Our projected DFT approach can be used to predict isospin mixing in heavy nuclei. The calculated ISB corrections and -values in nuclei are listed in Table 4. The values of are also shown in Fig. 12. Note that the predicted ISB corrections are here considerably smaller than those in =70 and =74 nuclei, see Tables 2 and 3. For the sake of comparison, Fig. 12 also shows predictions of Ref. [46] for the Nb Zr transition using the VAMPIR approach with either charge-independent Bonn A potential or charge-dependent Bonn CD potential. Note that our prediction is only slightly below the Bonn A result and significantly lower than the Bonn CD value. For the sake of completeness, it should be mentioned that our -value of 10.379MeV for this transition agrees well with MeV (Bonn A) and 10.291MeV (Bonn CD) calculated within the VAMPIR approach.

(%) | (%) | (%) | (%) | (%) | (%) | (deg) | (MeV) | (MeV) | ||||||||

Y | Sr | 2.765 | 0.976 | 1.20 | 1.19 | 1.20 | 1.20(12) | 0.004 | 60.0 | 10.471 | 10.650 | |||||

Nb | Zr | 3.099 | 1.408 | 0.70 | 0.91 | 0.70 | 0.77(13) | 0.036 | 60.0 | 10.379 | 11.220 | |||||

Tc | Mo | 3.337 | 1.518 | 0.89 | 0.89 | 1.08 | 0.95(13) | 0.122 | 0.0 | 10.965 | 11.350 | |||||

Rh | Ru | 3.525 | 1.608 | 0.99 | 0.99 | 1.09 | 1.02(11) | 0.161 | 0.0 | 11.465 | 12.090 | |||||

Ag | Pd | 3.674 | 1.689 | 0.86 | 0.86 | 1.17 | 0.96(18) | 0.136 | 0.0 | 11.896 | 13.050 | |||||

In | Cd | 3.805 | 1.771 | 0.89 | 0.89 | 1.36 | 1.05(25) | 0.057 | 0.0 | 12.343 | 13.730 |

Our calculated values of are in heavy nuclei considerably smaller than those obtained from a perturbative expression [11,48,5]:

where and denote the number of radial nodes and angular momentum of the valence s.p. spherical wave function, respectively. Indeed, assuming the valence state in , Eq. (24) yields =1.54%. In heavier nuclei, where the spherical valence state is , Eq. (24) gives values that increase smoothly from 1.30% in to 1.64% in .