Isospin effects in N~Z nuclei in extended Density Functional Theory

Abstract

This paper overviews various phenomena related to the concept of isospin symmetry. The focus is on N~Z nuclei, which are excellent laboratories of isospin physics. The theoretical framework applied is nuclear Density Functional Theory and its isospin- and angular-momentum projected extensions, as well as symmetry-projected multi-reference models. The topics covered include: isospin impurities, superallowed beta decays, beta-transitions in mirror nuclei, isospin breaking hadronic interactions, mirror and triplet binding energy differences, and isoscalar pairing.

submitted to Physica Scripta to the Focus Issue on Nuclear Structure: Celberating the 75 Nobel Prize

References in corpus (27)

• Ab initio calculation of the neutron-proton mass difference
• Superallowed 0+ to 0+ nuclear beta decays: A new survey with precision tests of the conserved vector current hypothesis and the standard model
• An improved calculation of the isospin-symmetry-breaking corrections to superallowed Fermi beta decay
• Overview of Neutron-Proton Pairing
• Systematic study of nuclear matrix elements in neutrinoless double-beta decay with a beyond mean-field covariant density functional theory
• Isospin corrections for superallowed Fermi beta decay in self-consistent relativistic random phase approximation approaches
• Beyond Mean-Field Calculations for Odd-A Nuclei
• 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
• Comparative tests of isospin-symmetry-breaking corrections to superallowed 0+-to-0+ nuclear beta decay
• Isospin-symmetry-breaking corrections to superallowed Fermi beta decay: Formalism and schematic models
• Effects of three-nucleon forces and two-body currents on Gamow-Teller strengths
• Coulomb corrections to superallowed beta decay in nuclei
• Isospin mixing in nuclei within the nuclear density functional theory
• Microscopic calculations of isospin-breaking corrections to superallowed beta-decay
• Mirror energy difference and the structure of loosely bound proton-rich nuclei around A = 20
• Angular momentum projection of cranked Hartree-Fock states: Application to terminating bands in A~44 nuclei
• Isoscalar and isovector pairing in a formalism of quartets
• Isospin nonconserving interaction in the T=1 analogue states of the mass-70 region
• 6He beta-decay rate and the suppression of the axial constant in nuclear matter
• Pairing theory of the symmetry energy
• Isovector proton-neutron pairing and Wigner energy in Hartree-Fock mean field calculations
• Simple regularization scheme for multi-reference density functional theories
• Shell-model study of mirror nuclei with modern charge-dependent \textit{NN} potential
• Isospin mixing in nuclei around N=Z and the superallowed beta-decay
• Isospin mixing in the vicinity of the N=Z line
• Pairing versus quarteting coherence length

Cited by in corpus (10)

• Beyond the Unified Model
• Microscopically-based energy density functionals for nuclei using the density matrix expansion: Full optimization and validation
• No-core configuration-interaction model for the isospin- and angular-momentum-projected states
• Challenges in Nuclear Structure Theory
• Testing isospin symmetry breaking in ab initio nuclear theory
• Surprising charge-radius kink in the Sc isotopes at N=20
• High-precision $Q_{EC}$-value measurement of the superallowed ${\beta }^{+}$ emitter ${}^{22}$Mg and an evaluation of the $A=22$ isobaric triplet
• A Search for $0^{+}$ States in ${}^{50}$Cr: Implications for the Superallowed $\beta$-decay of ${}^{50}$Mn
• Goodness of Isospin in Neutron Rich Systems from the Fission Fragment Distribution
• Quadrupole Strength in Isobaric Triplets