dorsal/arxiv
View SchemaRenormalized QRPA and double beta decay: a critical analysis of double Fermi transitions
| Authors | Jorge G. Hirsch, Peter O. Hess, Osvaldo Civitarese |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9602007 |
| URL | https://arxiv.org/abs/nucl-th/9602007 |
| DOI | 10.1103/PhysRevC.54.1976 |
| Journal | Phys.Rev.C54:1976-1981,1996 |
Abstract
The proton-neutron monopole Lipkin model, which exhibits some properties which are relevant for those double beta decay ($\beta \beta$) transitions mediated by the Fermi matrix elements, is solved exactly in the proton-neutron two-quasiparticle space. The exact results are compared with the ones obtained by using the Quasiparticle Random Phase (QRPA) and renormalized QRPA (RQRPA) approaches. It is shown that the RQRPA violates the Ikeda Sum Rule and that this violation may be common to any extension of the QRPA where scattering terms are neglected in the participant one-body operators as well as in the Hamiltonian. This finding underlines the need of additional developments before the RQRPA could be adopted as a reliable tool to compute $\beta \beta$ processes.
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"abstract": "The proton-neutron monopole Lipkin model, which exhibits some properties\nwhich are relevant for those double beta decay ($\\beta \\beta$) transitions\nmediated by the Fermi matrix elements, is solved exactly in the proton-neutron\ntwo-quasiparticle space. The exact results are compared with the ones obtained\nby using the Quasiparticle Random Phase (QRPA) and renormalized QRPA (RQRPA)\napproaches. It is shown that the RQRPA violates the Ikeda Sum Rule and that\nthis violation may be common to any extension of the QRPA where scattering\nterms are neglected in the participant one-body operators as well as in the\nHamiltonian. This finding underlines the need of additional developments before\nthe RQRPA could be adopted as a reliable tool to compute $\\beta \\beta$\nprocesses.",
"arxiv_id": "nucl-th/9602007",
"authors": [
"Jorge G. Hirsch",
"Peter O. Hess",
"Osvaldo Civitarese"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.54.1976",
"journal_ref": "Phys.Rev.C54:1976-1981,1996",
"title": "Renormalized QRPA and double beta decay: a critical analysis of double Fermi transitions",
"url": "https://arxiv.org/abs/nucl-th/9602007"
},
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