dorsal/arxiv
View SchemaIsospin mixing and Fermi transitions: Selfconsistent deformed mean field calculations and beyond
| Authors | R. Alvarez-Rodriguez, E. Moya de Guerra, P. Sarriguren |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0502086 |
| URL | https://arxiv.org/abs/nucl-th/0502086 |
| DOI | 10.1103/PhysRevC.71.044308 |
| Journal | Phys.Rev. C71 (2005) 044308 |
Abstract
We study Fermi transitions and isospin mixing in an isotopic chain 70-78 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 N different from Z nuclei). Starting from strict Hartree-Fock approach without Coulomb, 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. Pairing correlations induce rather large isospin mixing and Fermi transitions of the forbidden type (beta- for N<Z, and beta+ 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.
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"abstract": "We study Fermi transitions and isospin mixing in an isotopic chain 70-78 Kr\nconsidering various approximations that use the same Skyrme-Hartree-Fock single\nparticle basis. We study Coulomb effects as well as the effect of BCS and\nquasiparticle random phase approximation (QRPA) correlations. A measure of\nisospin mixing in the approximate ground state is defined by means of the\nexpectation value of the isospin operator squared in N=Z nuclei (which is\ngeneralized to N different from Z nuclei). Starting from strict Hartree-Fock\napproach without Coulomb, it is shown that the isospin breaking is negligible,\non the order of a few per thousand for (N-Z)=6, increasing to a few percent\nwith Coulomb. Pairing correlations induce rather large isospin mixing and Fermi\ntransitions of the forbidden type (beta- for N\u003cZ, and beta+ for N\u003eZ). The\nenhancement produced by BCS correlations is compensated to a large extent by\nQRPA correlations induced by isospin conserving residual interactions that tend\nto restore isospin symmetry.",
"arxiv_id": "nucl-th/0502086",
"authors": [
"R. Alvarez-Rodriguez",
"E. Moya de Guerra",
"P. Sarriguren"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.71.044308",
"journal_ref": "Phys.Rev. C71 (2005) 044308",
"title": "Isospin mixing and Fermi transitions: Selfconsistent deformed mean field calculations and beyond",
"url": "https://arxiv.org/abs/nucl-th/0502086"
},
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