dorsal/arxiv
View SchemaInvestigation of phase-equivalent potentials by a halo transfer reaction
| Authors | Bulent Gonul, Okan Ozer, Mustafa Yilmaz |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0211145 |
| URL | https://arxiv.org/abs/quant-ph/0211145 |
| DOI | 10.1007/s100500070051 |
| Journal | Eur.Phys.J.A9:19-28,2000 |
Abstract
Using the supersymmetric quantum mechanics we investigate the wave function-sensitive properties of the supersymmetric potentials which have received a lot of attention in the literature recently. We show that a superdeep potential and its phase-equivalent shallow-partner potential give very similar "rms" values for the weakly bound systems such as the deuteron and 11Be nuclei. Although the corresponding eigenstates differ in the node-number, our investigation on the 11Be(p,d)10Be single nucleon halo transfer reaction at 35 MeV show that also other physical quantities such as the cross section angular distributions calculated using these wave functions reflect the nodal structure rather weakly. This lends support to two nearly equivalent treatments of the Pauli principle.
{
"annotation_id": "99c4090f-53a4-42ad-9ede-4bd2621c6203",
"date_created": "2026-03-02T18:01:56.344000Z",
"date_modified": "2026-03-02T18:01:56.344000Z",
"file_hash": "df2a59a7f5355a67720c34cd2a38abe9697e67b381b3ed498e976d6ea43876ae",
"private": false,
"record": {
"abstract": "Using the supersymmetric quantum mechanics we investigate the wave\nfunction-sensitive properties of the supersymmetric potentials which have\nreceived a lot of attention in the literature recently. We show that a\nsuperdeep potential and its phase-equivalent shallow-partner potential give\nvery similar \"rms\" values for the weakly bound systems such as the deuteron and\n11Be nuclei. Although the corresponding eigenstates differ in the node-number,\nour investigation on the 11Be(p,d)10Be single nucleon halo transfer reaction at\n35 MeV show that also other physical quantities such as the cross section\nangular distributions calculated using these wave functions reflect the nodal\nstructure rather weakly. This lends support to two nearly equivalent treatments\nof the Pauli principle.",
"arxiv_id": "quant-ph/0211145",
"authors": [
"Bulent Gonul",
"Okan Ozer",
"Mustafa Yilmaz"
],
"categories": [
"quant-ph",
"nucl-th"
],
"doi": "10.1007/s100500070051",
"journal_ref": "Eur.Phys.J.A9:19-28,2000",
"title": "Investigation of phase-equivalent potentials by a halo transfer reaction",
"url": "https://arxiv.org/abs/quant-ph/0211145"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "3a30bce0-7ec4-4e16-a9bf-bc4cfdcb5de9",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}