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We use a $4\hbar\Omega$ shell-model calculation with a two-body effectiveinteraction derived microscopically from the Reid93 potential to calculate theisospin-mixing correction for the 10C->10B superallowed Fermi transition. Theeffective interaction takes into account the Coulomb potential as well as thecharge dependence of T=1 partial waves. Our results suggest the isospin- mixingcorrection $\delta_{C}\approx 0.1 %$, which is compatible with previouscalculations. The correction obtained in those calculations, performed in a$0\hbar\Omega$ space, was dominated by deviation from unity of the radialoverlap between the converted proton and the corresponding neutron. In thepresent calculation this effect is accommodated by the large model space. Theobtained $\delta_{C}$ correction is about a factor of four too small to obtainunitarity of the Cabibbo-Kobayashi-Maskawa matrix with the present experimentaldata.Comment: 14 pages. REVTEX. 3 PostScript figure

physical review. c. nuclear physics/physical review. c, nuclear physics

Large-basis shell-model calculation of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow /><mml:mrow><mml:mn>10</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">C</mml:mi><mml:mo>→</mml:mo></mml:mrow><mml:mrow><mml:mn>10</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">B</mml:mi></mml:math>Fermi matrix element

Large-basis shell-model calculation of the10C→10BFermi matrix element