NMEs for $0\nu \beta \beta (0^{+}\to 2^{+})$ of two-nucleon mechanism for ${}^{76}$Ge

Abstract

In this work we present the first beyond closure calculation for the neutrinoless double beta decay ($0\nu \beta \beta$) of ${}^{76}$Ge to the first $2^{+}$ states of ${}^{76}$Se. The isospin symmetry restored Quasi-particle random phase approximation (QRPA) method with the CD-Bonn realistic force is adopted for the nuclear structure calculations. We analyze the structure of the two nucleon mechanism nuclear matrix elements, and estimate the uncertainties from the nuclear many-body calculations. We find $g_{pp}$ plays an important role for the calculations and if quenching is included, suppression for the transition matrix element $M_{\lambda }$ is found. Our results for the transition matrix elements are about one order of magnitude larger than previous projected Hatree-Fock-Boglyubov results with the closure approximation.

10 pages, 4 figures

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Cited by in corpus (5)

• Beyond-mean-field approaches for nuclear neutrinoless double beta decay in the standard mechanism
• Study of one-proton transfer reaction for the ${}^{18}$O + ${}^{48}$Ti system at 275 MeV
• One-neutron transfer reaction in the ${}^{18}$O + ${}^{48}$Ti collision at 275 MeV
• Subspace-projected multireference covariant density functional theory
• $0\nu \beta \beta$ to the first $2^{+}$ state with two-nucleon mechanism for L-R symmetric model