dorsal/arxiv
View SchemaLippmann-Schwinger Resonating-Group Formalism for NN and YN Interactions in an SU6 Quark Model
| Authors | Yoshikazu Fujiwara, Michio Kohno, Tadashi Fujita, Choki Nakamoto, Yasuyuki Suzuki |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9912060 |
| URL | https://arxiv.org/abs/nucl-th/9912060 |
| DOI | 10.1143/PTP.103.755 |
| Journal | Prog.Theor.Phys. 103 (2000) 755-794 |
Abstract
We formulate a Lippmann-Schwinger-type resonating-group equation to calculate invariant amplitudes of the quark-model baryon-baryon interaction. When applied to our recent SU6 quark model for the nucleon-nucleon and hyperon-nucleon interactions, this technique yields very accurate phase-shift parameters for all partial waves up to the energies of several GeV. The technique also has a merit of a straightforward extension to the G-matrix equation. A new analytic method is proposed to calculate the quark-exchange Born kernel for the momentum-dependent two-body interaction. The partial-wave decomposition in the momentum representation is carried out numerically. The invariant amplitudes are then used to calculate single-nucleon potentials in normal nuclear matter for high incident momenta q_1 > 3 (1/fm), in which the so-called t^eff-rho prescription is found to be a good approximation to the single-particle potentials directly calculated in the lowest-order Brueckner theory.
{
"annotation_id": "7a6475a9-655e-476b-9073-dab89fcc584e",
"date_created": "2026-03-02T18:00:29.395000Z",
"date_modified": "2026-03-02T18:00:29.395000Z",
"file_hash": "e67657d2580f99890d140f115a54fff38bb7cd9eadb2b8539731aadba9a7e9da",
"private": false,
"record": {
"abstract": "We formulate a Lippmann-Schwinger-type resonating-group equation to calculate\ninvariant amplitudes of the quark-model baryon-baryon interaction. When applied\nto our recent SU6 quark model for the nucleon-nucleon and hyperon-nucleon\ninteractions, this technique yields very accurate phase-shift parameters for\nall partial waves up to the energies of several GeV. The technique also has a\nmerit of a straightforward extension to the G-matrix equation. A new analytic\nmethod is proposed to calculate the quark-exchange Born kernel for the\nmomentum-dependent two-body interaction. The partial-wave decomposition in the\nmomentum representation is carried out numerically. The invariant amplitudes\nare then used to calculate single-nucleon potentials in normal nuclear matter\nfor high incident momenta q_1 \u003e 3 (1/fm), in which the so-called t^eff-rho\nprescription is found to be a good approximation to the single-particle\npotentials directly calculated in the lowest-order Brueckner theory.",
"arxiv_id": "nucl-th/9912060",
"authors": [
"Yoshikazu Fujiwara",
"Michio Kohno",
"Tadashi Fujita",
"Choki Nakamoto",
"Yasuyuki Suzuki"
],
"categories": [
"nucl-th"
],
"doi": "10.1143/PTP.103.755",
"journal_ref": "Prog.Theor.Phys. 103 (2000) 755-794",
"title": "Lippmann-Schwinger Resonating-Group Formalism for NN and YN Interactions in an SU6 Quark Model",
"url": "https://arxiv.org/abs/nucl-th/9912060"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "31cb4e49-e1e6-4747-8ff9-0d7fc980f72b",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}