dorsal/arxiv
View SchemaDouble beta decay to the first $2^+$ state within a boson expansion formalism with a projected spherical single particle basis
| Authors | A. A. Raduta, C. M. Raduta |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0612031 |
| URL | https://arxiv.org/abs/nucl-th/0612031 |
| DOI | 10.1016/j.physletb.2007.02.007 |
| Journal | Phys.Lett.B647:265-270,2007 |
Abstract
The Gamow-Teller transition operator is written as a polynomial in the dipole proton-neutron and quadrupole charge conserving QRPA boson operators, using the prescription of the boson expansion technique of Belyaev-Zelevinski type. Then, the $2\nu\beta\beta$ process ending on the first $2^+$ state in the daughter nucleus is allowed via one, two and three boson states describing the odd-odd intermediate nucleus. The approach uses a single particle basis which is obtained by projecting out the good angular momentum from an orthogonal set of deformed functions. The basis for mother and daughter nuclei have different deformations. The GT transition amplitude as well as the half lives were calculated for ten transitions. Results are compared with the available data as well as with some predictions obtained with other methods.
{
"annotation_id": "ab957203-a587-4504-8389-197f87b47a7f",
"date_created": "2026-03-02T18:00:11.536000Z",
"date_modified": "2026-03-02T18:00:11.536000Z",
"file_hash": "0986a5bcd7512d4569d653f34bb5122e9b2ae7dc7cfc10a76ebbc45dab9b9355",
"private": false,
"record": {
"abstract": "The Gamow-Teller transition operator is written as a polynomial in the dipole\nproton-neutron and quadrupole charge conserving QRPA boson operators, using the\nprescription of the boson expansion technique of Belyaev-Zelevinski type. Then,\nthe $2\\nu\\beta\\beta$ process ending on the first $2^+$ state in the daughter\nnucleus is allowed via one, two and three boson states describing the odd-odd\nintermediate nucleus. The approach uses a single particle basis which is\nobtained by projecting out the good angular momentum from an orthogonal set of\ndeformed functions. The basis for mother and daughter nuclei have different\ndeformations. The GT transition amplitude as well as the half lives were\ncalculated for ten transitions.\n Results are compared with the available data as well as with some predictions\nobtained with other methods.",
"arxiv_id": "nucl-th/0612031",
"authors": [
"A. A. Raduta",
"C. M. Raduta"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/j.physletb.2007.02.007",
"journal_ref": "Phys.Lett.B647:265-270,2007",
"title": "Double beta decay to the first $2^+$ state within a boson expansion formalism with a projected spherical single particle basis",
"url": "https://arxiv.org/abs/nucl-th/0612031"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "bbcbb4ae-508b-4bb2-8ac3-9b798d4947e6",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}