### Abstract

We use a 4ℏΩ shell-model calculation with a two-body effective interaction derived microscopically from the Reid93 potential to calculate the isospin-mixing correction for the ^{10}C→^{10}B 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 δ_{C}≈0.1%, which is compatible with previous calculations. The correction obtained in those calculations, performed in a 0ℏΩ 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 δ_{C} correction is about a factor of 4 too small to obtain unitarity of the Cabibbo-Kobayashi-Maskawa matrix with the present experimental data.

Original language | English (US) |
---|---|

Pages (from-to) | 2542-2548 |

Number of pages | 7 |

Journal | Physical Review C - Nuclear Physics |

Volume | 56 |

Issue number | 5 |

State | Published - Nov 1997 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Nuclear and High Energy Physics

### Cite this

^{10}C→

^{10}B Fermi matrix element.

*Physical Review C - Nuclear Physics*,

*56*(5), 2542-2548.

**Large-basis shell-model calculation of the ^{10}C→^{10}B Fermi matrix element.** / Navrátil, P.; Barrett, Bruce R; Ormand, W. E.

Research output: Contribution to journal › Article

^{10}C→

^{10}B Fermi matrix element',

*Physical Review C - Nuclear Physics*, vol. 56, no. 5, pp. 2542-2548.

^{10}C→

^{10}B Fermi matrix element. Physical Review C - Nuclear Physics. 1997 Nov;56(5):2542-2548.

}

TY - JOUR

T1 - Large-basis shell-model calculation of the 10C→10B Fermi matrix element

AU - Navrátil, P.

AU - Barrett, Bruce R

AU - Ormand, W. E.

PY - 1997/11

Y1 - 1997/11

N2 - We use a 4ℏΩ 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 δC≈0.1%, which is compatible with previous calculations. The correction obtained in those calculations, performed in a 0ℏΩ 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 δC correction is about a factor of 4 too small to obtain unitarity of the Cabibbo-Kobayashi-Maskawa matrix with the present experimental data.

AB - We use a 4ℏΩ 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 δC≈0.1%, which is compatible with previous calculations. The correction obtained in those calculations, performed in a 0ℏΩ 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 δC correction is about a factor of 4 too small to obtain unitarity of the Cabibbo-Kobayashi-Maskawa matrix with the present experimental data.

UR - http://www.scopus.com/inward/record.url?scp=0040601115&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0040601115&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0040601115

VL - 56

SP - 2542

EP - 2548

JO - Physical Review C - Nuclear Physics

JF - Physical Review C - Nuclear Physics

SN - 0556-2813

IS - 5

ER -