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.

arXiv comment34 pages, 14 figures

References in corpus (53)

• The Shell Model as Unified View of Nuclear Structure
• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• Novel features of nuclear forces and shell evolution in exotic nuclei
• Nuclear weak-interaction processes in stars
• Nuclear matter symmetry energy and the neutron skin thickness of heavy nuclei
• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• Large scale evaluation of beta-decay rates of r-process nuclei with the inclusion of first-forbidden transitions
• Superallowed 0+ --> 0+ nuclear beta decays: 2014 critical survey, with precise results for Vud and CKM unitarity
• Quasiparticle random phase approximation based on the relativistic Hartree-Bogoliubov model
• Beta decay of r-process waiting-point nuclei in a self-consistent approach
• Density-Dependent Relativistic Hartree-Fock Approach
• Spherical Relativistic Hartree theory in a Woods-Saxon basis
• Halos in medium-heavy and heavy nuclei with covariant density functional theory in continuum
• Shell Structure and $\rho$-Tensor Correlations in Density-Dependent Relativistic Hartree-Fock theory
• Finite amplitude method for the RPA solution
• Quasiparticle random phase approximation based on the relativistic Hartree-Bogoliubov model II: Nuclear spin and isospin excitations
• Spin-isospin resonances: A self-consistent covariant description
• $\beta$-decay half-lives of neutron-rich nuclei and matter flow in the $r$-process
• 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
• Relativistic Hartree-Fock-Bogoliubov theory with Density Dependent Meson-Nucleon Couplings
• The time-dependent relativistic mean-field theory and the random phase approximation
• Shell-model half-lives for the N=82 nuclei and their implications for the r-process
• Proton elastic scattering from tin isotopes at 295 MeV and systematic change of neutron density distributions
• Global description of beta-minus decay in even-even nuclei with the axially-deformed Skyrme finite amplitude method
• Nuclear halo structure and pseudo-spin symmetry
• Effect of the tensor force on the charge-exchange spin-dipole excitations of 208Pb
• Superheavy magic structures in the relativistic Hartree-Fock-Bogoliubov approach
• Beta-decay rates of r-process nuclei in the relativistic quasiparticle random phase approximation
• Application of the RMF mass model to the r-process and the influence of mass uncertainties
• Impact of tensor force on β-decay of magic and semi-magic nuclei
• Calculation of beta-decay rates in a relativistic model with momentum-dependent self-energies
• Inclusive charged-current neutrino-nucleus reactions calculated with the relativistic quasiparticle random phase approximation
• 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
• Beta-decay properties of Zr and Mo neutron-rich isotopes
• Finite Amplitude Method for Charge-Changing Transitions in Axially-Deformed Nuclei
• Influence of nuclear physics inputs and astrophysical conditions on Th/U chronometer
• Spin-isospin nuclear response using the existing microscopic Skyrme functionals
• Magicity of neutron-rich isotopes within relativistic self-consistent approaches
• The fully self-consistent quasiparticle random phase approximation and its application to the isobaric analog resonances
• Feasibility of the finite amplitude method in covariant density functional theory
• The Nuclear Tensor Interaction in Covariant Energy Density Functional
• Nuclear ${\beta }^{+}$/EC decays in covariant density functional theory and the impact of isoscalar proton-neutron pairing
• Gamow-Teller response in deformed even and odd neutron-rich Zr and Mo isotopes
• Fine structure of charge-exchange spin-dipole excitations in ${}^{16}$O
• Pairing phase transition: A Finite-Temperature Relativistic Hartree-Fock-Bogoliubov study
• Spin-isospin response of deformed neutron-rich nuclei in a self-consistent Skyrme energy-density-functional approach
• Nuclear $\beta$-decay half-lives in the relativistic point-coupling model
• Relativistic RPA for Isobaric Analogue and Gamow-Teller Resonances in Closed Shell Nuclei
• The Gamow-Teller Resonance in Finite Nuclei in the Relativistic Random Phase Approximation
• The role of the Dirac sea in the quenching of Gamow-Teller strength
• Chiral pion-nucleon dynamics in finite nuclei: spin-isospin excitations

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• Nuclear Equation of State from ground and collective excited state properties of nuclei
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• Towards an ab initio covariant density functional for nuclear structure
• Beyond-mean-field approaches for nuclear neutrinoless double beta decay in the standard mechanism
• Quantitative analysis of tensor effects in the relativistic Hartree-Fock theory
• Shell-model-like approach based on cranking covariant density functional theory: bandcrossing and shape evolution in ${}^{60}$Fe
• Relativistic Hartree-Fock-Bogoliubov model for axially deformed nuclei
• Gamow-Teller excitations at finite temperature: Competition between pairing and temperature effects
• Pseudo-spin symmetry restoration and the in-medium balance between nuclear attractive and repulsive interactions
• Relativistic interpretation on the nature of nuclear tensor force
• Nuclear charge-exchange excitations based on relativistic density-dependent point-coupling model
• Stellar electron capture rates based on finite temperature relativistic quasiparticle random-phase approximation
• Combination of complex momentum representation and Green's function methods in relativistic mean-field theory
• Nuclear mass predictions based on convolutional neural network
• Low-energy quadrupole states in neutron-rich tin nuclei
• The Neutron Star Outer Crust Equation of State: A Machine Learning approach
• Finite-temperature linear response theory based on relativistic Hartree Bogoliubov model with point-coupling interaction
• Quenched Λ spin-orbit splitting by relativistic Fock diagram in single-Λ hypernuclei
• Covariant energy density functionals with and without tensor couplings at the Hartree-Bogoliubov level
• Restoration of pseudo-spin symmetry in $N=32$ and $34$ isotones described by relativistic Hartree-Fock theory
• Tensor-force effects on shell-structure evolution in $N=82$ isotones and $Z=50$ isotopes in the relativistic Hartree-Fock theory
• Exploring effects of tensor force and its strength via neutron drops
• Theory of nuclear collective vibrations
• Axially Deformed Proton-Neutron Relativistic Quasiparticle Finite Amplitude Method for Charge-Exchange Transitions
• Impact of the nuclear mass uncertainties on the r process
• Recent applications of the subtracted second RPA method