dorsal/arxiv
View SchemaDihyperon in Chiral Colour Dielectric Model
| Authors | Sanjay K. Ghosh, S. C. Phatak |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9708011 |
| URL | https://arxiv.org/abs/nucl-th/9708011 |
| DOI | 10.1103/PhysRevC.58.1714 |
| Journal | Phys.Rev.C58:1714-1719,1998 |
Abstract
The mass of dihyperon with spin, parity $J^{\pi}=0^{+}$ and isospin $I = 0$ is calculated in the framework of Chiral colour dielectric model. The wave function of the dihyperon is expressed as a product of two colour-singlet baryon clusters. Thus the quark wave functions within the cluster are antisymmetric. Appropriate operators are then used to antisymmetrize inter-cluster quark wave functions. The radial part of the quark wavefunctions are obtained by solving the the quark and dielectric field equations of motion obtained in the Colour dielectric model. The mass of the dihyperon is computed by including the colour magnetic energy as well as the energy due to meson interaction. The recoil correction to the dihyperon mass is incorporated by Peierls-Yoccoz technique. We find that the mass of the dihyperon is smaller than the $\Lambda-\Lambda$ threshold by over 100 MeV. The implications of our results on the present day relativistic heavy ion experiments is discussed.
{
"annotation_id": "9a85fa15-8796-472c-83fd-2d4ac9835e3f",
"date_created": "2026-03-02T18:00:18.660000Z",
"date_modified": "2026-03-02T18:00:18.660000Z",
"file_hash": "7edf772ffb40674ca96bc3bb7dd4ef5062e79bc98893d4fc7921a9c81e06bb1f",
"private": false,
"record": {
"abstract": "The mass of dihyperon with spin, parity $J^{\\pi}=0^{+}$ and isospin $I = 0$\nis calculated in the framework of Chiral colour dielectric model. The wave\nfunction of the dihyperon is expressed as a product of two colour-singlet\nbaryon clusters. Thus the quark wave functions within the cluster are\nantisymmetric. Appropriate operators are then used to antisymmetrize\ninter-cluster quark wave functions. The radial part of the quark wavefunctions\nare obtained by solving the the quark and dielectric field equations of motion\nobtained in the Colour dielectric model. The mass of the dihyperon is computed\nby including the colour magnetic energy as well as the energy due to meson\ninteraction. The recoil correction to the dihyperon mass is incorporated by\nPeierls-Yoccoz technique. We find that the mass of the dihyperon is smaller\nthan the $\\Lambda-\\Lambda$ threshold by over 100 MeV. The implications of our\nresults on the present day relativistic heavy ion experiments is discussed.",
"arxiv_id": "nucl-th/9708011",
"authors": [
"Sanjay K. Ghosh",
"S. C. Phatak"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.58.1714",
"journal_ref": "Phys.Rev.C58:1714-1719,1998",
"title": "Dihyperon in Chiral Colour Dielectric Model",
"url": "https://arxiv.org/abs/nucl-th/9708011"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "65aae0b6-583e-4cfb-b1a2-f57180546cd6",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}