Abstract
We study the effects of the isospin-symmetry breaking on the superallowed Fermi $\ensuremath{\beta}$ decay of the ground state of $^{82}\mathrm{Nb}$ to $^{82}\mathrm{Zr}$. Results on the analog as well as nonanalog $\ensuremath{\beta}$-decay branches are self-consistently obtained within the complex excited VAMPIR approach. The $^{82}\mathrm{Nb}$ $\ensuremath{\rightarrow}$ $^{82}\mathrm{Zr}$ $\ensuremath{\beta}$ 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.
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