dorsal/arxiv
View SchemaAssessment of uncertainties in QRPA $0\nu\beta\beta$-decay nuclear matrix elements
| Authors | V. A. Rodin, Amand Faessler, F. Šimkovic, Petr Vogel |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0503063 |
| URL | https://arxiv.org/abs/nucl-th/0503063 |
Abstract
The nuclear matrix elements $M^{0\nu}$ of the neutrinoless double beta decay ($0\nu\beta\beta$) of most nuclei with known $2\nu\beta\beta$-decay rates are systematically evaluated using the Quasiparticle Random Phase Approximation (QRPA) and Renormalized QRPA (RQRPA). The experimental $2\nu\beta\beta$-decay rate is used to adjust the most relevant parameter, the strength of the particle-particle interaction. New results confirm that with such procedure the $M^{0\nu}$ values become essentially independent on the size of the single-particle basis. Furthermore, the matrix elements are shown to be also rather stable with respect to the possible quenching of the axial vector strength parametrized by reducing the coupling constant $g_A$, as well as to the uncertainties of parameters describing the short range nucleon correlations. Theoretical arguments in favor of the adopted way of determining the interaction parameters are presented. Furthermore, a discussion of other implicit and explicit parameters, inherent to the QRPA method, is presented. Comparison is made of the ways these factors are chosen by different authors. It is suggested that most of the spread among the published $0\nu\beta\beta$ decay nuclear matrix elements can be ascribed to these choices.
{
"annotation_id": "891a0e06-1c0d-484f-ae34-9d5a56ac692b",
"date_created": "2026-03-02T18:00:04.975000Z",
"date_modified": "2026-03-02T18:00:04.975000Z",
"file_hash": "763787dd703ef2f505d2d7f811d59444ae03de8713be711c8dfb3749a0bec4e2",
"private": false,
"record": {
"abstract": "The nuclear matrix elements $M^{0\\nu}$ of the neutrinoless double beta decay\n($0\\nu\\beta\\beta$) of most nuclei with known $2\\nu\\beta\\beta$-decay rates are\nsystematically evaluated using the Quasiparticle Random Phase Approximation\n(QRPA) and Renormalized QRPA (RQRPA). The experimental $2\\nu\\beta\\beta$-decay\nrate is used to adjust the most relevant parameter, the strength of the\nparticle-particle interaction. New results confirm that with such procedure the\n$M^{0\\nu}$ values become essentially independent on the size of the\nsingle-particle basis. Furthermore, the matrix elements are shown to be also\nrather stable with respect to the possible quenching of the axial vector\nstrength parametrized by reducing the coupling constant $g_A$, as well as to\nthe uncertainties of parameters describing the short range nucleon\ncorrelations. Theoretical arguments in favor of the adopted way of determining\nthe interaction parameters are presented. Furthermore, a discussion of other\nimplicit and explicit parameters, inherent to the QRPA method, is presented.\nComparison is made of the ways these factors are chosen by different authors.\nIt is suggested that most of the spread among the published $0\\nu\\beta\\beta$\ndecay nuclear matrix elements can be ascribed to these choices.",
"arxiv_id": "nucl-th/0503063",
"authors": [
"V. A. Rodin",
"Amand Faessler",
"F. \u0160imkovic",
"Petr Vogel"
],
"categories": [
"nucl-th",
"hep-ph"
],
"title": "Assessment of uncertainties in QRPA $0\\nu\\beta\\beta$-decay nuclear matrix elements",
"url": "https://arxiv.org/abs/nucl-th/0503063"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "20539331-3c65-4580-803e-49d0978e0703",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}