Beta-decay study within multi-reference density functional theory and beyond

Abstract

Pioneering study of Gamow-Teller (GT) and Fermi matrix elements (MEs) using no-core-configuration-interaction formalism rooted in multi-reference density functional theory is presented. After successful test performed for 6He -> 6Li beta-decay, the model is applied to compute MEs in the sd- and pf-shell T=1/2 mirror nuclei. The calculated GT MEs and the isospin-symmetry-breaking corrections to the Fermi branch are found to be in a very good agreement with shell-model predictions in spite of fundamental differences between these models concerning model space, treatment of correlations or inclusion of a core. This result indirectly supports the two-body current based scenarios behind the quenching of axial-vector coupling constant.

5 pages, 6 figures

References in corpus (8)

• $0\nu \beta \beta$ and $2\nu \beta \beta$ nuclear matrix elements in the interacting boson model with isospin restoration
• Beyond Mean-Field Calculations for Odd-A Nuclei
• Spin-orbit and tensor mean-field effects on spin-orbit splitting including self-consistent core polarizations
• Ft values of the T = 1/2 mirror beta transitions
• Solution of the Skyrme-Hartree-Fock-Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis. (VI) HFODD (v2.38j): a new version of the program
• Effects of three-nucleon forces and two-body currents on Gamow-Teller strengths
• Isospin mixing in nuclei within the nuclear density functional theory
• Microscopic calculations of isospin-breaking corrections to superallowed beta-decay

Cited by in corpus (12)

• Neutrinoless double beta decay: 2015 review
• Value of the axial-vector coupling strength in $\beta$ and $\beta \beta$ decays: A review
• r-Process Nucleosynthesis: Connecting Rare-Isotope Beam Facilities with the Cosmos
• Symmetry restoration in mean-field approaches
• Beyond-mean-field approaches for nuclear neutrinoless double beta decay in the standard mechanism
• Precision measurement of the $\beta$-asymmetry in spin-polarized ${}^{37}\mathrm{K}$ decay
• No-core configuration-interaction model for the isospin- and angular-momentum-projected states
• Solution of universal nonrelativistic nuclear DFT equations in the Cartesian deformed harmonic-oscillator basis. (IX) HFODD (v3.06h): a new version of the program
• Gamow-Teller response in the configuration space of DFT-rooted no-core configuration-interaction model
• Mirror energy differences in T=1/2 f7/2-shell nuclei within isospin-dependent DFT
• Precision calculation of isospin-symmetry-breaking corrections to T=1/2 mirror decays using multi-reference charge-dependent density functional theory
• Benchmarking projected generator coordinate method for nuclear Gamow-Teller transitions