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

P. Navrátil, Bruce R Barrett, W. E. Ormand

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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 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.

Original languageEnglish (US)
Pages (from-to)2542-2548
Number of pages7
JournalPhysical Review C - Nuclear Physics
Volume56
Issue number5
StatePublished - Nov 1997

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matrices
Coulomb potential
unity
interactions
deviation
neutrons
protons

ASJC Scopus subject areas

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

Cite this

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

In: Physical Review C - Nuclear Physics, Vol. 56, No. 5, 11.1997, p. 2542-2548.

Research output: Contribution to journalArticle

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