Isospin mixing and Fermi transitions: Self-consistent deformed mean field calculations and beyond

R. Álvarez-Rodríguez, E. Moya de Guerra, and P. Sarriguren
Phys. Rev. C 71, 044308 – Published 20 April 2005

Abstract

We study Fermi transitions and isospin mixing in an isotopic chain (Kr7078) 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 NZ 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 (NZ)=6, increasing to a few percent with Coulomb interaction. Pairing correlations induce rather large isospin mixing and Fermi transitions of the forbidden type (β for NZ, and β+ for NZ). 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.

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  • Received 29 November 2004

DOI:https://doi.org/10.1103/PhysRevC.71.044308

©2005 American Physical Society

Authors & Affiliations

R. Álvarez-Rodríguez, E. Moya de Guerra, and P. Sarriguren

  • Instituto de Estructura de la Materia, Consejo Superior de Investigaciones Científicas, Serrano 123, E-28006 Madrid, Spain

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Issue

Vol. 71, Iss. 4 — April 2005

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