2019-04-19T00:53:39Z
http://digital.csic.es/dspace-oai/request
oai:digital.csic.es:10261/15484
2019-02-13T10:12:57Z
com_10261_135
com_10261_4
col_10261_388
Isospin mixing and Fermi transitions: Self-consistent deformed mean field calculations and beyond
Álvarez-Rodríguez, Raquel
Moya de Guerra, Elvira
Sarriguren, Pedro
[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
9 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
We 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.
2009-07-29T10:56:24Z
2009-07-29T10:56:24Z
2005-04-20
Artículo
Physical Review C 71(4): 044308 (2005)
0556-2813
http://hdl.handle.net/10261/15484
10.1103/PhysRevC.71.044308
1089-490X
eng
http://link.aps.org/doi/10.1103/PhysRevC.71.044308
openAccess
American Physical Society