dorsal/arxiv
View SchemaX(5) Critical-Point Structure in a Finite System
| Authors | A. Leviatan |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0509003 |
| URL | https://arxiv.org/abs/nucl-th/0509003 |
| DOI | 10.1103/PhysRevC.72.031305 |
| Journal | Phys.Rev. C72 (2005) 031305 |
Abstract
X(5) is a paradigm for the structure at the critical point of a particular first-order phase transition for which the intrinsic energy surface has two degenerate minima separated by a low barrier. For a finite system, we show that the dynamics at such a critical point can be described by an effective deformation determined by minimizing the energy surface after projection onto angular momentum zero, and combined with two-level mixing. Wave functions of a particular analytic form are used to derive estimates for energies and quadrupole rates at the critical point.
{
"annotation_id": "dfc45dc5-ef98-4da3-a08f-a72e07233f58",
"date_created": "2026-03-02T18:00:04.144000Z",
"date_modified": "2026-03-02T18:00:04.144000Z",
"file_hash": "84a1f7a847d9bd7ef71a8f0318d487e8cac13f28864539b477e9c6f84452a7eb",
"private": false,
"record": {
"abstract": "X(5) is a paradigm for the structure at the critical point of a particular\nfirst-order phase transition for which the intrinsic energy surface has two\ndegenerate minima separated by a low barrier. For a finite system, we show that\nthe dynamics at such a critical point can be described by an effective\ndeformation determined by minimizing the energy surface after projection onto\nangular momentum zero, and combined with two-level mixing. Wave functions of a\nparticular analytic form are used to derive estimates for energies and\nquadrupole rates at the critical point.",
"arxiv_id": "nucl-th/0509003",
"authors": [
"A. Leviatan"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.72.031305",
"journal_ref": "Phys.Rev. C72 (2005) 031305",
"title": "X(5) Critical-Point Structure in a Finite System",
"url": "https://arxiv.org/abs/nucl-th/0509003"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "90a37877-c263-4045-af12-071a30c58b9e",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}