dorsal/arxiv
View SchemaViolation of the Ikeda sum rule and the self-consistency in the renormalized quasiparticle random phase approximation and the nuclear double-beta decay
| Authors | F. Krmpotic, T. T. S. Kuo, A. Mariano, E. J. V. de Passos, A. F. R. de Toledo Piza |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9607009 |
| URL | https://arxiv.org/abs/nucl-th/9607009 |
| DOI | 10.1016/S0375-9474(96)00407-1 |
| Journal | Nucl.Phys.A612:223-238,1997 |
Abstract
The effect of the inclusion of ground state correlations into the QRPA equation of motion for the two-neutrino double beta ($\beta\beta_{2\nu}$) decay is carefully analyzed. The resulting model, called renormalized QRPA (RQRPA), does not collapse near the physical value of the nuclear force strength in the particle-particle channel, as happens with the ordinary QRPA. Still, the $\beta\beta_{2\nu}$ transition amplitude is only slightly less sensitive on this parameter in the RQRPA than that in the plain QRPA. It is argued that this fact reveals once more that the characteristic behaviour of the $\beta\beta_{2\nu}$ transition amplitude within the QRPA is not an artifact of the model, but a consequence of the partial restoration of the spin-isospin $SU(4)$ symmetry. It is shown that the price paid for bypassing the collapse in the RQRPA is the violation of the Ikeda sum rule.
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"abstract": "The effect of the inclusion of ground state correlations into the QRPA\nequation of motion for the two-neutrino double beta ($\\beta\\beta_{2\\nu}$) decay\nis carefully analyzed. The resulting model, called renormalized QRPA (RQRPA),\ndoes not collapse near the physical value of the nuclear force strength in the\nparticle-particle channel, as happens with the ordinary QRPA. Still, the\n$\\beta\\beta_{2\\nu}$ transition amplitude is only slightly less sensitive on\nthis parameter in the RQRPA than that in the plain QRPA. It is argued that this\nfact reveals once more that the characteristic behaviour of the\n$\\beta\\beta_{2\\nu}$ transition amplitude within the QRPA is not an artifact of\nthe model, but a consequence of the partial restoration of the spin-isospin\n$SU(4)$ symmetry. It is shown that the price paid for bypassing the collapse in\nthe RQRPA is the violation of the Ikeda sum rule.",
"arxiv_id": "nucl-th/9607009",
"authors": [
"F. Krmpotic",
"T. T. S. Kuo",
"A. Mariano",
"E. J. V. de Passos",
"A. F. R. de Toledo Piza"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/S0375-9474(96)00407-1",
"journal_ref": "Nucl.Phys.A612:223-238,1997",
"title": "Violation of the Ikeda sum rule and the self-consistency in the renormalized quasiparticle random phase approximation and the nuclear double-beta decay",
"url": "https://arxiv.org/abs/nucl-th/9607009"
},
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