Neutrinoless double beta decay within Self-consistent Renormalized Quasiparticle Random Phase Approximation and inclusion of induced nucleon currents

Abstract

The first, to our knowledge, calculation of neutrinoless double beta decay ($0\nu \beta \beta$-decay) matrix elements within the self-consistent renormalised Quasiparticle Random Phase Approximation (SRQRPA) is presented. The contribution from the momentum-dependent induced nucleon currents to $0\nu \beta \beta$-decay amplitude is taken into account. A detailed nuclear structure study includes the discussion of the sensitivity of the obtained SRQRPA results for $0\nu \beta \beta$-decay of ${}^{76}$Ge to the parameters of nuclear Hamiltonian, two-nucleon short-range correlations and the truncation of the model space. A comparision with the standard and renormalized QRPA is presented. We have found a considerable reduction of the SRQRPA nuclear matrix elements, resulting in less stringent limits for the effective neutrino mass.

13 pages, 3 figures, 1 table

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Cited by in corpus (19)

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• Neutrinoless Double-Beta Decay: a Probe of Physics Beyond the Standard Model
• Large-Scale Calculations of the Double-Beta Decay of 76Ge, 130Te, 136Xe, and 150Nd in the Deformed Self-Consistent Skyrme Quasiparticle Random-Phase Approximation
• Neutrinoless double-beta decay. A brief review
• Light-neutrino mass hierarchies, nuclear matrix elements, and the observability of neutrinoless double-beta decay
• What can we learn from neutrinoless double beta decay experiments?
• Neutrino beams as a probe of the nuclear isospin and spin-isospin excitations
• $0\nu \beta \beta$ nuclear matrix elements and the occupancy of individual orbits
• The Majorana Neutrinoless Double-Beta Decay Experiment
• The Majorana neutrino masses, neutrinoless double beta decay and nuclear matrix elements
• Neutrino-nucleus interactions as a probe to constrain double-beta decay predictions
• Double beta decay versus cosmology: Majorana CP phases and nuclear matrix elements
• Isoscalar pairing interaction for the quasiparticle random-phase approximation approach to double-$\beta$ and $\beta$ decays
• Overlap of QRPA states based on ground states of different nuclei --mathematical properties and test calculations--
• Scaling Factor Inconsistencies in Neutrinoless Double Beta Decay
• Recent advances in neutrinoless double beta decay search
• Experimental research of double beta decay of atomic nuclei