Isospin mixing in nuclei within the nuclear density functional theory

Details Isospin mixing in nuclei within the nuclear density functional theory Isospin mixing in nuclei within the nuclear density functional theory

2009-03-06

arxiv.org/abs/0903.1182v1

Phys.Rev.Lett.103:012502,2009

Physics

Nuclear Physics

Nuclear Theory

submitted to Physical Review Letters

Scientific paper

10.1103/PhysRevLett.103.012502

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.

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