$2\nu \beta \beta$-decay to first $2^{+}$ state with partial isospin symmetry restoration from spherical QRPA calculations

Abstract

With partially restored isospin symmetry, we calculate the nuclear matrix element for a special decay mode of $2\nu \beta \beta$ (two neutrino double beta decay) -- the decay to the first $2^{+}$ excited states. With the realistic CD-Bonn nuclear force, we analyze the dependence of the nuclear matrix elements on the iso-vector and iso-scalar parts of proton-neutron particle-particle interaction. The dependence on the different nuclear matrix element is observed and the results are explained. We also give the phase space factors with numerical electron wave functions and properly chosen excitation energies. Finally we give our results for the half-lives of this decay mode for different nuclei.

9 pages, 3 figures, to be published in Chinese Physics C

References in corpus (6)

• Phase space factors for double-$\beta$ decay
• $0\nu \beta \beta$ and $2\nu \beta \beta$ nuclear matrix elements, QRPA, and isospin symmetry restoration
• Average and recommended half-life values for two neutrino double beta decay
• Shell-model calculations of two-neutrino double-beta decay rates of ${}^{48}$Ca with GXPF1A interaction
• Origin of a sensitive dependence of calculated $\beta \beta$-decay amplitudes on the particle-particle residual interaction
• Double Beta Decay to the Excited States: Review

Cited by in corpus (3)

• NMEs for $0\nu \beta \beta (0^{+}\to 2^{+})$ of two-nucleon mechanism for ${}^{76}$Ge
• Double-beta decay of ${}^{150}$Nd to excited levels of ${}^{150}$Sm
• $0\nu \beta \beta$ to the first $2^{+}$ state with two-nucleon mechanism for L-R symmetric model