Self-consistent relativistic quasiparticle random-phase approximation and its applications to charge-exchange excitations and $\beta$-decay half-lives

Abstract

The self-consistent quasiparticle random-phase approximation (QRPA) approach is formulated in the canonical single-nucleon basis of the relativistic Hatree-Fock-Bogoliubov (RHFB) theory. This approach is applied to study the isobaric analog states (IAS) and Gamov-Teller resonances (GTR) by taking Sn isotopes as examples. It is found that self-consistent treatment of the particle-particle residual interaction is essential to concentrate the IAS in a single peak for open-shell nuclei and the Coulomb exchange term is very important to predict the IAS energies. For the GTR, the isovector pairing can increase the calculated GTR energy, while the isoscalar pairing has an important influence on the low-lying tail of the GT transition. Furthermore, the QRPA approach is employed to predict nuclear $\beta$-decay half-lives. With an isospin-dependent pairing interaction in the isoscalar channel, the RHFB+QRPA approach almost completely reproduces the experimental $\beta$-decay half-lives for nuclei up to the Sn isotopes with half-lives smaller than one second. Large discrepancies are found for the Ni, Zn, and Ge isotopes with neutron number smaller than $50$, as well as the Sn isotopes with neutron number smaller than $82$. The potential reasons for these discrepancies are discussed in detail.

34 pages, 14 figures

References in corpus (16)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• Shell Structure and $\rho$-Tensor Correlations in Density-Dependent Relativistic Hartree-Fock theory
• Spin-isospin resonances: A self-consistent covariant description
• Isospin corrections for superallowed Fermi beta decay in self-consistent relativistic random phase approximation approaches
• Evolution of Nuclear Shell Structure due to the Pion Exchange Potential
• Proton elastic scattering from tin isotopes at 295 MeV and systematic change of neutron density distributions
• Nuclear halo structure and pseudo-spin symmetry
• Calculation of beta-decay rates in a relativistic model with momentum-dependent self-energies
• Stellar electron-capture rates calculated with the finite-temperature relativistic random-phase approximation
• Non-local mean field effect on nuclei near Z=64 sub-shell
• Finite Amplitude Method for Charge-Changing Transitions in Axially-Deformed Nuclei
• Spin-isospin nuclear response using the existing microscopic Skyrme functionals
• The Nuclear Tensor Interaction in Covariant Energy Density Functional
• Gamow-Teller response in deformed even and odd neutron-rich Zr and Mo isotopes
• Chiral pion-nucleon dynamics in finite nuclei: spin-isospin excitations

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