Two-neutrino double beta decay within Fully-Renormalized QRPA: Effect of the restoration of the Ikeda sum rule

Abstract

The recently proposed Fully-Renormalized QRPA (FR-QRPA), which fullfils the Ikeda sum rule (ISR) exactly, is applied to the two-neutrino double beta decay of ${}^{76}$Ge, ${}^{82}$Se, ${}^{100}$Mo, ${}^{116}$Cd, ${}^{128}$Te and ${}^{130}$Xe. The results obtained are compared with those of other approaches, standard QRPA and self-consistent QRPA (SCQRPA). The similarities and the differences among the methods are discussed. The influence of the restoration of the Ikeda sum rule on the $2\nu \beta \beta$-decay amplitude is analyzed.

arXiv comment20 pages, 8 figures

References in corpus (10)

• Double Beta Decay
• Additional Nucleon Current Contributions to Neutrinoless Double Beta Decay
• Double Beta Decay
• B-L-violating Masses in Softly Broken Supersymmetry
• Dominance of Pion-exchange in R-parity Violating Supersymmetry Contributions to Neutrinoless Double Beta Decay
• Pions in Nuclei and Manifestations of Supersymmetry in Neutrinoless Double Beta Decay
• Neutrinoless Double Beta Decay of Ge76, Se82, Mo100 and Xe136 to excited 0^+ states
• Quasiparticle Random Phase Approximation with inclusion of the Pauli Exclusion Principle
• Fully-Renormalized QRPA fulfills Ikeda sum rule exactly
• Double-beta decay matrix elements for Ge-76

Cited by in corpus (10)

• Large-Scale Calculations of the Double-Beta Decay of 76Ge, 130Te, 136Xe, and 150Nd in the Deformed Self-Consistent Skyrme Quasiparticle Random-Phase Approximation
• The Majorana neutrino masses, neutrinoless double beta decay and nuclear matrix elements
• Equation of Motion Method to strongly correlated Fermi systems and Extended RPA approaches
• Isoscalar pairing interaction for the quasiparticle random-phase approximation approach to double-$\beta$ and $\beta$ decays
• Overlap of QRPA states based on ground states of different nuclei --mathematical properties and test calculations--
• Overlap of quasiparticle random-phase approximation states for nuclear matrix elements of the neutrino-less double beta decay
• Partial restoration of spin-isospin SU(4) Symmetry and the One-QRPA method in Double Beta Decay
• Large-scale shell-model study of two-neutrino double-beta decay of ${}^{82}$Se, ${}^{94}$Zr, ${}^{108}$Cd, ${}^{124}$Sn, ${}^{128}$Te, ${}^{130}$Te, ${}^{136}$Xe, and ${}^{150}$Nd
• Two decay paths for calculation of nuclear matrix element of neutrinoless double-beta decay using quasiparticle random-phase approximation
• Large-scale shell-model study of 2$\nu$ECEC process in ${}^{78}$Kr