Isospin mixing in nuclei around N=Z and the superallowed beta-decay

Abstract

Theoretical approaches that use one-body densities as dynamical variables, such as Hartree-Fock or the density functional theory (DFT), break isospin symmetry both explicitly, by virtue of charge-dependent interactions, and spontaneously. To restore the spontaneously broken isospin symmetry, we implemented the isospin-projection scheme on top of the Skyrme-DFT approach. This development allows for consistent treatment of isospin mixing in both ground and exited nuclear states. In this study, we apply this method to evaluate the isospin impurities in ground states of even-even and odd-odd N~Z nuclei. By including simultaneous isospin and angular-momentum projection, we compute the isospin-breaking corrections to the 0+ --> 0+ superallowed beta-decay.

arXiv commentPresented at the International Conference on Nuclear Structure "Nuclear Landscape at the Limits", Zakopane, Poland, 2010

References in corpus (1)

• Comparative tests of isospin-symmetry-breaking corrections to superallowed 0+-to-0+ nuclear beta decay

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• Beta Decays and Non-Standard Interactions in the LHC Era
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• Isospin-breaking corrections to superallowed Fermi beta-decay in isospin- and angular-momentum-projected nuclear Density Functional Theory
• Isospin effects in N~Z nuclei in extended Density Functional Theory
• Propagation of uncertainties in the nuclear DFT models
• Isospin mixing in the vicinity of the N=Z line
• Microscopic calculations of isospin mixing in N~Z nuclei and isospin-symmetry-breaking corrections to the superallowed beta-decay
• Superallowed Fermi transitions in RPA with a relativistic point-coupling energy functional
• Vud from Nuclear Decays