dorsal/arxiv
View SchemaSolving the four-dimensional $NN-\pi NN$ equations for scalars below meson-production threshold
| Authors | D. R. Phillips, I. R. Afnan |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9605004 |
| URL | https://arxiv.org/abs/nucl-th/9605004 |
| DOI | 10.1103/PhysRevC.54.1542 10.1103/PhysRevC.55.3178 |
| Journal | Phys.Rev.C54:1542-1560,1996; Erratum-ibid.C55:3178,1997 |
Abstract
The four-dimensional $NN-\pi NN$ equations are adapted to the case of scalar particles with a $\phi^2\sigma$ interaction Lagrangian, and solved for energies below the $\sigma$-production threshold. This is achieved in the approximation where $\phi\sigma$ scattering is dominated by the $s$-channel $\phi$-pole term. The importance of the removal of double-counting is investigated, and a detailed comparison of the results of a covariant coupled-channels formulation and the Bethe-Salpeter equation in the ladder and ladder plus crossed-box approximations is presented. A brief discussion of the extension of the method to energies above the $\sigma$-production threshold is given.
{
"annotation_id": "1e348177-ff2c-49e0-a4d7-b85d7678ed24",
"date_created": "2026-03-02T18:00:15.194000Z",
"date_modified": "2026-03-02T18:00:15.194000Z",
"file_hash": "75acc8fee583d3d293252ed516c831ac183229f4c6892762c8ff0fa683218867",
"private": false,
"record": {
"abstract": "The four-dimensional $NN-\\pi NN$ equations are adapted to the case of scalar\nparticles with a $\\phi^2\\sigma$ interaction Lagrangian, and solved for energies\nbelow the $\\sigma$-production threshold. This is achieved in the approximation\nwhere $\\phi\\sigma$ scattering is dominated by the $s$-channel $\\phi$-pole term.\nThe importance of the removal of double-counting is investigated, and a\ndetailed comparison of the results of a covariant coupled-channels formulation\nand the Bethe-Salpeter equation in the ladder and ladder plus crossed-box\napproximations is presented. A brief discussion of the extension of the method\nto energies above the $\\sigma$-production threshold is given.",
"arxiv_id": "nucl-th/9605004",
"authors": [
"D. R. Phillips",
"I. R. Afnan"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.54.1542 10.1103/PhysRevC.55.3178",
"journal_ref": "Phys.Rev.C54:1542-1560,1996; Erratum-ibid.C55:3178,1997",
"title": "Solving the four-dimensional $NN-\\pi NN$ equations for scalars below meson-production threshold",
"url": "https://arxiv.org/abs/nucl-th/9605004"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "bcc14aae-81c4-4392-a318-206cefd20bc5",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}