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- W2078391907 abstract "We study Fermi transitions and isospin mixing in an isotopic chain $(^{70text{ensuremath{-}}78}mathrm{Kr})$ considering various approximations that use the same Skyrme-Hartree-Fock single-particle basis. We study Coulomb effects as well as the effect of BCS and quasiparticle random phase approximation (QRPA) correlations. A measure of isospin mixing in the approximate ground state is defined by means of the expectation value of the isospin operator squared in $N=Z$ nuclei (which is generalized to $Nensuremath{ne}Z$ nuclei). Starting from a strict Hartree-Fock approach without Coulomb interaction, it is shown that the isospin breaking is negligible, on the order of a few per thousand for $(Nensuremath{-}Z)=6$, increasing to a few percent with Coulomb interaction. Pairing correlations induce rather large isospin mixing and Fermi transitions of the forbidden type $({ensuremath{beta}}^{ensuremath{-}}$ for $Nensuremath{le}Z$, and ${ensuremath{beta}}^{+}$ for $Nensuremath{ge}Z)$. The enhancement produced by BCS correlations is compensated to a large extent by QRPA correlations induced by isospin-conserving residual interactions that tend to restore isospin symmetry." @default.
- W2078391907 created "2016-06-24" @default.
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- W2078391907 date "2005-04-20" @default.
- W2078391907 modified "2023-09-26" @default.
- W2078391907 title "Isospin mixing and Fermi transitions: Self-consistent deformed mean field calculations and beyond" @default.
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- W2078391907 doi "https://doi.org/10.1103/physrevc.71.044308" @default.
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