Neutrinoless double beta decay of ${}^{150}$Nd with account for deformation

Abstract

A microscopic state-of-the-art calculation of the nuclear matrix element for neutrinoless double beta decay of ${}^{150}$Nd with an account for nuclear deformation is performed. The proton-neutron quasiparticle random phase approximation (QRPA) with a realistic residual interaction [the Brueckner $G$ matrix derived from the charge-depending Bonn (Bonn-CD) nucleon-nucleon potential] is used as the underlying nuclear structure model. The present calculated matrix element is suppressed by about 40% as compared with our previous QRPA result for ${}^{150}$Nd obtained with neglect of deformation. By making use of this newest nuclear matrix element, one may conclude that neutrinoless double beta decay of ${}^{150}$Nd, to be measured soon by the SNO+ collaboration, provides one of the best probes of the Majorana neutrino mass.

7 pages, to be published in PRC

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• Nuclear matrix element of neutrinoless double-$\beta$ decay: Relativity and short-range correlations
• Relativistic description of nuclear matrix elements in neutrinoless double-$\beta$ decay
• Beyond-mean-field approaches for nuclear neutrinoless double beta decay in the standard mechanism
• Sense and sensitivity of double beta decay experiments
• Neutrinoless Double Beta Decay, the Inverted Hierarchy and Precision Determination of theta(12)
• Variational approach with the superposition of the symmetry-restored quasi-particle vacua for nuclear shell-model calculations
• Electron Capture in 163Ho and Overlap plus Exchange Corrections and the Neutrino Mass
• Origin of a sensitive dependence of calculated $\beta \beta$-decay amplitudes on the particle-particle residual interaction
• Nuclear structure calculations for two-neutrino double-beta decay
• Benchmarking nuclear matrix elements of $0\nu \beta \beta$ decay with high-energy nuclear collisions