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Title

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

AuthorsÁlvarez-Rodríguez, Raquel; Moya de Guerra, Elvira ORCID; Sarriguren, Pedro CSIC ORCID
Keywords[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
Issue Date20-Apr-2005
PublisherAmerican Physical Society
CitationPhysical Review C 71(4): 044308 (2005)
AbstractWe 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.
Description9 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
Publisher version (URL)http://link.aps.org/doi/10.1103/PhysRevC.71.044308
URIhttp://hdl.handle.net/10261/15484
DOI10.1103/PhysRevC.71.044308
ISSN0556-2813
E-ISSN1089-490X
Appears in Collections:(CFMAC-IEM) Artículos

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