dorsal/arxiv
View SchemaRelativistic quasipotential equations with u-channel exchange interactions
| Authors | V. Pascalutsa, J. A. Tjon |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9907053 |
| URL | https://arxiv.org/abs/nucl-th/9907053 |
| DOI | 10.1103/PhysRevC.60.034005 |
| Journal | Phys.Rev. C60 (1999) 034005 |
Abstract
Various quasipotential two-body scattering equations are studied at the one-loop level for the case of $t$- and $u$-channel exchange potentials. We find that the quasipotential equations devised to satisfy the one-body limit for the $t$-channel exchange potential can be in large disagreement with the field-theoretical prediction in the case of $u$-channel exchange interactions. Within the spectator model, the description of the $u$-channel case improves if another choice of the spectator particle is made. Since the appropriate choice of the spectator depends strongly on the type of interaction used, one faces a problem when both types of interaction are contained in the potential. Equal-time formulations are presented, which, in the light-heavy particle system corresponding to the mass situation of the $\pi N$ system, approximate in a reasonable way the field-theoretical result for both types of interactions.
{
"annotation_id": "2ec32f73-1207-403c-83c8-dd43a84aba39",
"date_created": "2026-03-02T18:00:24.938000Z",
"date_modified": "2026-03-02T18:00:24.938000Z",
"file_hash": "58c108591550a2aa7e5614529b63416e7ca28c111bb174aaadfb7240e4fa10a0",
"private": false,
"record": {
"abstract": "Various quasipotential two-body scattering equations are studied at the\none-loop level for the case of $t$- and $u$-channel exchange potentials. We\nfind that the quasipotential equations devised to satisfy the one-body limit\nfor the $t$-channel exchange potential can be in large disagreement with the\nfield-theoretical prediction in the case of $u$-channel exchange interactions.\nWithin the spectator model, the description of the $u$-channel case improves if\nanother choice of the spectator particle is made. Since the appropriate choice\nof the spectator depends strongly on the type of interaction used, one faces a\nproblem when both types of interaction are contained in the potential.\nEqual-time formulations are presented, which, in the light-heavy particle\nsystem corresponding to the mass situation of the $\\pi N$ system, approximate\nin a reasonable way the field-theoretical result for both types of\ninteractions.",
"arxiv_id": "nucl-th/9907053",
"authors": [
"V. Pascalutsa",
"J. A. Tjon"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.60.034005",
"journal_ref": "Phys.Rev. C60 (1999) 034005",
"title": "Relativistic quasipotential equations with u-channel exchange interactions",
"url": "https://arxiv.org/abs/nucl-th/9907053"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "29d2d631-9ac0-4534-aaf1-8ee3762f5231",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}