New BCS and renormalized QRPA formalism with application to double beta decay

Bobyk, A.; Kamiński, Wiesław A.; Zareba, Piotr

doi:10.1007/s100500050301

Cited by 33 publications

(25 citation statements)

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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

118

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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

118

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“…In order to perform calculations in realistic Hilbert spaces we will include in this first step only the like-particles part of the Hamiltonian, while the ground state |0 will be sensitive to proton-neutron interaction through the RPA equations, following a philosophy close to Ref [24]. From here on we will refer to this approximation as SRQRPA.…”

Section: Renormalized Gap and Number Equationsmentioning

confidence: 99%

Limitations of the number self-consistent random phase approximation

Mariano

Hirsch

2000

Phys. Rev. C

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The Quasiparticle Random Phase Approximation equations are solved taking into account the Pauli Principle at the expectation value level, and allowing changes in the mean field occupation numbers to minimize the energy while having the correct number of particles in the correlated vacuum. The study of Fermi pn excitations in 76 Ge using a realistic Hilbert space shows that the pairing energy gaps in the modified mean field are diminished up to one half of the experimental value when strong proton-neutron correlations are present. Additionally, the Ikeda sum rule for Fermi transitions is violated due to the lack of scattering terms in the phonon operators. These results call for a critical revision of the double beta decay half-lives estimated using the QRPA extensions when standard QRPA calculations collapse. PACS numbers: 21.60.Jz, 23.40.-s * Fellow of the CONICET, Argentina. On leave

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“…The aim of the present letter is to discuss the nuclear physics aspects of the pn-QRPA [9], the renormalized pn-QRPA (pn-RQRPA) [12,13] and the self-consistent pn-RQRPA (pn-SRQRPA) [16,17] calculation of the nuclear matrix element M mee for 0νββ-decay of 76 Ge. We note that the pn-SRQRPA results on 0νββ-decay matrix elements have been not presented in the literature till now.…”

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confidence: 99%

Neutrinoless doubleβdecay within the self-consistent renormalized quasiparticle random phase approximation and inclusion of induced nucleon currents

2001

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The first, to our knowledge, calculation of neutrinoless double beta decay (0νββ-decay ) matrix elements within the self-consistent renormalized Quasiparticle Random Phase Approximation (SRQRPA) is presented. The contribution from the momentum-dependent induced nucleon currents to 0νββ-decay amplitude is taken into account. A detailed nuclear structure study includes the discussion of the sensitivity of the obtained SRQRPA results for 0νββ-decay of 76 Ge to the parameters of nuclear Hamiltonian, two-nucleon short-range correlations and the truncation of the model space. A comparison with the standard and renormalized QRPA results is presented. We have found a considerable reduction of the SRQRPA nuclear matrix elements, resulting in less stringent limits for the effective neutrino mass. PACS numbers:23.40. Hc, 21.60.Jz, 27.50.+e, 27.60.+j The neutrino mass and mixing of neutrinos are the main subject of the elementary 1

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New BCS and renormalized QRPA formalism with application to double beta decay

Cited by 33 publications

References 1 publication

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

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

Limitations of the number self-consistent random phase approximation

Neutrinoless doubleβdecay within the self-consistent renormalized quasiparticle random phase approximation and inclusion of induced nucleon currents

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