dorsal/arxiv
View SchemaThe $\beta^4$ potential at the U(5)-O(6) critical point of the Interacting Boson Model
| Authors | J. E. Garcia-Ramos, J. Dukelsky, J. M. Arias |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0507038 |
| URL | https://arxiv.org/abs/nucl-th/0507038 |
| DOI | 10.1103/PhysRevC.72.037301 |
| Journal | Phys.Rev. C72 (2005) 037301 |
Abstract
Exact numerical results of the interacting boson model Hamiltonian along the integrable line from U(5) to O(6) are obtained by diagonalization within boson seniority subspaces. The matrix Hamiltonian reduces to a block tridiagonal form which can be diagonalized for large number of bosons. We present results for the low energy spectrum and the transition probabilities for systems up to 10000 bosons, which confirm that at the critical point the system is equally well described by the Bohr Hamiltonian with a $\beta^4$ potential.
{
"annotation_id": "a930e09f-b435-4735-ae2e-58182ef7b55e",
"date_created": "2026-03-02T18:00:04.692000Z",
"date_modified": "2026-03-02T18:00:04.692000Z",
"file_hash": "39cea84704d6a05290d4019b66403161cd97f4b1940e5ff0e020db2198c1acdd",
"private": false,
"record": {
"abstract": "Exact numerical results of the interacting boson model Hamiltonian along the\nintegrable line from U(5) to O(6) are obtained by diagonalization within boson\nseniority subspaces. The matrix Hamiltonian reduces to a block tridiagonal form\nwhich can be diagonalized for large number of bosons. We present results for\nthe low energy spectrum and the transition probabilities for systems up to\n10000 bosons, which confirm that at the critical point the system is equally\nwell described by the Bohr Hamiltonian with a $\\beta^4$ potential.",
"arxiv_id": "nucl-th/0507038",
"authors": [
"J. E. Garcia-Ramos",
"J. Dukelsky",
"J. M. Arias"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.72.037301",
"journal_ref": "Phys.Rev. C72 (2005) 037301",
"title": "The $\\beta^4$ potential at the U(5)-O(6) critical point of the Interacting Boson Model",
"url": "https://arxiv.org/abs/nucl-th/0507038"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "39f49494-30b6-4c15-8cda-38067d950713",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}