Axially Deformed Proton-Neutron Relativistic Quasiparticle Finite Amplitude Method for Charge-Exchange Transitions

Abstract

The quasiparticle finite amplitude method (QFAM) is extended to describe charge-exchange transitions based on the relativistic Hartree-Bogoliubov model, adopting the point-coupling energy density functional DD-PC1 and a finite-range separable pairing force. After validation through comparison with relativistic quasiparticle random-phase approximation (QRPA) results in spherical nuclei, the deformation effects on isobaric analog resonances (IAR) and Gamow-Teller (GT) transitions in Zn isotopes are investigated. The GT strength exhibits significant fragmentation in deformed nuclei. The analysis of summed strengths and centroid energies in GT resonance region between the $K=0$ and $K=1$ components reveals that prolate configurations exhibit stronger $K=1$ strength and lower $K=1$ centroid energy, while oblate shapes show an opposite behavior, with stronger $K=0$ strength and lower $K=0$ energy. The effects of isoscalar pairing on GT strength distributions for different shape configurations are also examined.

References in corpus (18)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
• DIRHB -- a relativistic self-consistent mean-field framework for atomic nuclei
• Current Status of r-Process Nucleosynthesis
• Finite amplitude method for the quasi-particle-random-phase approximation
• Large-scale deformed quasiparticle random-phase approximation calculations of the $\gamma$-ray strength function using the Gogny force
• Axially deformed relativistic Hartree Bogoliubov with separable pairing force
• Nuclear mass table in deformed relativistic Hartree-Bogoliubov theory in continuum, II: Even-$Z$ nuclei
• Particle-vibration coupling effect on the $\beta$-decay of magic nuclei
• Finite Amplitude Method for Charge-Changing Transitions in Axially-Deformed Nuclei
• Spin-isospin nuclear response using the existing microscopic Skyrme functionals
• Gamow-Teller strength in deformed nuclei within the self-consistent charge-exchange quasi-particle random-phase approximation with the Gogny force
• Beyond-mean-field approaches for nuclear neutrinoless double beta decay in the standard mechanism
• Emergent Soft Monopole Modes in Weakly-Bound Deformed Nuclei
• Finite amplitude method on the deformed relativistic Hartree-Bogoliubov theory in continuum: The isoscalar giant monopole resonance in exotic nuclei
• Global calculation of two-neutrino double-$\beta$ decay within the finite amplitude method in nuclear density functional theory
• Two-neutrino double-beta decay matrix elements based on relativistic nuclear energy density functional
• $\beta$-decay half-lives as an indicator of shape-phase transition in neutron-rich Zr isotopes with particle-vibration coupling effect