Fully-Renormalized QRPA fulfills Ikeda sum rule exactly

Abstract

The renormalized quasiparticle-RPA is reformulated for even-even nuclei using restrictions imposed by the commutativity of the phonon creation operator with the total particle number operator. This new version, Fully-Renormalized QRPA (FR-QRPA), is free from the spurious low-energy solutions. Analytical proof is given that the Ikeda sum rule is fullfiled within the FR-QRPA.

9 pages

References in corpus (2)

• Double Beta Decay
• Neutrinoless Double Beta Decay of Ge76, Se82, Mo100 and Xe136 to excited 0^+ states

Cited by in corpus (10)

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• The Majorana neutrino masses, neutrinoless double beta decay and nuclear matrix elements
• Modified Hartree-Fock-Bogoliubov at finite temperature
• Two-neutrino double beta decay within Fully-Renormalized QRPA: Effect of the restoration of the Ikeda sum rule
• Overlap of QRPA states based on ground states of different nuclei --mathematical properties and test calculations--
• Partial restoration of spin-isospin SU(4) Symmetry and the One-QRPA method in Double Beta Decay
• New results for the fully renormalized proton-neutron quasiparticle random phase approximation
• Two decay paths for calculation of nuclear matrix element of neutrinoless double-beta decay using quasiparticle random-phase approximation