nucleon form factors. The results of different methods are compared and their efficiency is discussed.
{
"annotation_id": "b0a013e1-fb3d-4b7a-834a-8c5fbaf6af61",
"date_created": "2026-03-02T18:00:21.575000Z",
"date_modified": "2026-03-02T18:00:21.575000Z",
"file_hash": "deedad2e8bb7c6519501fa52605af0c4c0d0f7b0d62f0064b27f166ac8fc30cf",
"private": false,
"record": {
"abstract": "The unitarity relations for isovector nucleon form factors in the two-pion\napproximation for the intermediate states are analytically extended in a model\nindependent way from the real half-axis t \u003e 4 $\\mu^2$ ($\\mu$ is the pion mass)\nto the whole complex t-plane. As a result, the explicit integral\nrepresentations for the nucleon form factors are constructed in terms of the\npion form factor and imaginary parts of the t-channel p-wave piN-scattering\namplitudes at t \u003c 0. New method based on the explicit integral representations\nis developed for numerical evaluation of the two-pion contribution to the\nisovector nucleon form factors. The results of different methods are compared\nand their efficiency is discussed.",
"arxiv_id": "nucl-th/9710072",
"authors": [
"M. I. Krivoruchenko"
],
"categories": [
"nucl-th"
],
"title": "Analytical Extension of the Frazer-Fulco Unitarity Relations for Isovector Nucleon Form Factors to the Complex t-Plane",
"url": "https://arxiv.org/abs/nucl-th/9710072"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "e30c9bc4-5077-408b-9e31-3570ef628378",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}