dorsal/arxiv
View SchemaLarge-basis shell-model calculation of 10C->10B Fermi matrix element
| Authors | P. Navratil, B. R. Barrett, W. E. Ormand |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9708032 |
| URL | https://arxiv.org/abs/nucl-th/9708032 |
| DOI | 10.1103/PhysRevC.56.2542 |
| Journal | Phys.Rev.C56:2542-2548,1997 |
Abstract
We use a $4\hbar\Omega$ shell-model calculation with a two-body effective interaction derived microscopically from the Reid93 potential to calculate the isospin-mixing correction for the 10C->10B superallowed Fermi transition. The effective interaction takes into account the Coulomb potential as well as the charge dependence of T=1 partial waves. Our results suggest the isospin- mixing correction $\delta_{C}\approx 0.1 %$, which is compatible with previous calculations. The correction obtained in those calculations, performed in a $0\hbar\Omega$ space, was dominated by deviation from unity of the radial overlap between the converted proton and the corresponding neutron. In the present calculation this effect is accommodated by the large model space. The obtained $\delta_{C}$ correction is about a factor of four too small to obtain unitarity of the Cabibbo-Kobayashi-Maskawa matrix with the present experimental data.
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"abstract": "We use a $4\\hbar\\Omega$ shell-model calculation with a two-body effective\ninteraction derived microscopically from the Reid93 potential to calculate the\nisospin-mixing correction for the 10C-\u003e10B superallowed Fermi transition. The\neffective interaction takes into account the Coulomb potential as well as the\ncharge dependence of T=1 partial waves. Our results suggest the isospin- mixing\ncorrection $\\delta_{C}\\approx 0.1 %$, which is compatible with previous\ncalculations. The correction obtained in those calculations, performed in a\n$0\\hbar\\Omega$ space, was dominated by deviation from unity of the radial\noverlap between the converted proton and the corresponding neutron. In the\npresent calculation this effect is accommodated by the large model space. The\nobtained $\\delta_{C}$ correction is about a factor of four too small to obtain\nunitarity of the Cabibbo-Kobayashi-Maskawa matrix with the present experimental\ndata.",
"arxiv_id": "nucl-th/9708032",
"authors": [
"P. Navratil",
"B. R. Barrett",
"W. E. Ormand"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.56.2542",
"journal_ref": "Phys.Rev.C56:2542-2548,1997",
"title": "Large-basis shell-model calculation of 10C-\u003e10B Fermi matrix element",
"url": "https://arxiv.org/abs/nucl-th/9708032"
},
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