Energy density functional study of nuclear matrix elements for neutrinoless $\beta \beta$ decay

Abstract

We present an extensive study of nuclear matrix elements (NME) for the neutrinoless double beta decay of the nuclei ${}^{48}$Ca, ${}^{76}$Ge, ${}^{82}$Se, ${}^{96}$Zr, ${}^{100}$Mo, ${}^{116}$Cd, ${}^{124}$Sn, ${}^{128}$Te, ${}^{130}$Te, ${}^{136}$Xe, and ${}^{150}$Nd based on state-of-the-art energy density functional methods using the Gogny D1S functional. Beyond mean-field effects are included within the generating coordinate method with particle number and angular momentum projection for both initial and final ground states. We obtain a rather constant value for the NME's around 4.7 with the exception of ${}^{48}$Ca and ${}^{150}$Nd, where smaller values are found. We analyze the role of deformation and pairing in the evaluation of the NME and present detailed results for the decay of ${}^{150}$Nd.

accepted in Phys. Rev. Lett

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Cited by in corpus (5)

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• The NEXT-100 experiment for neutrinoless double beta decay searches (Conceptual Design Report)
• Neutrinoless Double Beta Decay, the Inverted Hierarchy and Precision Determination of theta(12)
• Origin of a sensitive dependence of calculated $\beta \beta$-decay amplitudes on the particle-particle residual interaction