Isospin mixing in nuclei within the nuclear density functional theory

Abstract

We present the self-consistent, non-perturbative analysis of isospin mixing using the nuclear density functional approach and the rediagonalization of the Coulomb interaction in the good-isospin basis. The largest isospin-breaking effects are predicted for N = Z nuclei and they quickly fall with the neutron excess. The unphysical isospin violation on the mean-field level, caused by the neutron excess, is eliminated by the proposed method. We find a significant dependence of the magnitude of isospin breaking on the parametrization of the nuclear interaction term. A rough correlation has been found between the isospin mixing parameter and the difference of proton and neutron rms radii. The theoretical framework described in this study is well suited to describe a variety of phenomena associated with isospin violation in nuclei, in particular the isospin symmetry-breaking corrections to superallowed Fermi beta decays.

submitted to Physical Review Letters

References in corpus (10)

• Superallowed 0+ to 0+ nuclear beta decays: A new survey with precision tests of the conserved vector current hypothesis and the standard model
• Shell Structure of the Superheavy Elements
• An improved calculation of the isospin-symmetry-breaking corrections to superallowed Fermi beta decay
• Superallowed nuclear beta decays: A critical survey with tests of CVC and the standard model
• Dynamical response of the nuclear pasta in neutron star crusts
• Isospin-mixing corrections for fp-shell Fermi transitions
• Charge Symmetry Breaking and QCD
• Solution of the Skyrme-Hartree-Fock-Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis. (IV) HFODD (v2.07f): a new version of the program
• Isospin-symmetry-breaking corrections to superallowed Fermi beta decay: Formalism and schematic models
• Isospin mixing of isospin-projected Slater determinants: formalism and preliminary applications

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