Normalized shell model alpha decay theory applied to unfavored decay

A shell model $\alpha$ decay theory is presented which uses correctly antisymmetrized and normalized wave functions. Numerical calculations are performed for the $\alpha$ decay constants for unfavored decay of ${}_{}{}^{211}{}_{}{}^{}\mathrm{Po}$ and ${}_{}{}^{211}{}_{}{}^{}\mathrm{Bi}$ and for hindrance factors of excited ${}_{}{}^{212}{}_{}{}^{}\mathrm{Po}$ states. The results are compared with those of the conventional shell model $\alpha$ decay theory.