Projected Linear Response Theory for Charge-Exchange Excitations and Double Beta Decay

Abstract

The projected random phase approximation (PRPA) for charge-exchange excitations is derived from the time-dependent variational principle. Explicit results for the unperturbed energies (including the self-energy corrections), the PRPA matrices, and the transition matrix elements are presented. The effect of the projection procedure on the two-neutrino $\beta \beta$ decay in ${}^{76}Ge$ is briefly discussed.

12 pages text (LaTex) and 1 figure upon request, to be published in Phys. Lett. B

References in corpus (1)

• General Behavior of Double Beta Decay Amplitudes in the Quasiparticle Random Phase Approximation

Cited by in corpus (12)

• Double Beta Decay
• The Pauli principle, QRPA and the two-neutrino double beta decay
• Neutrino and antineutrino charge-exchange reactions on 12C
• Neutrino-Nucleus Reactions and Muon Capture in 12C
• Self consistent random phase approximation within the O(5) model and Fermi transitions
• Detection of supernovae neutrinos with neutrino-iron scattering
• RPA puzzle in C(12) weak decay processes
• Two neutrino double beta decay within the $\xi$-approximation
• QRAP: a numerical code for projected (Q)uasi-particle (RA)ndom (P)hase approximation
• A Nuclear Structure Model for Double Charge-Exchange Processes
• Partial restoration of spin-isospin SU(4) Symmetry and the One-QRPA method in Double Beta Decay
• Pairing Correlations in Odd-Mass Carbon Isotopes and Effect of Pauli Principle in Particle-Core Coupling in 13C and 11Be