Linear approximation for the excitation energies of single and double analog states in the f7/2 shell -: art. no. 037305

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(-) and the J = 0(+) double analog states in the even-even nuclei are fairly well described by the formulas E*(j,T+1) = b(T+X) and E*(0(+),T+2) = 2b(T+X+0.5), respectively, where T = \N-Z\/2 is usually the ground-state isospin. Comparisons are made with single j-shell calculations and also those involving configuration mixing.