Limitations of the number selfconsistent Random Phase Approximation

Abstract

The Quasiparticle Random Phase Approximation equations are solved taking into account the Pauli Principle at the expectation value level, and allowing changes in the mean field occupation numbers to minimize the energy while having the correct number of particles in the correlated vacuum. The study of Fermi pn excitations in ${}^{76}$Ge using a realistic Hilbert space shows that the pairing energy gaps in the modified mean field are diminished up to one half of the experimental value when strong proton-neutron correlations are present. Additionally, the Ikeda sum rule for Fermi transitions is violated due to the lack of scattering terms in the phonon operators. These results call for a critical revision of the double beta decay half-lives estimated using the QRPA extensions when standard QRPA calculations collapse.

15 pages, latex, 6 ps-figures. Phys. Rev. C61,(2000)54301

References in corpus (5)

• Additional Nucleon Current Contributions to Neutrinoless Double Beta Decay
• Double Beta Decay
• Consistent BCS+RQRPA formalism with application to the double beta decay
• Self consistent random phase approximation within the O(5) model and Fermi transitions
• Self Consistent and Renormalized particle-particle RPA in a Schematic Model

Cited by in corpus (4)

• Effects of orbital occupancies on the neutrinoless beta-beta matrix element of 76Ge
• Neutrinoless double beta decay within Self-consistent Renormalized Quasiparticle Random Phase Approximation and inclusion of induced nucleon currents
• Quasiparticle Random Phase Approximation with an optimal Ground State
• Collapse of the random phase approximation: examples and counter-examples from the shell model