We study the effects of the isospin-symmetry breaking on the superallowed Fermi $\beta$ decay of the ground state of ${}^{82}\mathrm{Nb}$ to ${}^{82}\mathrm{Zr}$. Results on the analog as well as nonanalog $\beta$-decay branches are self-consistently obtained within the complex excited VAMPIR approach. The ${}^{82}\mathrm{Nb}$ $\to$ ${}^{82}\mathrm{Zr}$ $\beta$ decay to the first two excited $0^{+}$ states with significant strength is predicted to coexist with the superallowed decay. The structure and electromagnetic properties of the analog and nonanalog low- and high-spin states in ${}^{82}\mathrm{Nb}$ and ${}^{82}\mathrm{Zr}$ are compared with the available experimental data.

• Received 23 July 2008

DOI:https://doi.org/10.1103/PhysRevC.78.064311