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

AutorÁlvarez-Rodríguez, Raquel ; Moya de Guerra, Elvira ; Sarriguren, Pedro
Palabras clave[PACS] Nuclear Density Functional Theory and extensions (includes Hartree–Fock and random-phase approximations)
[PACS] Relation with nuclear matrix elements and nuclear structure
[PACS] Spin, parity, and isobaric spin
[PACS] Properties of specific nuclei listed by mass ranges: 59 ≤ A ≤ 89
Fecha de publicación20-abr-2005
EditorAmerican Physical Society
CitaciónPhysical Review C 71(4): 044308 (2005)
ResumenWe study Fermi transitions and isospin mixing in an isotopic chain (70-78Kr) 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 N≠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 (N-Z)=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 N≤Z, and β+ for N≥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.
Descripción9 pages, 4 tables, 5 figures.-- PACS nrs.: 21.60.Jz; 23.40.Hc; 21.10.Hw; 27.50.+e.-- ArXiv pre-print available at: http://arxiv.org/abs/nucl-th/0502086v1
Versión del editorhttp://link.aps.org/doi/10.1103/PhysRevC.71.044308
ISSN0556-2813 (Print)
1089-490X (Online)
1538-4497 (CD-ROM)
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