dorsal/arxiv
View SchemaIsolated States
| Authors | A. M. Shirokov, Yu. F. Smirnov, S. A. Zaytsev |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9406036 |
| URL | https://arxiv.org/abs/nucl-th/9406036 |
Abstract
We show that a quantum system with nonlocal interaction can have bound states of unusual type (isolated states (IS)). IS is a bound state that do not generate a $S$-matrix pole. IS can have positive as well as negative energy and can be treated as a generalization of bound states embedded in continuum on the case of discrete spectrum states. Formation of IS in the spectrum of quantum system is studied using a simple rank--2 separable potential with harmonic oscillator formfactors. Some physical applications are discussed, in particular, we propose separable $NN$ potential that describes not only most important two-nucleon data (deuteron binding energy and s-wave triplet and singlet scattering phases) but also the trinucleon binding energy without making use of three-body forces.
{
"annotation_id": "ca48e13e-25b3-4696-b958-198245a1c746",
"date_created": "2026-03-02T18:00:14.167000Z",
"date_modified": "2026-03-02T18:00:14.167000Z",
"file_hash": "dd1f9b26d01654c364c8241b01d610222ce513c957eb28834b1747150b389256",
"private": false,
"record": {
"abstract": "We show that a quantum system with nonlocal interaction can have bound states\nof unusual type (isolated states (IS)). IS is a bound state that do not\ngenerate a $S$-matrix pole. IS can have positive as well as negative energy and\ncan be treated as a generalization of bound states embedded in continuum on the\ncase of discrete spectrum states. Formation of IS in the spectrum of quantum\nsystem is studied using a simple rank--2 separable potential with harmonic\noscillator formfactors. Some physical applications are discussed, in\nparticular, we propose separable $NN$ potential that describes not only most\nimportant two-nucleon data (deuteron binding energy and s-wave triplet and\nsinglet scattering phases) but also the trinucleon binding energy without\nmaking use of three-body forces.",
"arxiv_id": "nucl-th/9406036",
"authors": [
"A. M. Shirokov",
"Yu. F. Smirnov",
"S. A. Zaytsev"
],
"categories": [
"nucl-th",
"hep-ph",
"hep-th"
],
"title": "Isolated States",
"url": "https://arxiv.org/abs/nucl-th/9406036"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "cd621fd2-6156-43bf-a49b-bcd4218c0a4d",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}