dorsal/arxiv
View SchemaOn the uncertainty in the $0\nu\beta\beta$ decay nuclear matrix elements
| Authors | V. A. Rodin, Amand Faessler, F. Šimkovic, Petr Vogel |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0305005 |
| URL | https://arxiv.org/abs/nucl-th/0305005 |
| DOI | 10.1103/PhysRevC.68.044302 |
| Journal | Phys.Rev.C68:044302,2003 |
Abstract
The nuclear matrix elements $M^{0\nu}$ of the neutrinoless double beta decay ($0\nu\beta\beta$) are evaluated for $^{76}$Ge,$^{100}$Mo, $^{130}$Te, and $^{136}$Xe within the Renormalized Quasiparticle Random Phase Approximation (RQRPA) and the simple QRPA. Three sets of single particle level schemes are used, ranging in size from 9 to 23 orbits. When the strength of the particle-particle interaction is adjusted so that the $2\nu\beta\beta$ decay rate is correctly reproduced, the resulting $M^{0\nu}$ values become essentially independent on the size of the basis, and on the form of different realistic nucleon-nucleon potentials. Thus, one of the main reasons for variability of the calculated $M^{0\nu}$ within these methods is eliminated.
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"abstract": "The nuclear matrix elements $M^{0\\nu}$ of the neutrinoless double beta decay\n($0\\nu\\beta\\beta$) are evaluated for $^{76}$Ge,$^{100}$Mo, $^{130}$Te, and\n$^{136}$Xe within the Renormalized Quasiparticle Random Phase Approximation\n(RQRPA) and the simple QRPA. Three sets of single particle level schemes are\nused, ranging in size from 9 to 23 orbits. When the strength of the\nparticle-particle interaction is adjusted so that the $2\\nu\\beta\\beta$ decay\nrate is correctly reproduced, the resulting $M^{0\\nu}$ values become\nessentially independent on the size of the basis, and on the form of different\nrealistic nucleon-nucleon potentials. Thus, one of the main reasons for\nvariability of the calculated $M^{0\\nu}$ within these methods is eliminated.",
"arxiv_id": "nucl-th/0305005",
"authors": [
"V. A. Rodin",
"Amand Faessler",
"F. \u0160imkovic",
"Petr Vogel"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.68.044302",
"journal_ref": "Phys.Rev.C68:044302,2003",
"title": "On the uncertainty in the $0\\nu\\beta\\beta$ decay nuclear matrix elements",
"url": "https://arxiv.org/abs/nucl-th/0305005"
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