dorsal/arxiv
View SchemaStudy of Pentaquark and $\Lambda(1405)$
| Authors | H. Nemura, C. Nakamoto |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0602072 |
| URL | https://arxiv.org/abs/nucl-th/0602072 |
| DOI | 10.1063/1.2220305 |
Abstract
We perform a five-body calculation for pentaquark $(q^4\bar{q})$ state of $\Lambda(1405)$ as well as the three-body calculations for the ground state baryons and the $\Lambda(1405)$, and two-body calculations for mesons. The hamiltonian, which reproduces reasonably well the energies of ground state baryons ($N,\Lambda,\Sigma,\Xi$ and $\Delta$) and mesons ($\pi,K,\rho,K^\ast$), includes kinetic energy of semi-relativistic form, linear confinement potential, and the simplest form of color-magnetic interaction with Gaussian form factor. Flavor symmetry breaking ($m_s> m_{u,d}$) is taken into account. The energy calculated for $(q^4\bar{q})$ state of $\Lambda(1405)$ is lower than the energy for the $(q^3)$ state. The present result suggests that the $\Lambda(1405)$ is a pentaquark-dominated state if the color-magnetic potential plays a leading role of the quark-quark and quark-antiquark interactions.
{
"annotation_id": "962ed00a-8d16-4afc-8700-d4500b243e4c",
"date_created": "2026-03-02T18:00:08.076000Z",
"date_modified": "2026-03-02T18:00:08.076000Z",
"file_hash": "266db8c46b2ea39019927b57dba9dbde17ada8319efda014fd2a34b973746b0c",
"private": false,
"record": {
"abstract": "We perform a five-body calculation for pentaquark $(q^4\\bar{q})$ state of\n$\\Lambda(1405)$ as well as the three-body calculations for the ground state\nbaryons and the $\\Lambda(1405)$, and two-body calculations for mesons. The\nhamiltonian, which reproduces reasonably well the energies of ground state\nbaryons ($N,\\Lambda,\\Sigma,\\Xi$ and $\\Delta$) and mesons ($\\pi,K,\\rho,K^\\ast$),\nincludes kinetic energy of semi-relativistic form, linear confinement\npotential, and the simplest form of color-magnetic interaction with Gaussian\nform factor. Flavor symmetry breaking ($m_s\u003e m_{u,d}$) is taken into account.\nThe energy calculated for $(q^4\\bar{q})$ state of $\\Lambda(1405)$ is lower than\nthe energy for the $(q^3)$ state. The present result suggests that the\n$\\Lambda(1405)$ is a pentaquark-dominated state if the color-magnetic potential\nplays a leading role of the quark-quark and quark-antiquark interactions.",
"arxiv_id": "nucl-th/0602072",
"authors": [
"H. Nemura",
"C. Nakamoto"
],
"categories": [
"nucl-th"
],
"doi": "10.1063/1.2220305",
"title": "Study of Pentaquark and $\\Lambda(1405)$",
"url": "https://arxiv.org/abs/nucl-th/0602072"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "d450ba01-55db-4d39-a729-d6c79d61ad0e",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}