The 2vββ decay rate within a higher RPA approach

Râduţâ, A. A.; Faessler, Amand; Stoica, S.; Kamiński, Wiesław A.

doi:10.1016/0370-2693(91)90385-4

Cited by 66 publications

(64 citation statements)

References 24 publications

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“…However, the pnQRPA calculations of the more common two-neutrino double beta decay half-lives, which were measured for about 10 cases [24], are very sensitive to the variation of the so called g pp parameter (the strength of the particle-particle interactions in the 1 + channel) [12]- [14], and this drawback still persists in spite of various improvements brought by its extensions [15]- [20], including higher-order QRPA approaches [21]- [23]. The outcome of these attempts was that the calculations became more stable against g pp variation, but at present there are still large differences between the values of the NME calculated with different QRPA-based methods, which do not yet provide a reliable determination of the twoneutrino double beta decay half-life.…”

Section: Introductionmentioning

confidence: 99%

Shell model analysis of competing contributions to the double-βdecay of48Ca

Horoi

2013

Phys. Rev. C

117

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Background: Neutrinoless double beta decay, if observed, would reveal physics beyond the Standard Model (SM) of particle physics, namely it would prove that neutrinos are Majorana fermions and that the lepton number is not conserved. Purpose: The analysis of the results of neutrinoless double beta decay observations requires an accurate knowledge of several nuclear matrix elements (NME) for different mechanism that may contribute to the decay. We provide a complete analysis of these NME for the decay of the ground state (g.s.) of 48 Ca to the g.s. 0 + 1 and first excited 0 + 2 state of 48 Ti. Method: For the analysis we used the nuclear shell model with effective two-body interactions that were fine-tuned to describe the low-energy spectroscopy of pf -shell nuclei. We checked our model by calculating the two-neutrino transition probability to the g.s. of 48 Ti. We also make predictions for the transition to the first excited 0 + 2 state of 48 Ti. Results: We present results for all NME relevant for the neutrinoless transitions to the 0 + 1 and 0 + 2 states, and using the lower experimental limit for the g.s. to g.s. half-life we extract upper limits for the neutrino physics parameters. Conclusions: We provide accurate NME for the two-neutrino and neutrinoless double beta decay transitions in A=48 system, which can be further used to analyze the experimental results of double beta decay experiments when they become available.

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Section: Introductionmentioning

confidence: 99%

Shell model analysis of competing contributions to the double-βdecay of48Ca

Horoi

2013

Phys. Rev. C

117

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“…In the last decade the extensions of the pn-QRPA, which include proton-neutron pairing (full-QRPA) [13], a partial restoration of the Pauli exclusion principle discarded in the pn-QRPA (renormalized QRPA) [14,15] and higher order RPA corrections [16,17], have received much attention in the context of the nuclear structure calculations for the double beta decay. In spite of the fact that these alterations of the pn-QRPA improved reliability of the evaluated matrix elements, further progress of the nuclear approaches dealing with double beta decay is needed.…”

Section: Introductionmentioning

confidence: 99%

Two-neutrino double beta decay of 76Ge within deformed QRPA

2004

Self Cite

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The effect of deformation on the two-neutrino double decay (2νββ-decay) for ground state transition 76 Ge → 76 Se is studied in the framework of the deformed QRPA with separable Gamow-Teller residual interaction. A new suppression mechanism of the 2νββ-decay matrix element based on the difference in deformations of the initial and final nuclei is included. An advantage of this suppression mechanism in comparison with that associated with ground state correlations is that it allows a simultaneous description of the single β and the 2νββ-decay. By performing a detail calculation of the 2νββ-decay of 76 Ge, it is found that the states of intermediate nucleus lying in the region of the Gamow-Teller resonance contribute significantly to the matrix element of this process.

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“…There have been a number of QRPA calculations covering almost all nuclear targets [42,43,44,45,46,47,48,49,50,51,52]. We also have seen some refinements of QRPA, like proton neutron pairing and inclusion of renormalization effects due to Pauli principle corrections [53,54].…”

Section: Introductionmentioning

confidence: 99%

Double-beta decay in gauge theories

Vergados

2000

Phys. Atom. Nuclei

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Abstract. Neutrinoless double beta decay is a very important process both from the particle and nuclear physics point of view. From the elementary particle point of view it pops up in almost every model. In addition to the traditional mechanisms, like the light neutrino mass, λ and η terms etc we can have direct R-parity violating supersymmetric (SUSY) contributions. In any case its observation will severely constrain the existing models and will signal that the neutrinos are massive Majorana particles. From the nuclear physics point of view it is challenging, because: 1) The relevant nuclei have complicated nuclear structure.2) The energetically allowed transitions are exhaust a small part of all the strength. 3) One must cope with the short distance behavior of the transition operators, especially when the intermediate particles are heavy (eg in SUSY models). Thus novel effects, like the double beta decay of pions in flight between nucleons, have to be considered. 4) The intermediate momenta involved are about 100 M eV /c. Thus one has to take into account possible momentum dependent terms in the nucleon current. We find that, for the mass mechanism, such modifications of the nucleon current for light neutrinos reduce the nuclear matrix elements by about 25%, almost regardless of the nuclear model. In the case of heavy neutrino the effect is much larger and model dependent. Taking the above effects into account, the availabe nuclear matrix elements for the experimentally interesting nuclei A = 76, 82, 96, 100, 116, 128, 130, 136 and 150 and the presently available experimental limits on the half-life of the 0νββ-decay we have extracted the following

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The 2vββ decay rate within a higher RPA approach

Cited by 66 publications

References 24 publications

Shell model analysis of competing contributions to the double-βdecay of48Ca

Shell model analysis of competing contributions to the double-βdecay of48Ca

Two-neutrino double beta decay of 76Ge within deformed QRPA

Double-beta decay in gauge theories

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