We find that the excitation energies of single analog states for odd-even nuclei in the $f_{7/2}$ shell with ${J=j=7/2\mathrm{}}^{-}$ and the ${J=0\mathrm{}}^{+}$ double analog states in the even-even nuclei are fairly well described by the formulas $E^{*}\mathrm{}(j,T+1\mathrm{})=b(T+X)\mathrm{}$ and $E^{*}{(0\mathrm{}}^{+},T+2)=2b(T+X+0.5\mathrm{}),$ respectively, where $T=|N-Z|/2\mathrm{}$ is usually the ground-state isospin. Comparisions are made with single j-shell calculations and also those involving configuration mixing.

• Received 1 October 1999

DOI:https://doi.org/10.1103/PhysRevC.61.037305