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.

arXiv comment7 pages, to be published in PRC

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• Benchmarking nuclear matrix elements of $0\nu \beta \beta$ decay with high-energy nuclear collisions