dorsal/arxiv
View SchemaEnergy Centroids of Spin $I$ States by Random Two-body Interactions
| Authors | Y. M. Zhao, A. Arima, K. Ogawa |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0412083 |
| URL | https://arxiv.org/abs/nucl-th/0412083 |
| DOI | 10.1103/PhysRevC.71.017304 |
| Journal | Phys.Rev. C71 (2005) 017304 |
Abstract
In this paper we study the behavior of energy centroids (denoted as $\bar{E_I}$) of spin $I$ states in the presence of random two-body interactions, for systems ranging from very simple systems (e.g. single-$j$ shell for very small $j$) to very complicated systems (e.g., many-$j$ shells with different parities and with isospin degree of freedom). Regularities of $\bar{E_I}$'s discussed in terms of the so-called geometric chaoticity (or quasi-randomness of two-body coefficients of fractional parentage) in earlier works are found to hold even for very simple systems in which one cannot assume the geometric chaoticity. It is shown that the inclusion of isospin and parity does not "break" the regularities of $\bar{E_I}$'s.
{
"annotation_id": "84747171-6881-4cbf-8633-de00b953764a",
"date_created": "2026-03-02T18:00:04.436000Z",
"date_modified": "2026-03-02T18:00:04.436000Z",
"file_hash": "28fc9eda28a3100f52b4c160f6546b53b5d4c074ab2b6582d3210308819e66eb",
"private": false,
"record": {
"abstract": "In this paper we study the behavior of energy centroids (denoted as\n$\\bar{E_I}$) of spin $I$ states in the presence of random two-body\ninteractions, for systems ranging from very simple systems (e.g. single-$j$\nshell for very small $j$) to very complicated systems (e.g., many-$j$ shells\nwith different parities and with isospin degree of freedom). Regularities of\n$\\bar{E_I}$\u0027s discussed in terms of the so-called geometric chaoticity (or\nquasi-randomness of two-body coefficients of fractional parentage) in earlier\nworks are found to hold even for very simple systems in which one cannot assume\nthe geometric chaoticity. It is shown that the inclusion of isospin and parity\ndoes not \"break\" the regularities of $\\bar{E_I}$\u0027s.",
"arxiv_id": "nucl-th/0412083",
"authors": [
"Y. M. Zhao",
"A. Arima",
"K. Ogawa"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.71.017304",
"journal_ref": "Phys.Rev. C71 (2005) 017304",
"title": "Energy Centroids of Spin $I$ States by Random Two-body Interactions",
"url": "https://arxiv.org/abs/nucl-th/0412083"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "bb341cbd-3914-4394-84b3-ba8623c7d34d",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}