dorsal/arxiv
View SchemaThe Pauli principle, QRPA and the two-neutrino double beta decay
| Authors | J. Schwieger, F. Šimkovic, Amand Faessler |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9602032 |
| URL | https://arxiv.org/abs/nucl-th/9602032 |
| DOI | 10.1016/0375-9474(96)00024-3 |
| Journal | Nucl.Phys. A600 (1996) 179-192 |
Abstract
We examine the violation of the Pauli exclusion principle in the Quasiparticle Random Phase Approximation (QRPA) calculation of the two-neutrino double beta decay matrix elements, which has its origin in the quasi-boson approximation. For that purpose we propose a new renormalized QRPA with proton-neutron pairing method (full-RQRPA) for nuclear structure studies, which includes ground state correlation beyond the QRPA. This is achieved by using of renormalized quasi-boson approximation, in which the Pauli exclusion principle is taken into account more carefully. The full-RQRPA has been applied to two-neutrino double beta decay of $^{76}Ge$, $^{82}Se$, $^{128}Te$ and $^{130}Te$. The nuclear matrix elements have been found significantly less sensitive to the increasing strength of particle-particle interaction in the physically interesting region in comparison with QRPA results. The strong differences between the results of both methods indicate that the Pauli exclusion principle plays an important role in the evaluation of the double beta decay. The inclusion of the Pauli principle removes the difficulties with the strong dependence on the particle-particle strength $g_{pp}$ in the QRPA on the two-neutrino double beta decay.
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"abstract": "We examine the violation of the Pauli exclusion principle in the\nQuasiparticle Random Phase Approximation (QRPA) calculation of the two-neutrino\ndouble beta decay matrix elements, which has its origin in the quasi-boson\napproximation. For that purpose we propose a new renormalized QRPA with\nproton-neutron pairing method (full-RQRPA) for nuclear structure studies, which\nincludes ground state correlation beyond the QRPA. This is achieved by using of\nrenormalized quasi-boson approximation, in which the Pauli exclusion principle\nis taken into account more carefully. The full-RQRPA has been applied to\ntwo-neutrino double beta decay of $^{76}Ge$, $^{82}Se$, $^{128}Te$ and\n$^{130}Te$. The nuclear matrix elements have been found significantly less\nsensitive to the increasing strength of particle-particle interaction in the\nphysically interesting region in comparison with QRPA results. The strong\ndifferences between the results of both methods indicate that the Pauli\nexclusion principle plays an important role in the evaluation of the double\nbeta decay. The inclusion of the Pauli principle removes the difficulties with\nthe strong dependence on the particle-particle strength $g_{pp}$ in the QRPA on\nthe two-neutrino double beta decay.",
"arxiv_id": "nucl-th/9602032",
"authors": [
"J. Schwieger",
"F. \u0160imkovic",
"Amand Faessler"
],
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"nucl-th"
],
"doi": "10.1016/0375-9474(96)00024-3",
"journal_ref": "Nucl.Phys. A600 (1996) 179-192",
"title": "The Pauli principle, QRPA and the two-neutrino double beta decay",
"url": "https://arxiv.org/abs/nucl-th/9602032"
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