English

Isospin mixing in nuclei within the nuclear density functional theory

Nuclear Theory 2009-09-02 v1

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.

Keywords

Cite

@article{arxiv.0903.1182,
  title  = {Isospin mixing in nuclei within the nuclear density functional theory},
  author = {W. Satula and J. Dobaczewski and W. Nazarewicz and M. Rafalski},
  journal= {arXiv preprint arXiv:0903.1182},
  year   = {2009}
}

Comments

submitted to Physical Review Letters

R2 v1 2026-06-21T12:19:04.644Z