dorsal/arxiv
View SchemaA Novel Nuclear Model for Double Beta Decay
| Authors | Franjo Krmpotić |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0601007 |
| URL | https://arxiv.org/abs/nucl-th/0601007 |
| Journal | FizikaB14:139-164,2005 |
Abstract
The possibility of applying the Quasiparticle Tamm-Dancoff Approximation (QTDA) to describe the nuclear double beta decay is explored. Several serious inconveniences found in the Quasiparticle Random Phase Approximation (QRPA), such as: i) the extreme sensitivity of the $2\nu\beta \beta$ decay amplitudes ${\cal M}_{2{\nu}}$ on the residual interaction in the particle-particle channel, ii) the ambiguity in treating the intermediate states, and iii) the need for performing a second charge-conserving QRPA to describe the $\beta\beta$-decays to the excited final states, are not present in the QTDA. Also, the QTDA allows for explicit evaluation of energy distributions of the double-charge-exchange transition strengths and of their sum rules, and can be straightforwardly applied to single- and double-closed shell nuclei. As an example, the $^{48}$Ca$\go^{48}$Ti decay is discussed within the $1fp$-shell in the particle-hole limit of the QTDA. The general [$(1,1)$-Pad\'e-approximant-like] behavior of the $2\nu\beta \beta$-decay amplitude in the plain QRPA as well as within its different variations is briefly reviewed.
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"abstract": "The possibility of applying the Quasiparticle Tamm-Dancoff Approximation\n(QTDA) to describe the nuclear double beta decay is explored. Several serious\ninconveniences found in the Quasiparticle Random Phase Approximation (QRPA),\nsuch as: i) the extreme sensitivity of the $2\\nu\\beta \\beta$ decay amplitudes\n${\\cal M}_{2{\\nu}}$ on the residual interaction in the particle-particle\nchannel, ii) the ambiguity in treating the intermediate states, and iii) the\nneed for performing a second charge-conserving QRPA to describe the\n$\\beta\\beta$-decays to the excited final states, are not present in the QTDA.\nAlso, the QTDA allows for explicit evaluation of energy distributions of the\ndouble-charge-exchange transition strengths and of their sum rules, and can be\nstraightforwardly applied to single- and double-closed shell nuclei. As an\nexample, the $^{48}$Ca$\\go^{48}$Ti decay is discussed within the $1fp$-shell in\nthe particle-hole limit of the QTDA. The general\n[$(1,1)$-Pad\\\u0027e-approximant-like] behavior of the $2\\nu\\beta \\beta$-decay\namplitude in the plain QRPA as well as within its different variations is\nbriefly reviewed.",
"arxiv_id": "nucl-th/0601007",
"authors": [
"Franjo Krmpoti\u0107"
],
"categories": [
"nucl-th",
"hep-ph"
],
"journal_ref": "FizikaB14:139-164,2005",
"title": "A Novel Nuclear Model for Double Beta Decay",
"url": "https://arxiv.org/abs/nucl-th/0601007"
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