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Numerical details

All calculations presented below were done by using the code HFODD [26,37], version (2.48q) or higher, which includes both the angular-momentum and isospin projections. In order to obtain converged results for isospin mixing with respect to basis truncation, in our SV calculations we used $ N=10$ harmonic oscillator (HO) shells for $ A < 40$ nuclei, 12 shells for $ 40 \le A < 62$ nuclei, and 14 shells for $ A \ge 62$ nuclei. In SHZ2 test calculations, we took $ N=10$ shells for $ A < 40$ and $ N=12$ shells for $ A> 40$ nuclei.

For the numerical integration over the Euler angles in space and isospace ( $ \alpha, \beta, \gamma ; \beta_T$) we used the Gauss-Tchebyschev (over $ \alpha$ and $ \gamma$) and Gauss-Legendre (over $ \beta$ and $ \beta_T$) quadratures. We took $ n_\alpha = n_\beta
= n_\gamma =20$ and $ n_{\beta_T} = 8$ (or 10) integration points. This choice guarantees that the calculated values of $ \delta_{\rm C}$ are not affected by the numerical integration error.

Jacek Dobaczewski 2012-10-19